US 6223128B1
· Allex et al.
· 2001
[cited by applicant]
US 7227900B2
· Porter
· 2007
[cited by applicant]
US 9996778B2
· Church
· 2018
[cited by applicant]
US 20040001371A1
· Mansuripur et al.
· 2004
[cited by applicant]
US 20050053968A1
· Bharadwaj et al.
· 2005
[cited by applicant]
US 20170141793A1
· Strauss et al.
· 2017
[cited by applicant]
US 20180127804A1
· Dean et al.
· 2018
[cited by applicant]
WO 2008087042A1
· 2008
[cited by applicant]
Rosseel, T., Lambrecht, B., Vandenbussche, F. et al. Identification and complete genome sequencing of paramyxoviruses in mallard ducks (
[cited by examiner]
D. Limbachiya, V. Dhameliya, M. Khakhar and M. K. Gupta, “On optimal family of codes for archival DNA storage,” 2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA), Bengal…
[cited by examiner]
Guerrero Fernández, Darío & Larrosa, Rafael & Gonzalo, Claros. (2013). FQbin: a compatible and optimized format for storing and managing sequence data. Current Bioinformatics. (Year: 2013).
[cited by examiner]
Tabatabaei Yazdi, S. M. H., et al.; “A Rewritable, Random-Access DNA-Based Storage System.”; Sci. Rep. 5, 14138; doi: 10.1038/srep14138 (Sep. 18, 2015).
[cited by applicant]
Tabatabaei Yazdi, S. M. H., et al.; Supplementary Information for “A Rewritable, Random-Access DNA-Based Storage System”; Sci. Rep. 5, 14138 (Sep. 18, 2015).
[cited by applicant]
Tabatabaei Yazdi, S. M. H., et al.; “Weakly Mutually Uncorrelated Codes”; arXiv: 1601.08176; Published to arxiv.org on Jan. 29, 2016.
[cited by applicant]
Bancroft, C., et al.; “Long-term storage of information in DNA.”; Science 293, 1763-1765 (2001).
[cited by applicant]
Davis, J.; “Microvenus”; Art Journal 55, 70-74 (1996).
[cited by applicant]
Church, G. M., et al.; “Next-generation digital information storage in DNA.”; Science 337, 1628-1628 (2012).
[cited by applicant]
Goldman, N., et al.; “Towards practical, high-capacity, low-maintenance information storage in synthesized DNA.”; Nature 494, 77-80 (2013).
[cited by applicant]
Grass, R. N., et al.; “Robust chemical preservation of digital information on DNA in silica with error-correcting codes.”; Angewandte Chemie International Edition 54, 2552-2555 (Feb. 4, 2015).
[cited by applicant]
Ross, M. G., et al.; “Characterizing and measuring bias in sequence data.”; Genome Biol 14, R51 (2013).
[cited by applicant]
Cohen, G. D., et al.; “Dc-constrained error-correcting codes with small running digital sum.”; Information Theory, IEEE Transactions on 37, 949-955 (1991).
[cited by applicant]
Blaum, M., et al.; “Error-correcting codes with bounded running digital sum.”; IEEE transactions on information theory 39, 216-227 (1993).
[cited by applicant]
Gilbert, E.; “Synchronization of binary messages.”; Information Theory, IRE Transactions on 6, 470-477 (1960).
[cited by applicant]
Packer, H.; “CRISPR and Cas9 for flexible genome editing.”; Technical report. (2014); Available at: www.idtdna.com/pages/products/genes/gblocks-gene-fragments/decoded-articles/decoded/2013/12/13/crispr-and-cas9-for-flex…
[cited by applicant]
Bryksin, A. V., et al.; “Overlap extension PCR cloning: a simple and reliable way to create recombinant plasmids.”; Biotechniques 48, 463 (2010).
[cited by applicant]
Schuster, S. C.; “Next-generation sequencing transforms today's biology.”; Nature methods 5, 16-18 (2008).
[cited by applicant]
Morita, H., et al.; “On the construction of maximal prefix-synchronized codes.”; Information Theory, IEEE Transactions on 42, 2158-2166 (1996).
[cited by applicant]
Milenkovic, O., et al.; “On the design of codes for DNA computing.”; In Coding and Cryptography, 100-119 (Springer, 2006).
[cited by applicant]
Rouillard, J.-M., et al.; “Oligoarray 2.0: design of oligonucleotide probes for DNA microarrays using a thermodynamic approach.”; Nucleic acids research 31, 3057-3062 (2003).
[cited by applicant]
Guibas, L. J., et al.; “Maximal prefix-synchronized codes.”; SIAM Journal on Applied Mathematics 35, 401-418 (1978).
[cited by applicant]
Massey, J. L.; “Optimum frame synchronization.”; Communications, IEEE Transactions on 20, 115-119 (1972).
[cited by applicant]
Chee, Y. M., et al.; “Cross-bifix-free codes within a constant factor of optimality.”; Information Theory, IEEE Transactions on 59, 4668-4674 (2013).
[cited by applicant]
Blackburn, S. R.; “Non-overlapping codes.”; arXiv preprint arXiv:1303.1026 (2013).
[cited by applicant]
Berman, P., et al.; “Approximating maximum independent set in bounded degree graphs.”; In SODA, vol. 94, 365-371 (1994).
[cited by applicant]
R. G. Gallager; “Low-density parity-check codes, Information Theory”; IRE Transactions on, vol. 8, No. 1, pp. 2128, (1962).
[cited by applicant]
A. J. De Lind Van Wijngaarden, et al.; “Frame synchronization using distributed sequences,”; Communications, IEEE Transactions on, vol. 48, No. 12, pp. 2127-2138 (2000).
[cited by applicant]
D. Baji'c, et al.; “Distributed sequences and search process,”; Communications, IEEE International Conference on, vol. 1. IEEE, 2004, pp. 514-518 (2004).
[cited by applicant]
S. Bilotta, et al.; “A new approach to cross-bifix-free sets,”; IEEE Transactions on Information Theory, vol. 6, No. 58, pp. 4058-4063 (2012).
[cited by applicant]
H. M. Kiah, et al.; “Codes for dna sequence profiles,”; arXiv preprint; arXiv:1502.00517, published to arxiv.org on Feb. 2, 2015.
[cited by applicant]
Tabatabaei Yazdi, S. M. H., et al.; “DNA-Based Storage: Trends and Methods”; arXiv:1507.01611; published to arxiv.org on Jul. 6, 2015.
[cited by applicant]
D. E. Knuth; “Efficient balanced codes,”; Information Theory, IEEE Transactions on, vol. 32, No. 1, pp. 51-53 (1986).
[cited by applicant]
E. N. Gilbert; “A comparison of signalling alphabets,”; Bell System Technical Journal, vol. 31, No. 3, pp. 504-522 (1952).
[cited by applicant]
R. L. Graham, et al.; “Lower bounds for constant weight codes,”; Information Theory, IEEE Transactions on, vol. 26, No. 1, pp. 37-43 (1980).
[cited by applicant]
S. M. Johnson; “A new upper bound for error-correcting codes,”; Information Theory, IRE Transactions on, vol. 8, No. 3, pp. 203-207 (1962).
[cited by applicant]
S. Tavares; “A study of synchronization techniques for binary cyclic codes,”; Ph.D. dissertation, Thesis (Ph. D.)—McGill University (1968).
[cited by applicant]
“GBlocks (TM) Gene Fragments Cloning Protocols”; http://www.idtdna.com/pages/docs/synthetic-biology/gblocks-user-guide.pdf; retrieved Nov. 15, 2016.
[cited by applicant]
“Overlap Extension Polymerase Chain Reaction”—Wikipedia article; https://en.wikipedia.org/wiki/Overlap_extension_polymerase_chain_reaction; retrieved Nov. 15, 2016.
[cited by applicant]
I. S. Reed, et al.; “Polynomial codes over certain finite fields,”; Journal of the society for industrial and applied mathematics, vol. 8, No. 2, pp. 300-304 (1960).
[cited by applicant]
H. M. Kiah, et al.; “Codes for dna storage channels,”; arXiv preprint arXiv:1410.8837, published to arxiv.org on Oct. 31, 2014.
[cited by applicant]
R. Gabrys, et al.; “Asymmetric lee distance codes for dna-based storage,”; arXiv preprint arXiv:1506.00740, published to arxiv.org on Jun. 2, 2015.
[cited by applicant]
S. Kosuri, et al.; “Large-scale de novo dna synthesis: technologies and applications,”; Nature methods, vol. 11, No. 5, pp. 499-507 (2014).
[cited by applicant]
J. Tian, et al.; “Advancing high-throughput gene synthesis technology,”; Molecular BioSystems, vol. 5, No. 7, pp. 714-722 (2009).
[cited by applicant]
S. Ma, et al.; “Dna synthesis, assembly and applications in synthetic biology,”; Current opinion in chemical biology, vol. 16, No. 3, pp. 260-267 (2012).
[cited by applicant]
S. Ma, et al.; “Error correction in gene synthesis technology,”; Trends in biotechnology, vol. 30, No. 3, pp. 147-154 (2012).
[cited by applicant]
A. Michelson, et al.; “Nucleotides part xxxii. synthesis of a dithymidine dinucleotide containing a 3′: 5′-internucleotidic linkage,”; Journal of the Chemical Society (Resumed), pp. 2632-2638 (1955).
[cited by applicant]
R. Hall, et al.; “644. nucleotides. part xli. mixed anhydrides as intermediates in the synthesis of dinucleoside phosphates,”; Journal of the Chemical Society (Resumed), pp. 3291-3296 (1957).
[cited by applicant]
D. R. Zerbino, et al.; “Velvet: algorithms for de novo short read assembly using de Bruijn graphs,”; Genome Res., vol. 18, No. 5, pp. 821-829 (May 2008).
[cited by applicant]
S. Gnerre, et al.; “High-quality draft assemblies of mammalian genomes from massively parallel sequence data,”; Proc. Natl. Acad. Sci. U.S.A., vol. 108, No. 4, pp. 1513-1518 (Jan. 2011).
[cited by applicant]
R. Li, et al.; “De novo assembly of human genomes with massively parallel short read sequencing,” Genome Res., vol. 20, No. 2, pp. 265-272 (Feb. 2010).
[cited by applicant]
J. T. Simpson, et al.; “ABySS: a parallel assembler for short read sequence data,”; Genome Res., vol. 19, No. 6, pp. 1117-1123 (Jun. 2009).
[cited by applicant]
J. T. Simpson, et al.; “Efficient de novo assembly of large genomes using compressed data structures,”; Genome Res., vol. 22, No. 3, pp. 549-556 (Mar. 2012).
[cited by applicant]
S. Kannan, et al.; “More on reconstructing strings from random traces: insertions and deletions,”; Proc. IEEE Intl. Inform. Theory; IEEE; pp. 297-301. (2005).
[cited by applicant]
J. Acharya, et al.; “On reconstructing a string from its substring compositions,”; Proc. IEEE Intl. Symp. Inform. Theory; IEEE; pp. 1238-1242 (2010).
[cited by applicant]
J. Acharya, et al.; “Quadratic-backtracking algorithm for string reconstruction from substring compositions,”; Proc. IEEE Intl. Symp. Inform. Theory; IEEE; pp. 1296-1300 (2014).
[cited by applicant]
P. Medvedev, et al.; “Computability of models for sequence assembly,”; Algorithms in Bioinformatics; Springer; pp. 289-301 (2007).
[cited by applicant]
P. E. Compeau, et al.; “How to apply de Bruijn graphs to genome assembly,”; Nature biotechnology, vol. 29, No. 11, pp. 987-991 (2011).
[cited by applicant]
P. Jacquet, et al.; “Counting Markov types, balanced matrices, and Eulerian graphs,”; IEEE Trans. Inform. Theory; vol. 58, No. 7, pp. 4261-4272 (2012).
[cited by applicant]
K. Nakamura, et al.; “Sequence-specific error profile of Illumina sequencers,”; Nucleic acids research; p. gkr344, (2011).
[cited by applicant]
T. Kløve; “Error correcting codes for the asymmetric channel.”; Department of Pure Mathematics, University of Bergen, (1981).
[cited by applicant]
E. Ukkonen; “Approximate string-matching with q-grams and maximal matches,”; Theoretical computer science, vol. 92, No. 1, pp. 191-211 (1992).
[cited by applicant]
N. G. de Bruijn; “A combinatorial problem,”; Koninklijke Nederlandse Akademie v. Wetenschappen, vol. 49, No. 49, pp. 758-764 (1946).
[cited by applicant]
F. Ruskey, et al.; “De Bruijn sequences for fixed-weight binary strings,”; SIAM Journal on Discrete Mathematics, vol. 26, No. 2, pp. 605-617 (2012).
[cited by applicant]
R. K. Ahuja, et al.; “Network flows: theory, algorithms, and applications.”; Prentice Hall (1993).
[cited by applicant]
R. P. Stanley; “Enumerative combinatorics.”; Cambridge university press; vol. 1. (2011).
[cited by applicant]
R. Varshamov; “A class of codes for asymmetric channels and a problem from the additive theory of numbers,”; IEEE Trans. Inform. Theory, vol. 19, No. 1, pp. 92-95 (1973).
[cited by applicant]
A. I. Barvinok; “A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed,”; Mathematics of Operations Research, vol. 19, No. 4, pp. 769-779 (1994).
[cited by applicant]
P. A. Pevzner, et al.; “Towards DNA sequencing chips,”; in Mathematical Foundations of Computer Science 1994. Springer, pp. 143-158 (1994).
[cited by applicant]
S. Tan, et al.; “Sets represented as the length-n factors of a word,”; in Combinatorics on Words; Springer; pp. 250-261 (2013).
[cited by applicant]
K. Heinrich; “Path decompositions,”; Le Matematiche, vol. 47, No. 2, pp. 241-258 (1993).
[cited by applicant]
J. N. Cooper, et al.; “Generalized de Bruijn cycles,”; Annals of Combinatorics, vol. 8, No. 1, pp. 13-25 (2004).
[cited by applicant]
A. Jiang, et al.; “Rank modulation for flash memories,”; IEEE Trans. Inform. Theory; vol. 55, No. 6, pp. 2659-2673 (2009).
[cited by applicant]
A. Barg, et al.; “Codes in permutations and error correction for rank modulation,”; IEEE Trans. Inform. Theory; vol. 56, No. 7, pp. 3158-3165 (2010).
[cited by applicant]
F. Farnoud, et al.; “Error-correction in flash memories via codes in the Ulam metric,”; IEEE Trans. Inform. Theory; vol. 59, No. 5, pp. 3003-3020 (2013).
[cited by applicant]
F. Farnoud, et al.; “Multipermutation codes in the Ulam metric for nonvolatile memories,”; Selected Areas in Communications IEEE Journal on; vol. 32, No. 5, pp. 919-932 (2014).
[cited by applicant]
T. Alderson, et al.; “On maximum Lee distance codes,”; J. of Discrete Mathematics (2013).
[cited by applicant]
J. Astola; “The Theory of Lee-codes,”; Lappeenranta University of Technology, Department of Physics and Mathematics, Research Report (Jan. 1982).
[cited by applicant]
P. Delsarte; “An algebraic approach to the association schemes of coding theory,”; Doctoral dissertation, Universite Catholique de Louvain (1973).
[cited by applicant]
A. Fazeli, et al.; “Generalized Sphere Packing Bound,”; available at http://arxiv.org/abs/1401.6496 (2014).
[cited by applicant]
Feng, J., et al.; “Identification of Single Nucleotides in MoS2 Nanopores,”; arXiv preprint, arXiv:1505.01608 (2015).
[cited by applicant]
R. Feynman; “There's Plenty of Room at the Bottom,”; Caltech, Pasadena; Lecture (Dec. 29, 1959).
[cited by applicant]
E. Hof, et al., “Capacity-achieving polar codes for arbitrarily permuted parallel channels,”; IEEE Trans. on Info. Theory; vol. 59, No. 3, pp. 1505-1516 (Mar. 2013).
[cited by applicant]
M. Kaykobad' “Positive solutions of positive linear systems,”; Lin. Alg. and its App., vol. 64, pp. 133-140 (Jan. 1985).
[cited by applicant]
A.A. Kulkarni, et al.; “Nonasymptotic upper bounds for deletion correcting codes,”; IEEE Trans. on Info. Theory, vol. 59, No. 8, pp. 5115-5130 (Apr. 2013).
[cited by applicant]
A. Mazumdar, et al.; “Coding for high-density recording on a 1-D granular magnetic medium,”; IEEE Trans. on Info. Theory, vol. 57, No. 11, pp. 7403-7417 (Jun. 2011).
[cited by applicant]
T. Richardson, et al.; “The capacity of low-density parity-check codes under message-passing decoding,”; IEEE Trans. on Info. Theory, vol. 47, No. 2, pp. 599-618 (Aug. 2002).
[cited by applicant]
Tal, I., et al.; “How to construct polar codes,”; IEEE Trans. on Info. Theory, vol. 59, No. 10, pp. 6562-6582 (Sep. 2013).
[cited by applicant]
J. Bornholt, et al.; “A dna-based archival storage system,”; Proceedings of the Twenty-First International Conference on Architectural Support for Programming Languages and Operating Systems; ACM, pp. 637-649 (2016).
[cited by applicant]
D. Bajic, et al.; “A simple suboptimal construction of cross-bifix-free codes”; Cryptography and Communications archive 6:27-37 (Aug. 8, 2013).
[cited by applicant]
V. Baldoni, et al.; “A user's guide for LattE integrale v1.7.2”; retrieved from https://www.math.ucdavis.edu/˜latte/software/packages/latte_current/manual_v1.7.2.pdf on Mar. 8, 2017; (Oct. 2014).
[cited by applicant]
T. Abualrub, et al.; “Construction of cyclic codes over GF(4) for DNA computing”; Journal of the Franklin Institute, 343, pp. 448-457 (2006).
[cited by applicant]
D.H. Wood; “Applying error correcting codes to DNA computing (Abstract)”; Proceedings of the 4th DIMACS International Meeting on DNA Based Computing, pp. 109-110 (1998).
[cited by applicant]
M. Hagiwara; “A short proof for the multi-deletion error correction property of Helberg codes,”; IEICE Communications Express, vol. 5, No. 2, pp. 49-51 (Jan. 25, 2016).
[cited by applicant]
O. Milenkovic, et al.; “On the design of codes for DNA computing”; Coding and Cryptography International Workshop, Revised Selected Papers, pp. 100-119 (Mar. 14-18, 2005).
[cited by applicant]
J.I. Hall; “Notes on Coding Theory (Chapter 5—Generalized Reed-Solomon Codes)”; Department of Mathematics, Michigan State University; available online at http://users.math.msu.edu/users/jhall/classes/codenotes/coding-no…
[cited by applicant]
J.I. Hall; “Notes on Coding Theory (Chapter 6—Modifying Codes)”; Department of Mathematics, Michigan State University; available online at http://users.math.msu.edu/users/jhall/classes/codenotes/coding-notes.html; (Jan.…
[cited by applicant]
J.I. Hall; “Notes on Coding Theory (Chapter 7—Codes over Subfields)”; Department of Mathematics, Michigan State University; available online at http://users.math.msu.edu/users/jhall/classes/codenotes/coding-notes.html; …
[cited by applicant]
J.I. Hall; “Notes on Coding Theory (Chapter 8—Cyclic Codes)”; Department of Mathematics, Michigan State University; available online at http://users.math.msu.edu/users/jhall/classes/codenotes/coding-notes.html; (Jan. 7,…
[cited by applicant]
J.I. Hall; “Notes on Coding Theory (Chapter 9—Weight and Distance Enumeration)”; Department of Mathematics, Michigan State University; available online at http://users.math.msu.edu/users/jhall/classes/codenotes/coding-n…
[cited by applicant]
Ye et al, Primer-Blast: A tool to design target-specific primers for polymerase chain reaction BMC Bioinformatics, vol. 13, article 134 (Year: 2012).
[cited by applicant]
Shendure et al, Next-generation DNA sequencing Nature Biotechnology vol. 26, pp. 1135-1145 (Year: 2008).
[cited by applicant]
Meunier et al, Recombination Drives the Evolution of GC-Content in the Human Genome Molecular Biology and Evolution, vol. 21, pp. 984-990 (Year: 2004).
[cited by applicant]
J. Brakensiek, et al.; “Efficient low-redundancy codes for correcting multiple deletions,”; arXiv preprint arXiv:1507.06175 (2015).
[cited by applicant]
E. Brill, et al.; “An improved error model for noisy channel spelling correction,”; Proceedings of the 38th Annual Meeting on Association for Computational Linguistics. Association for Computational Linguistics, pp. 286…
[cited by applicant]
D. Cullina, et al.; “An improvement to levenshtein's upper bound on the cardinality of deletion correcting codes,”; IEEE Transactions on Information Theory, vol. 60, No. 7, pp. 3862-3870 (2014).
[cited by applicant]
F. J. Damerau; “A technique for computer detection and correction of spelling errors,” Commun. ACM, vol. 7, No. 3, pp. 171-176 Available: http://doi.acm.org/10.1145/363958.363994 (Mar. 1964).
[cited by applicant]
R. Gabrys, et al.; “Graded bit-error-correcting codes with applications to flash memory,”; IEEE Transactions on Information Theory, vol. 59, No. 4, pp. 2315-2327 (2013).
[cited by applicant]
A. S. Helberg, et al.; “On multiple insertion/deletion correcting codes,” Information Theory, IEEE Transactions on, vol. 48, No. 1, pp. 305-308 (2002).
[cited by applicant]
S. Kumar, et al.; “Mega3: integrated software for molecular evolutionary genetics analysis and sequence alignment,”; Briefings in bioinformatics, vol. 5, No. 2, pp. 150-163 (2004).
[cited by applicant]
V. I. Levenshtein; “Binary codes capable of correcting deletions, insertions, and reversals,” in Soviet physics doklady, vol. 10, No. 8, pp. 707-710 (1966).
[cited by applicant]
F. Paluncic, et al.; “A note on non-binary multiple insertion/deletion correcting codes,” in IEEE Information Theory Workshop (2011).
[cited by applicant]
F. Sala, et al.; “Exact reconstruction from insertions in synchronization codes,”; arXiv preprint, arXiv:1604.03000 (2016).
[cited by applicant]
C. Schoeny, et al.; “Codes for correcting a burst of deletions or insertions,”; arXiv preprint, arXiv:1602.06820 (2016).
[cited by applicant]
L. J. Schulman; “Asymptotically good codes correcting insertions, deletions, and transpositions,”; IEEE transactions on information theory, vol. 45, No. 7, pp. 2552-2557 (1999).
[cited by applicant]
N. J. Sloane; “On single-deletion-correcting codes,”; Codes and Designs, de Gruyter, Berlin, pp. 273-291 (2002).
[cited by applicant]
M. M. Vilenchik; “Endogenous dna double-strand breaks: production, fidelity of repair, and induction of cancer,”; Proceedings of the National Academy of Sciences, vol. 100, No. 22, pp. 12871-12876 (2003).
[cited by applicant]
J. Wolf; “On codes derivable from the tensor product of check matrices,”; IEEE Transactions on Information Theory, vol. 11, No. 2, pp. 281-284 (1965).
[cited by applicant]
L.M. Adleman; “Molecular computation of solutions to combinatorial problems,”; Science, vol. 266, pp. 1021-1024 (Nov. 1994).
[cited by applicant]
Y. Benenson, et al.; “An autonomous molecular computer for logical control of gene expression,”; Nature, vol. 429, pp. 423-429 (May 2004).
[cited by applicant]
D. Boneh, et al.; “Breaking DES using a molecular computer,”; Technical Report CS-TR-489-95, Department of Computer Science, Princeton University (1995).
[cited by applicant]
R.S. Braich, et al.; “Solution of a 20-variable 3-SAT problem on a DNA computer,”; Science, vol. 296, pp. 492-502 (Apr. 2002).
[cited by applicant]
K. Breslauer, et al.; “Predicting DNA duplex stability from the base sequence,”; Proc. Natl. Acad. Sci. USA, vol. 83, pp. 3746-3750 (1986).
[cited by applicant]
P. Clote, et al.; “Computational Molecular Biology—an Introduction,”; Wiley Series in Mathematical and Computational Biology, New York (2000).
[cited by applicant]
A. D'yachkov, et al.; “Exordium for DNA codes,”; J. Comb. Optim., vol. 7, No. 4, pp. 369-379 (2003).
[cited by applicant]
A. D'yachkov, et al.; “New results on DNA codes,”; Proc. IEEE Int. Symp. Inform. Theory (ISIT'05), Adelaide, Australia, pp. 283-287 (Sep. 2005).
[cited by applicant]
P. Gaborit, et al.; “Linear constructions for DNA codes,”; Theoretical Computer Science, vol. 334, No. 1-3, pp. 99-113 (Apr. 2005).
[cited by applicant]
C.H. Cooke, et al.; “Polynomial construction of complex Hadamard matrices with cyclic core,”; Applied Mathematics Letters, vol. 12, pp. 87-93 (1999).
[cited by applicant]
O.D. King; “Bounds for DNA codes with constant GC-content,”; The Electronic Journal of Combinatorics, vol. 10, No. 1, #R33 (2003).
[cited by applicant]
M. Mansuripur, et al.; “Information storage and retrieval using macromolecules as storage media,”; University of Arizona Technical Report (2003).
[cited by applicant]
A. Marathe, et al.; “On combinatorial DNA word design,”; J. Comput. Biol., vol. 8, pp. 201-219 (2001).
[cited by applicant]
S. Mneimneh; “Computational Biology Lecture 20: RNA secondary structures,”; available online at engr.smu.edu/»saad/courses/cse8354/lectures/lecture20.pdf.
[cited by applicant]
O. Milenkovic; “On the generalized Hamming weight enumerators and coset weight distributions of even isodual codes,”; Proceedings of the 2001 IEEE International Symposium on Information Theory (Jun. 29, 2001).
[cited by applicant]
O. Milenkovic, et al.; “DNA codes that avoid secondary structures,” Proc. IEEE Int. Symp. Inform. Theory (ISIT'05), Adelaide, Australia, pp. 288-292 (Sep. 2005).
[cited by applicant]
R. Nussinov, et al.; “Fast algorithms for predicting the secondary structure of single stranded RNA,”; Proc. Natl. Acad. Sci. USA, vol. 77, No. 11, pp. 6309-6313 (1980).
[cited by applicant]
V. Rykov, et al.; “DNA sequences and quaternary cyclic codes,” Proc. IEEE Int. Symp. Inform. Theory (ISIT'01), Washington DC, p. 248 (Jun. 2001).
[cited by applicant]
M.N. Stojanovic, et al.; “A deoxyribozyme-based molecular automaton,”; Nature Biotechnology vol. 21, pp. 1069-1074 (2003).
[cited by applicant]
M. SvanstrÅom, et al.; “Bounds and constructions for ternary constant-composition codes,”; IEEE Trans. Inform. Theory, vol. 48, No. 1, pp. 101-111 (Jan. 2002).
[cited by applicant]
S. Tsaftaris, et al.; “DNA computing from a signal processing viewpoint,”; IEEE Signal Processing Magazine, pp. 100-106 (Sep. 2004).
[cited by applicant]
K.K. Tzeng, et al.; “On extending Goppa codes to cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-21, pp. 712-716 (Nov. 1975).
[cited by applicant]
E. Winfree, “DNA computing by self-assembly,” The Bridge, vol. 33, No. 4, pp. 31-38 (2003); Also available online at http://www.dna.caltech.edu/Papers/FOE 2003 final.pdf.
[cited by applicant]
M. Zuker; “Mfold web server for nucleic acid folding and hybridization prediction,”; Nucleic Acids Res., vol. 31, No. 13, pp. 3406-3415 (2003) Web access at http://www.bioinfo.rpi.edu/»zukerm/rna/.
[cited by applicant]
R. Gabrys, et al.; “Codes in the Damerau Distance for Deletion and Adjacent Transposition Correction”; arXiv:1601.06885, published to arxiv.org on Sep. 6, 2016.
[cited by applicant]
P. T. Gilham, et al.; “Studies on polynucleotides. i. a new and general method for the chemical synthesis of the c5 internucleotidic linkage. syntheses of deoxyribo-dinucleotides1,”; Journal of the American Chemical Soc…
[cited by applicant]
S. Roy, et al.; “Synthesis of dna/rna and their analogs via phosphoramidite and h-phosphonate chemistries,”; Molecules, vol. 18, No. 11, pp. 14 268-14 284 (2013).
[cited by applicant]
C. B. Reese; “Oligo- and poly-nucleotides: 50 years of chemical synthesis,”; Organic & biomolecular chemistry, vol. 3, No. 21, pp. 3851-3868 (2005).
[cited by applicant]
B. C. Froehler, et al. “Synthesis of dna via deoxynudeoside h-phosphonate intermediates,”; Nucleic Acids Research, vol. 14, No. 13, pp. 5399-5407 (1986).
[cited by applicant]
P. J. Garegg, et al.; “Nucleoside h-phosphonates. iii. chemical synthesis of oligodeoxyribonucleotides by the hydrogenphosphonate approach,”; Tetrahedron letters, vol. 27, No. 34, pp. 4051-4054 (1986).
[cited by applicant]
H. Khorana, et al.; “Syntheses of dideoxyribonucleotides,”; Journal of the American Chemical Society, vol. 79, No. 4, pp. 1002-1003 (1957).
[cited by applicant]
R. L. Letsinger, et al.; “Oligonucleotide synthesis on a polymer support1, 2,” Journal of the American Chemical Society, vol. 87, No. 15, pp. 3526-3527 (1965).
[cited by applicant]
R. L. Letsinger, et al; “Nucleotide chemistry. xiii. synthesis of oligothymidylates via phosphotriester intermediates,”; Journal of the American Chemical Society, vol. 91, No. 12, pp. 3350-3355 (1969).
[cited by applicant]
R. L. Letsinger, et al.; “Synthesis of thymidine oligonucleotides by phosphite triester intermediates,”; Journal of the American Chemical Society, vol. 98, No. 12, pp. 3655-3661 (1976).
[cited by applicant]
S. Beaucage, et al.; “Deoxynucleoside phosphoramiditesa new class of key intermediates for deoxypolynucleotide synthesis,”; Tetrahedron Letters, vol. 22, No. 20, pp. 1859-1862 (1981).
[cited by applicant]
N. Sinha, et al.; “Polymer support oligonucleotide synthesis xviii1. 2): use of cyanoethyi-n, ndialkylamino-/n-morpholino phosphoramidite of deoxynucleosides for the synthesis of dna fragments simplifying deprotection a…
[cited by applicant]
S. P. Fodor, et al.; “Light-directed, spatially addressable parallel chemical synthesis,”; Science, vol. 251 (1991).
[cited by applicant]
A. C. Pease, et al.; “Light-generated oligonucleotide arrays for rapid dna sequence analysis,”; Proceedings of the National Academy of Sciences, vol. 91, No. 11, pp. 5022-5026 (1994).
[cited by applicant]
X. Gao, et al.; “In situ synthesis of oligonucleotide microarrays,”; Biopolymers, vol. 73, No. 5, pp. 579-596 (2004).
[cited by applicant]
T. R. Hughes, et al.; “Expression profiling using microarrays fabricated by an ink-jet oligonucleotide synthesizer,”; Nature biotechnology, vol. 19, No. 4, pp. 342-347 (2001).
[cited by applicant]
S. Singh-Gasson, et al.; “Maskless fabrication of light-directed oligonucleotide microarrays using a digital micromirror array,”; Nature biotechnology, vol. 17, No. 10, pp. 974-978 (1999).
[cited by applicant]
E. F. Nuwaysir, et al.; “Gene expression analysis using oligonucleotide arrays produced by maskless photolithography,”; Genome research, vol. 12, No. 11, pp. 1749-1755 (2002).
[cited by applicant]
A. L. Ghindilis, et al.; “Combimatrix oligonucleotide arrays: genotyping and gene expression assays employing electrochemical detection,”; Biosensors and Bioelectronics, vol. 22, No. 9, pp. 1853-1860 (2007).
[cited by applicant]
D. S. Kong, et al.; “Parallel gene synthesis in a microfluidic device,”; Nucleic acids research, vol. 35, No. 8, p. e61, (2007).
[cited by applicant]
E. M. LeProust, et al.; “Synthesis of high-quality libraries of long (150mer) oligonucleotides by a novel depurination controlled process,”; Nucleic acids research, vol. 38, No. 8, pp. 2522-2540 (2010).
[cited by applicant]
L.-C. Au, et al.; “Gene synthesis by a lcr-based approach: High-level production of leptin-I54 using synthetic gene
[cited by applicant]
W. P. Stemmer, et al.; “Single-step assembly of a gene and entire plasmid from large numbers of oligodeoxyribonucleotides,”; Gene, vol. 164, No. 1, pp. 49-53 (1995).
[cited by applicant]
D. G. Gibson; “Synthesis of dna fragments in yeast by one-step assembly of overlapping oligonucleotides,”; Nucleic acids research, p. gkp687 (2009).
[cited by applicant]
D. G. Gibson, et al.; “Chemical synthesis of the mouse mitochondrial genome,”; nature methods, vol. 7, No. 11, pp. 901-903 (2010).
[cited by applicant]
J. Tian, et al.; “Accurate multiplex gene synthesis from programmable dna microchips,”; Nature, vol. 432, No. 7020, pp. 1050-1054 (2004).
[cited by applicant]
A. Y. Borovkov, et al.; “Highquality gene assembly directly from unpurified mixtures of microarraysynthesized oligonucleotides,”; Nucleic acids research, vol. 38, No. 19, pp. e180-e180 (2010).
[cited by applicant]
S. Kosuri, et al.; “Scalable gene synthesis by selective amplification of dna pools from high-fidelity microchips,”; Nature biotechnology, vol. 28, No. 12, pp. 1295-1299 (2010).
[cited by applicant]
J. Quan, et al.; “Parallel on-chip gene synthesis and application to optimization of protein expression,”; Nature biotechnology, vol. 29, No. 5, pp. 449-452 (2011).
[cited by applicant]
P. A. Carr, et al.; “Protein-mediated error correction for de novo dna synthesis,”; Nucleic acids research, vol. 32, No. 20, pp. e162-e162 (2004).
[cited by applicant]
B. F. Binkowski, et al.; “Correcting errors in synthetic dna through consensus shuffling,”; Nucleic acids research, vol. 33, No. 6, pp. e55-e55 (2005).
[cited by applicant]
W. Wan, et al.; “Error removal in microchip-synthesized dna using immobilized muts,”; Nucleic acids research, p. gku405 (2014).
[cited by applicant]
J. Smith, et al.; “Removal of polymerase-produced mutant sequences from pcr products,”; Proceedings of the National Academy of Sciences, vol. 94, No. 13, pp. 6847-6850 (1997).
[cited by applicant]
M. Fuhrmann, et al.; “Removal of mismatched bases from synthetic genes by enzymatic mismatch cleavage,”; Nucleic acids research, vol. 33, No. 6, pp. e58-e58 (2005).
[cited by applicant]
B. J. Till, et al.; “Mismatch cleavage by single-strand specific nucleases,”; Nucleic Acids Research, vol. 32, No. 8, pp. 2632-2641 (2004).
[cited by applicant]
C. A. Oleykowski, et al.; “Mutation detection using a novel plant endonuclease,”; Nucleic acids research, vol. 26, No. 20, pp. 4597-4602 (1998).
[cited by applicant]
I. Saaem, et al.; “Error correction of microchip synthesized genes using surveyor nuclease,”; Nucleic acids research, p. gkr887 (2011).
[cited by applicant]
P. R. Dormitzer, et al.; “Synthetic generation of influenza vaccine viruses for rapid response to pandemics,”; Science translational medicine, vol. 5, No. 185, pp. 185ra68-185ra68 (2013).
[cited by applicant]
M. Matzas, et al.; “Highfidelity gene synthesis by retrieval of sequence-verified dna identified using high-throughput pyrosequencing,”; Nature biotechnology, vol. 28, No. 12, pp. 1291-1294 (2010).
[cited by applicant]
H. Lee, et al.; “A high-throughput optomechanical retrieval method for sequence-verified clonal dna from the ngs platform,”; Nature communications, vol. 6 (2015).
[cited by applicant]
H. Kim, et al.; “‘shotgun dna synthesis’ for the high-throughput construction of large dna molecules,”; Nucleic acids research, p. gks546 (2012).
[cited by applicant]
J. J. Schwartz, et al.; “Accurate gene synthesis with tag-directed retrieval of sequence-verified dna molecules,”; Nature methods, vol. 9, No. 9, pp. 913-915 (2012).
[cited by applicant]
R. Higuchi, et al.; “A general method of in vitro preparation and specific mutagenesis of dna fragments: study of protein and dna interactions,”; Nucleic acids research, vol. 16, No. 15, pp. 7351-7367 (1988).
[cited by applicant]
R. Jansen, et al.; “Identification of genes that are associated with dna repeats in prokaryotes,”; Molecular microbiology, vol. 43, No. 6, pp. 1565-1575 (2002).
[cited by applicant]
F. Sanger, et al.; “DNA sequencing with chainterminating inhibitors,”; Proc. Natl. Acad. Sci. U.S.A., vol. 74, No. 12, pp. 5463-5467 (Dec. 1977).
[cited by applicant]
E. S. Lander, et al.; “Initial sequencing and analysis of the human genome,”; Nature, vol. 409, No. 6822, pp. 860-921 (Feb. 2001).
[cited by applicant]
R. H. Waterston, et al.; “Initial sequencing and comparative analysis of the mouse genome,”; Nature, vol. 420, No. 6915, pp. 520-562 (Dec. 2002).
[cited by applicant]
D. A. Wheeler, et al.; “The complete genome of an individual by massively parallel DNA sequencing,”; Nature, vol. 452, No. 7189, pp. 872-876 (Apr. 2008).
[cited by applicant]
P. A. Pevzner, et al.; “An Eulerian path approach to DNA fragment assembly,”; Proc. Natl. Acad. Sci. U.S.A., vol. 98, No. 17, pp. 9748-9753 (Aug. 2001).
[cited by applicant]
Alon, et al., “Simple constructions of almost k-wise independent random variables,” Random Structures & Algorithms, vol. 3, No. 3, pp. 289-304, 1992.
[cited by applicant]
Batu, et al., “Reconstructing strings from random traces,” in Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2004, pp. 910-918.
[cited by applicant]
Bertalmio et al., “Image Inpainting”, in Proceedings of the 27th annual conference on Computer graphics and interactive techniques. ACM Press/Addison-Wesley Publishing Co., 2000, pp. 417-424.
[cited by applicant]
Haeupler et al., “Repeated deletion channels,” in 2014 IEEE Information Theory Workshop (ITW), Nov. 2014, pp. 152-156.
[cited by applicant]
Holenstein, et al., “Trace reconstruction with constant deletion probability and related results,” in Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2008, pp. 389-398.
[cited by applicant]
Huffman, “A Method for the Construction of Minimum-Redundancy Codes”, Proceedings of the I.R.E., Sep. 1952, pp. 1098-1101.
[cited by applicant]
Kumar and Milenkovic, “On Unequal Error Protection LDPC Codes Based on Plotkin-Type Constructions”, IEEE Transactions on Communication, vol. 54, No. 6, Jun. 2006, pp. 994-1005.
[cited by applicant]
Levenshtein, “Efficient reconstruction of sequences,” IEEE Transactions on Information Theory, vol. 47, No. 1, pp. 2-22, Jan. 2001.
[cited by applicant]
Magner, et al, “Fundamental bounds for sequence reconstruction from nanopore sequencers,” IEEE Transactions on Molecular, Biological and Multi-Scale Communications, vol. 2, No. 1, pp. 92-106, Jun. 2016.
[cited by applicant]
McGregor, et al., “Trace reconstruction revisited,” in Algorithms—ESA 2014, A. S. Schulz and D. Wagner, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014, pp. 689-700.
[cited by applicant]
Milenkovic, et al.; “On the design of codes for DNA computing”; Coding and Cryptography International Workshop, Revised Selected Papers, pp. 100-119 (Mar. 14-18, 2005).
[cited by applicant]
Moon, et al., “Analysis of the clustering properties of the Hilbert space-filling curve,” in IEEE Transactions on Knowledge and Data Engineering, vol. 13, No. 1, pp. 124-141, Jan.-Feb. 2001, doi: 10.1109/69.908985.
[cited by applicant]
Nazeri et al., “EdgeConnect: Generative Image Inpainting with Adversarial Edge Learning”, https://github.com/knazeri/edge-connect; pp. 1-17, 2019.
[cited by applicant]
Notice of Allowance, U.S. Appl. No. 15/356,118, mailed Sep. 16, 2019.
[cited by applicant]
Office Action, U.S. Appl. No. 15/356,118, mailed May 3, 2019.
[cited by applicant]
Office Action, U.S. Appl. No. 15/356,118, mailed Jul. 19, 2019.
[cited by applicant]
Office Action, U.S. Appl. No. 17/102,143, mailed Feb. 17, 2023.
[cited by applicant]
Organick, et al., “Random access in large-scale DNA data storage,” Nature biotechnology, vol. 36, No. 3, p. 242, 2018.
[cited by applicant]
Peres et al, “Average-case reconstruction for the deletion channel: subpolynomially many traces suffice,” arXiv e-prints, p. arXiv:1708.00854, Aug. 2017.
[cited by applicant]
Schouhamer Immink et al., “Very efficient balanced codes,” IEEE Journal on Selected Areas in Communications, vol. 28, No. 2, pp. 188-192, Feb. 2010.
[cited by applicant]
Shinkar, et al., “Clustering-correcting codes,” arXiv e-prints, p. arXiv: 1903.04122, Mar. 2019.
[cited by applicant]
Shomorony et al, “Capacity results for the noisy shuffling channel,” arXiv e-prints, p. arXiv:1902.10832, Feb. 2019.
[cited by applicant]
Song, et al., “Sequence-subset distance and coding for error control in DNA-based data storage,” arXiv e-prints, p. arXiv:1809.05821, Sep. 2018.
[cited by applicant]
Srinivasavaradhan, et al, “On maximum likelihood reconstruction over multiple deletion channels,” in 2018 IEEE International Symposium on Information Theory (ISIT), Jun. 2018, pp. 436-440.
[cited by applicant]
Tabatabaei et al., “DNA punch cards for storing data on native DNA sequences via enzymatic nicking”. Nature Communications (2020) 11:17:1742 https://doi.org/10.1038/ s41467-020-15588-z www.nature.com/naturecommunication…
[cited by applicant]
Tabatabaei Yazdi, et al, “Mutually uncorrelated primers for DNA-based data storage,” IEEE Transactions on Information Theory, vol. 64, No. 9, pp. 6283-6296, Sep. 2018.
[cited by applicant]
Tomasi and Manduchi, “Bilateral Filtering for Gray and Color Images”, Proceeding of the 1998 IEEE International Conference on Computer Vision, Bombay, India, 8 pages.
[cited by applicant]
Yazdi et al., “Portable and Error-Free DNA-Based Data Storage”, Scientific Reports, www.nature.com/scientificreports, 7:5011 DOI:10.1038/s41598-017-05188-1 (2017).
[cited by applicant]
Zhirnov et al., Nucleic Acid Memory, Nat. Mater. Apr. 2016; 15(4):366-370. doi:10.1038/nmat4594.
[cited by applicant]
Notice of Allowance, U.S. Appl. No. 17/102,143, mailed May 4, 2023.
[cited by applicant]
Office Action, U.S. Appl. No. 17/069,247, mailed Oct. 5, 2023.
[cited by applicant]