Sequence determining method and apparatus

1. A method, comprising:

determining, by an apparatus, an index v of a sequence group, wherein the sequence group comprises a sequence {x n } and a sequence {y m }; and

determining, by the apparatus based on the index v of the sequence group, a second sequence, wherein the second sequence is at least one of a second sequence {f n } or a second sequence {g m }; and

receiving, by the apparatus based on the second sequence, uplink control information or a reference signal, wherein:

the sequence {x n } corresponds to the second sequence {f n }, and the sequence {y m } corresponds to the second sequence {g m }, f n is an element in the second sequence {f n }, g m is an element in the second sequence {g m }, a length of the second sequence {f n } is N, a length of the second sequence {g m } is M, n and m are integers, 0≤n≤N−1, and 0≤m≤M−1;

the element f n satisfies f n =A·x n ·e j·α·n ;

the element g m satisfies g m =A·y m ·e j·α·m ;

A is a non-zero complex number, α is a real number, and j=√{square root over (−1)};

an element x n in the sequence {x n } satisfies x n =u·e π·j·s n /4 , wherein u is a non-zero complex number, and s n is an element in a sequence {s n };

an element y m in the sequence {y m } satisfies y m =k q (m mod M prime ),

k

q

⁡

(

i

)

=

e

-

j

⁢

π

·

q

·

i

·

(

i

+

1

)

M

prime

wherein i is an integer, 0≤i≤M prime −1, M prime is a largest prime number that is smaller than M; and

when N=24 and M=36, a combination of the sequence {s n } and q is one of following combinations, wherein the following combinations belong to a combination set, and the following combinations comprise:

the sequence {s n } is {−1, −3, 3, −1, 3, 1, 3, −1, 1, −3, −1, −3, −1, 1, 3, −3, −1, −3, 3, 3, 3, −3, −3, −3}, and q=1;

the sequence {s n } is {1, −3, 3, −1, −3, −1, 3, 3, 1, −1, 1, 1, 3, −3, −1, −3, −3, −3, −1, 3, −3, −1, −3, −3}, and q=4;

the sequence {s n } is {−1, 3, −3, −3, −1, 3, −1, −1, 1, 3, 1, 3, −1, −1, −3, 1, 3, 1, −1, −3, 1, −1, −3, −3}, and q=5;

the sequence {s n } is {−3, 1, 3, −1, 1, −1, 3, −3, 3, −1, −3, −1, −3, 3, −1, −1, −1, −3, −1, −1, −3, 3, 3, −3}, and q=8;

the sequence {s n } is {−3, 1, −3, 3, −1, −1, −1, −3, 3, 1, −1, −3, −1, 1, 3, −1, 1, −1, 1, −3, −3, −3, −3, −3}, and q=9;

the sequence {s n } is {1, 1, −1, −3, −1, 1, 1, −3, 1, −1, 1, −3, 3, −3, −3, 3, −1, −3, 1, 3, −3, 1, −3, −3}, and q=10;

the sequence {s n } is {−3, −3, −3, −1, 3, 3, 1, 3, 1, −3, −1, −1, −3, 1, 1, 3, 1, −1, −3, 3, 1, 3, −3}, and q=11;

the sequence {s n } is {−3, 3, −1, 3, 1, −1, −1, −1, 3, 3, 1, 1, 1, 3, 3, 1, −3, −3, −1, 1, −3, 1, 3, −3}, and q=12;

the sequence {s n } is {3, −3, 3, −1, −3, 1, 3, 1, −1, −1, −3, −1, 3, −3, 3, −1, −1, 3, 3, −3, −3, 3, −3, −3}, and q=13;

the sequence {s n } is {−3, 3, −1, 3, −1, 3, 3, 1, 1, −3, 1, 3, −3, 3, −3, −3, −1, 1, 3, −3, −1, −1, −3, −3}, and q=14;

the sequence {s n } is {−3, 1, −3, −1, −1, 3, 1, 3, −3, 1, −1, 3, 3, −1, −3, 3, −3, −1, −1, −3, −3, −3, 3, −3}, and q=15;

the sequence {s n } is {−3, −1, −1, −3, 1, −3, −3, −1, −1, 3, −1, 1, −1, 3, 1, −3, −1, 3, 1, 1, −1, −1, −3, −3}, and q=16;

the sequence {s n } is {3, −1, 3, −1, 1, −3, 1, 1, −3, −3, 3, −3, −1, −1, −1, −1, −1, −3, −3, −1, 1, 1, −3, −3}, and q=18;

the sequence {s n } is {−3, 1, −3, 1, −3, −3, 1, −3, 1, −3, −3, −3, −3, −3, 1, −3, −3, 1, 1, −3, 1, 1, −3, −3}, and q=19;

the sequence {s n } is {−3, −3, 3, 3, 1, −1, −1, −1, 1, −3, −1, 1, −1, 3, −3, −1, −3, −1, −1, 1, −3, 3, −1, −3}, and q=20;

the sequence {s n } is {−3, −3, −1, −1, −1, −3, 1, −1, −3, −1, 3, −3, 1, −3, 3, −3, 3, 3, 1, −1, −1, 1, −3, −3}, and q=21;

the sequence {s n } is {−3, 1, −3, 1, −3, 1, 1, 3, 1, −3, −3, −1, 1, 3, −1, −3, 3, 1, −1, −3, −3, −3, −3, −3}, and q=29; and

the sequence {s n } is {3, −3, −1, 1, 3, −1, −1, −3, −1, 3, −1, −3, −1, −3, 3, −1, 3, 1, 1, −3, 3, −3, −3, −3}, and q=30 q=2 q=6 q=23 q=24 q=25 q=26 q=27.

2. The method of claim 1 , wherein the determining, by the apparatus based on the index v of the sequence group, a second sequence, comprises:

determining, based on the index v, the sequence {s n }, wherein the sequence {s n } defines the sequence {x n } in the sequence group; and

generating the second sequence {f n } based on the sequence {s n }.

3. The method of claim 1 , wherein the determining, by the apparatus based on the index v of the sequence group, a second sequence, comprises:

determining, based on the index v, an index of the sequence {y m } in the sequence group; and

generating the second sequence {g m } based on the index of the sequence {y m }.

4. The method of claim 1 , further comprising:

processing a received first signal based on the second sequence, wherein the second sequence is the sequence {f n }, wherein

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and the M subcarriers are consecutive subcarriers, wherein t is a positive integer; or

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the M subcarriers is t times a subcarrier spacing, wherein t is a positive integer.

5. The method of claim 1 , wherein A is a constant.

6. The method of claim 1 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on a cell identity of a cell in which a terminal device is located; or

determining the index of the sequence group based on an identity received by using higher layer signaling.

7. The method of claim 1 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on an identity of a first time unit; wherein

the uplink control information or the reference signal is received in the first time unit.

8. The method of claim 1 , wherein before determining, by an apparatus, an index v of a sequence group, the method further comprises:

sending an identity to a terminal device by using higher layer signaling, wherein the identity is used to determine the index of the sequence group.

9. An apparatus, comprising:

a storage medium including executable instructions; and

at least one processor;

wherein the executable instructions, when executed by the at least one processor, cause the apparatus to:

determine an index v of a sequence group, wherein the sequence group comprises a sequence {x n } and a sequence {y m }; and

generate, based on the index v of the sequence group, a second sequence is at least one of a second sequence {f n } or a second sequence {g m } based on the index v of the sequence group;

receive, based on the second sequence, uplink control information or a reference signal, wherein:

the sequence {x n } corresponds to the second sequence {f n }, and the sequence {y m } corresponds to the second sequence {g m }, f n is an element in the second sequence {f n }, g m is an element in the second sequence {g m }, a length of the second sequence {f n } is N, a length of the second sequence {g m } is M, n and m are integers, 0≤n≤N−1, and 0≤m≤M−1;

the element f n satisfies f n =A·x n ·e j·α·n ;

the element g m satisfies g m =A·y m ·e j·α·m ;

A is a non-zero complex number, α is a real number, and j=√{square root over (−1)};

an element x n in the sequence {x n } satisfies x n =u·e π·j·s n /4 , wherein u is a non-zero complex number, and s n is an element in a sequence {s n };

an element y m in the sequence {y m } satisfies y m =k q (m mod M prime ),

k

q

⁡

(

i

)

=

e

-

j

⁢

π

·

q

·

i

·

(

i

+

1

)

M

prime

wherein i is an integer, 0≤i≤M prime −1, M prime is a largest prime number that is smaller than M; and

when N=24 and M=36, a combination of the sequence {s n } and q is one of following combinations, wherein the following combinations belong to a combination set, and the following combinations comprise:

the sequence {s n } is {−1, −3, 3, −1, 3, 1, 3, −1, 1, −3, −1, −3, −1, 1, 3, −3, −1, −3, 3, 3, 3, −3, −3, −3}, and q=1;

the sequence {s n } is {1, −3, 3, −1, −3, −1, 3, 3, 1, −1, 1, 1, 3, −3, −1, −3, −3, −3, −1, 3, −3, −1, −3, −3}, and q=4;

the sequence {s n } is {−1, 3, −3, −3, −1, 3, −1, −1, 1, 3, 1, 3, −1, −1, −3, 1, 3, 1, −1, −3, 1, −1, −3, −3}, and q=5;

the sequence {s n } is {−3, 1, 3, −1, 1, −1, 3, −3, 3, −1, −3, −1, −3, 3, −1, −1, −1, −3, −1, −1, −3, 3, 3, −3}, and q=8;

the sequence {s n } is {−3, 1, −3, 3, −1, −1, −1, −3, 3, 1, −1, −3, −1, 1, 3, −1, 1, −1, 1, −3, −3, −3, −3, −3}, and q=9;

the sequence {s n } is {1, 1, −1, −3, −1, 1, 1, −3, 1, −1, 1, −3, 3, −3, −3, 3, −1, −3, 1, 3, −3, 1, −3, −3}, and q=10;

the sequence {s n } is {−3, −3, −3, −1, 3, −3, 3, 1, 3, 1, −3, −1, −1, −3, 1, 1, 3, 1, −1, −3, 3, 1, 3, −3}, and q=11;

the sequence {s n } is {−3, 3, −1, 3, 1, −1, −1, −1, 3, 3, 1, 1, 1, 3, 3, 1, −3, −3, −1, 1, −3, 1, 3, −3}, and q=12;

the sequence {s n } is {3, −3, 3, −1, −3, 1, 3, 1, −1, −1, −3, −1, 3, −3, 3, −1, −1, 3, 3, −3, −3, 3, −3, −3}, and q=13;

the sequence {s n } is {−3, 3, −1, 3, −1, 3, 3, 1, 1, −3, 1, 3, −3, 3, −3, −3, −1, 1, 3, −3, −1, −1, −3, −3}, and q=14;

the sequence {s n } is {−3, 1, −3, −1, −1, 3, 1, 3, −3, 1, −1, 3, 3, −1, −3, 3, −3, −1, −1, −3, −33, 3, −3}, and q=15;

the sequence {s n } is {−3, −1, −1, −3, 1, −3, −3, −1, −1, 3, −1, 1, −1, 3, 1, −3, −1, 3, 1, 1, −1, −1, −3, −3}, and q=16;

the sequence {s n } is {3, −1, 3, −1, 1, −3, 1, 1, −3, −3, 3, −3, −1, −1, −1, −1, −1, −3, −3, −1, 1, 1, −3, −3}, and q=18;

the sequence {s n } is {−3, 1, −3, 1, −3, −3, 1, −3, 1, −3, −3, −3, −3, −3, 1, −3, −3, 1, 1, −3, 1, 1, −3, −3}, and q=19;

the sequence {s n } is {−3, 3, 3, 3, 1, −1, −1, −1, 1, −3, −1, 1, −1, 3, −3, −1, −3, −1, −1, 1, −3, 3, −1, −3}, and q=20;

the sequence {s n } is {−3, 3, −1, −1, −1, −3, 1, −1, −3, −1, 3, −3, 1, −3, 3, 3, 3, 1, −1, −1, 1, −3, −3}, and q=21;

the sequence {s n } is {−3, 1, −3, 1, −3, 1, 1, 3, 1, −3, −3, −1, 1, 3, −1, −3, 3, 1, −1, −3, −3, −3, −3, −3}, and q=29; and

the sequence {s n } is {3, −3, −1, 1, 3, −1, −1, −3, −1, 3, −1, −3, −1, −3, 3, −1, 3, 1, 1, −3, 3, −3, −3, −3}, and q=30 q=2 q=6 q=23 q=24 q=25 q=26 q=27.

10. The apparatus of claim 9 , wherein the executable instructions, when executed by the at least one processor, cause the apparatus to determine, based on the index v of the sequence group, a second sequence as follows:

determining, based on the index v, the sequence {s n }, wherein the sequence {s n } defines the sequence {x n } in the sequence group; and

generating the second sequence {f n } based on the sequence {s n }.

11. The apparatus of claim 9 , wherein the executable instructions, when executed by the at least one processor, cause the apparatus to determine, based on the index v of the sequence group, a second sequence as follows:

determining, based on the index v, an index of the sequence {y m } in the sequence group; and

generating the second sequence {g m } based on the index of the sequence {y m }.

12. The apparatus of claim 9 , wherein the executable instructions, when executed by the at least one processor, further cause the apparatus to:

process a received first signal based on the second sequence, wherein the second sequence is the sequence {f n }, wherein

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and the M subcarriers are consecutive subcarriers, wherein t is a positive integer; or

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the M subcarriers is t times a subcarrier spacing, wherein t is a positive integer.

13. The apparatus of claim 9 , wherein A is a constant.

14. The apparatus of claim 9 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on a cell identity of a cell in which a terminal device is located; or

determining the index of the sequence group based on an identity received by using higher layer signaling.

15. The apparatus of claim 9 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on an identity of a first time unit; wherein

the uplink control information or the reference signal is received in the first time unit.

16. The apparatus of claim 9 , wherein the executable instructions, when executed by the at least one processor, cause the apparatus to determine, by an apparatus, an index v of a sequence group as follows:

sending an identity to a terminal device by using higher layer signaling, wherein the identity is used to determine the index of the sequence group.

17. A non-transitory computer-readable storage medium comprising instructions which, when executed by a network device, cause the network device to carry out the following:

determining an index v of a sequence group, wherein the sequence group comprises a sequence {x n } and a sequence {y m }; and

determining, based on the index v of the sequence group, a second sequence, wherein the second sequence is at least one of a second sequence {f n } or a second sequence {g m }; and

receiving, based on the second sequence, uplink control information or a reference signal, wherein:

the sequence {x n } corresponds to the second sequence {f n }, and the sequence {y m } corresponds to the second sequence {g m }, f n is an element in the second sequence {f n }, g m is an element in the second sequence {g m }, a length of the second sequence {f n } is N, a length of the second sequence {g m } is M, n and m are integers, 0≤n≤N−1, and 0≤m≤M−1;

the element f n satisfies f n =A·x n ·e j·α·n ;

the element g m satisfies g m =A·y m ·e j·α·m ;

A is a non-zero complex number, α is a real number, and j=√{square root over (−1)};

an element x n in the sequence {x n } satisfies x n =u·e π·j·s n /4 , wherein u is a non-zero complex number, and s n is an element in a sequence {s n };

an element y m in the sequence {y m } satisfies y m =k q (m mod M prime ),

k

q

⁡

(

i

)

=

e

-

j

⁢

π

·

q

·

i

·

(

i

+

1

)

M

prime

wherein i is an integer, 0≤i≤M prime −1, M prime is a largest prime number that is smaller than M; and

when N=24 and M=36, a combination of the sequence {s n } and q is one of following combinations, wherein the following combinations belong to a combination set, and the following combinations comprise:

the sequence {s n } is {−1, −3, 3, −1, 3, 1, 3, −1, 1, −3, −1, −3, −1, 1, 3, −3, −1, −3, 3, 3, 3, −3, −3, −3}, and q=1;

the sequence {s n } is {1, −3, 3, −1, −3, −1, 3, 3, 1, −1, 1, 1, 3, −3, −1, −3, −3, −3, −1, 3, −3, −1, −3, −3}, and q=4;

the sequence {s n } is {−1, 3, −3, −3, −1, 3, −1, −1, 1, 3, 1, 3, −1, −1, −3, 1, 3, 1, −1, −3, 1, −1, −3, −3}, and q=5;

the sequence {s n } is {−3, 1, 3, −1, 1, −1, 3, −3, 3, −1, −3, −1, −3, 3, −1, −1, −1, −3, −1, −1, −3, 3, 3, −3}, and q=8;

the sequence {s n } is {−3, 1, −3, 3, −1, −1, −1, −3, 3, 1, −1, −3, −1, 1, 3, −1, 1, −1, 1, −3, −3, −3, −3, −3}, and q=9;

the sequence {s n } is {1, 1, −1, −3, −1, 1, 1, −3, 1, −1, 1, −3, 3, −3, −3, 3, −1, −3, 1, 3, −3, 1, −3, −3}, and q=10;

the sequence {s n } is {−3, −3, −3, −1, 3, −3, 3, 1, 3, 1, −3, −1, −1, −3, 1, 1, 3, 1, −1, −3, 3, 1, 3, −3}, and q=11;

the sequence {s n } is {−3, 3, −1, 3, 1, −1, −1, −1, 3, 3, 1, 1, 1, 3, 3, 1, −3, −3, −1, 1, −3, 1, 3, −3}, and q=12;

the sequence {s n } is {3, −3, 3, −1, −3, 1, 3, 1, −1, −1, −3, −1, 3, −3, 3, −1, −1, 3, 3, −3, −3, 3, −3, −3}, and q=13;

the sequence {s n } is {−3, 3, −1, 3, −1, 3, 3, 1, 1, −3, 1, 3, −3, 3, −3, −3, −1, 1, 3, −3, −1, −1, −3, −3}, and q=14;

the sequence {s n } is {−3, 1, −3, −1, −1, 3, 1, 3, −3, 1, −1, 3, 3, −1, −3, 3, −3, −1, −1, −3, −3, −3, 3, −3}, and q=15;

the sequence {s n } is {−3, −1, −1, −3, 1, −3, −3, −1, −1, 3, −1, 1, −1, 3, 1, −3, −1, 3, 1, 1, −1, −1, −3, −3}, and q=16;

the sequence {s n } is {3, −1, 3, −1, 1, −3, 1, 1, −3, −3, 3, −3, −1, −1, −1, −1, −1, −3, −3, −1, 1, 1, −3, −3}, and q=18;

the sequence {s n } is {−3, 1, −3, 1, −3, −3, 1, −3, 1, −3, −3, −3, −3, −3, 1, −3, −3, 1, 1, −3, 1, 1, −3, −3}, and q=19;

the sequence {s n } is {−3, −3, 3, 3, 1, −1, −1, −1, 1, −3, −1, 1, −1, 3, −3, −1, −3, −1, −1, 1, −3, 3, −1, −3}, and q=20;

the sequence {s n } is {−3, −3, −1, −1, −1, −3, 1, −1, −3, −1, 3, −3, 1, −3, 3, −3, 3, 3, 1, −1, −1, 1, −3, −3}, and q=21;

the sequence {s n } is {−3, 1, −3, 1, −3, 1, 1, 3, 1, −3, −3, −1, 1, 3, −1, −3, 3, 1, −1, −3, −3, −3, −3, −3}, and q=29; and

the sequence {s n } is {3, −3, −1, 1, 3, −1, −1, −3, −1, 3, −1, −3, −1, −3, 3, −1, 3, 1, 1, −3, 3, −3, −3, −3}, and q=30 q=2 q=6 q=23 q=24 q=25 q=26 q=27.

18. The non-transitory computer-readable storage medium of claim 17 , wherein the determining, based on the index v of the sequence group, a second sequence, comprises:

determining, based on the index v, the sequence {s n }, wherein the sequence {s n } defines the sequence {x n } in the sequence group; and

generating the second sequence {f n } based on the sequence {s n }.

19. The non-transitory computer-readable storage medium of claim 17 , wherein the determining, based on the index v of the sequence group, a second sequence, comprises:

determining, based on the index v, an index of the sequence {y m } in the sequence group; and

generating the second sequence {g m } based on the index of the sequence {y m }.

20. The non-transitory computer-readable storage medium of claim 17 , further comprising instructions which, when executed by a network device, cause the network device to carry out the following:

processing a received first signal based on the second sequence, wherein the second sequence is the sequence {f n }, wherein

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and the M subcarriers are consecutive subcarriers, wherein t is a positive integer; or

the sequence {f n } is mapped to N subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the N subcarriers is 2t times a subcarrier spacing; or the second sequence is the sequence {g m }, the sequence {g m } is mapped to M subcarriers, and a center-frequency spacing of any two adjacent subcarriers in the M subcarriers is t times a subcarrier spacing, wherein t is a positive integer.

21. The non-transitory computer-readable storage medium of claim 17 , wherein A is a constant.

22. The non-transitory computer-readable storage medium of claim 17 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on a cell identity of a cell in which a terminal device is located; or

determining the index of the sequence group based on an identity received by using higher layer signaling.

23. The non-transitory computer-readable storage medium of claim 17 , wherein the determining, by an apparatus, an index v of a sequence group, comprises:

determining the index of the sequence group based on an identity of a first time unit; wherein

the uplink control information or the reference signal is received in the first time unit.

24. The non-transitory computer-readable storage medium of claim 17 , further comprising instructions which, when executed by a network device, cause the network device to carry out the following:

sending an identity to a terminal device by using higher layer signaling, wherein the identity is used to determine the index of the sequence group.

25. The method of claim 1 , wherein

q

=

⌊

M

prime

·

v

+

1

3

⁢

1

+

1

2

⌋

,

M prime =31.

26. The method of claim 1 , wherein the combination set further comprises:

the sequence {s n } is {−1, −3, 3, 1, 1, −3, 1, −3, −3, 1, −3, −1, −1, 3, −3, 3, 3, 3, −3, 1, 3, 3, −3, −3}, and q=2;

the sequence {s n } is {− 3 , − 1 , 1 , − 3 , − 3 , 1 , 1 , − 3 , 3 , − 1 , − 1 , − 3 , 1 , 3 , 1 , − 1 , − 3 , − 1 , − 3 , − 3 , − 3 , − 3 }, and q=6;

the sequence {s n } is {−3, 1, −3, 3, −3, 1, −3, 3, 1, −1, −3, −1, −3, −3, −3, −3, 1, 3, −1, 1, 3, 3, 3, −3}, and q=23;

the sequence {s n } is {−3, −1, 1, −3, −1, −1, 1, 1, 1, 3, 3, −1, 1, −1, 1, −1, 1, −1, −1, −3, −3, −3, 3, 1, −1, −3}, and q=24;

the sequence {s n } is {−3, 3, −1, −3, −1, −1, −1, 3, −1, −1, 3, −3, −1, 3, −3, 3, −3, 3, −3, −1, 3, 1, 1, −1, −3, −3}, and q=25;

the sequence {s n } is {−3, 1, −1, −3, −3, −1, 1, 3, −3, −1, −3, 1, 1, −1, 1, 1, 3, 3, 3, −1, 1, −1, 1, −1, −3}, and q=26; or

the sequence {s n } is {−1, 3, −1, −1, 3, 3, −1, −1, −1, 3, −1, −3, 1, 3, 1, 1, −3, −3, −3, −1, −3, −1, −3, −3}, and q=27.

27. The method of claim 1 , wherein

q

=

⌊

M

prime

·

v

+

1

3

⁢

1

+

1

2

⌋

,

M prime =31.

28. The method of claim 1 , wherein the combination set further comprises:

the sequence {s n } is {−1, −3, 3, 1, 1, −3, 1, −3, −3, 1, −3, −1, −1, 3, −3, 3, 3, 3, −3, 1, 3, 3, −3, −3}, and q=2;

the sequence {s n } is {− 3 , − 1 , 1 , − 3 , − 3 , 1 , 1 , − 3 , 3 , − 1 , − 1 , − 3 , 1 , 3 , 1 , − 1 , − 3 , − 1 , − 3 , − 3 , − 3 , − 3 }, and q=6;

the sequence {s n } is {−3, 1, −3, 3, −3, 1, −3, 3, 1, −1, −3, −1, −3, −3, −3, −3, 1, 3, −1, 1, 3, 3, 3, −3}, and q=23;

the sequence {s n } is {−3, −1, 1, −3, −1, −1, 1, 1, 1, 3, 3, −1, 1, −1, 1, −1, 1, −1, −1, −3, −3, −3, 3, 1, −1, −3}, and q=24;

the sequence {s n } is {−3, 3, −1, −3, −1, −1, −1, 3, −1, −1, 3, −3, −1, 3, −3, 3, −3, 3, −3, −1, 3, 1, 1, −1, −3, −3}, and q=25;

the sequence {s n } is {−3, 1, −1, −3, −3, −1, 1, 3, −3, −1, −3, 1, 1, −1, 1, 1, 3, 3, 3, −1, 1, −1, 1, −1, −3}, and q=26; or

the sequence {s n } is {−1, 3, −1, −1, 3, 3, −1, −1, −1, 3, −1, −3, 1, 3, 1, 1, −3, −3, −3, −1, −3, −1, −3, −3}, and q=27.