Interleaved Reed-Solomon (IRS) with collaborative decoding
Provided is a memory system comprising a plurality of memory components. The ECC decoding is configured to construct first and second codewords from a single set of data within the plurality of memory components and perform error correction code (ECC) decoding on the first and second codewords received read from the plurality of memory components wherein the ECC decoding is configured to (i) detect random errors in the first received codeword and (ii) use data associated with the detected random errors to correct erasures in the second received codeword.
1 . A memory system comprising:
a plurality of memory components; and
a controller in communication with the plurality of memory components and configured to:
perform error correction code (ECC) decoding on first and second received codewords read from the plurality of memory components;
respectively calculate first and second syndromes for the first and second received codewords in parallel;
combine results of the first and second syndromes in a multiple shift register computation to generate a single set of error location polynomials (ELP);
produce a set of polynomial roots from the single set of ELPs; and
determine error magnitudes separately for each of the first and second codewords responsive to the single set of ELPs.
2 . The memory system of claim 1 , wherein the calculating corrects the first and second codewords.
3 . The memory system of claim 1 , wherein the ECC decoding includes calculating syndromes of the first and second codewords.
4 . The memory system of claim 3 , wherein the ECC decoding includes calculating error location polynomials (ELPs) from the calculated syndromes.
5 . The memory system of claim 3 , wherein the ECC decoding includes deriving polynomial root values from the calculated ELPs.
6 . The memory system of claim 1 , wherein the random errors include at least one of bit and symbol errors.
7 . The memory system of claim 1 , wherein the plurality of memory components includes dynamic random access memory (DRAM) devices.
8 . The memory system of claim 7 , wherein the memory system is constructed in accordance compute express link (CXL) principles.
9 . The memory system of claim 8 , wherein the ECC decoding is performed in accordance with Reed Solomon (RS) codes.
10 . A method comprising:
performing, via a plurality of memory components in communication with a controller, error correction code (ECC) decoding on first and second received codewords read from the plurality of memory components;
respectively calculating first and second syndromes for the first and second received codewords in parallel;
combining results of the first and second syndromes in a multiple shift register computation to generate a single set of error location polynomials (ELP);
producing a set of polynomial roots from the single set of ELPs; and
determining error magnitudes separately for each of the first and second codewords responsive to the single set of ELPs.
11 . The method of claim 10 , wherein the calculating corrects the first and second codewords.
12 . The method of claim 10 , wherein the ECC decoding includes calculating syndromes of the first and second codewords.
13 . The method of claim 12 , wherein the ECC decoding includes calculating error location polynomials (ELPs) from the calculated syndromes.
14 . The method of claim 13 , wherein the ECC decoding includes deriving polynomial root values from the calculated ELPs.
15 . The method of claim 10 , wherein the random errors include at least one of bit and symbol errors.
16 . The method of claim 10 , wherein the plurality of memory components includes dynamic random access memory (DRAM) devices.
17 . A non-transitory computer readable medium comprising computer executable instructions that, if executed by a computing device, cause the computing device to perform a method for use by a memory controller of a memory system including a plurality of memory components, the method comprising:
performing, via a plurality of memory components in communication with a controller, error correction code (ECC) decoding on first and second received codewords read from the plurality of memory components;
respectively calculating first and second syndromes for the first and second received codewords in parallel;
combining results of the first and second syndromes in a multiple shift register computation to generate a single set of error location polynomials (ELP);
producing a set of polynomial roots from the single set of ELPs; and
determining error magnitudes separately for each of the first and second codewords responsive to the single set of ELPs.
18 . The non-transitory computer readable medium of claim 17 , wherein the ECC decoding includes calculating syndromes of the first and second codewords.
19 . The non-transitory computer readable medium of claim 18 , wherein the ECC decoding includes calculating error location polynomials (ELPs) from the calculated syndromes.
20 . The non-transitory computer readable medium of claim 19 , wherein the memory system is constructed in accordance compute express link (CXL) principles.