Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes
We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length 12...
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| Veröffentlicht in: | Designs, codes, and cryptography codes, and cryptography, 2023-05, Vol.91 (5), p.1813-1843 |
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| container_title | Designs, codes, and cryptography |
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| creator | Araya, Makoto Harada, Masaaki |
| description | We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length 12
m
for
m
=
3
,
4
,
5
,
6
. Also we consider the weight enumerators for which there is a quaternary near-extremal Hermitian self-dual code of length 6
m
for
m
=
4
,
5
,
6
. |
| doi_str_mv | 10.1007/s10623-022-01172-7 |
| format | Article |
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,
5
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| ispartof | Designs, codes, and cryptography, 2023-05, Vol.91 (5), p.1813-1843 |
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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Coding and Information Theory Computer Science Cryptology Discrete Mathematics in Computer Science |
| title | Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes |
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