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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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
. |
|---|---|
| ISSN: | 0925-1022 1573-7586 |
| DOI: | 10.1007/s10623-022-01172-7 |