Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

被引：7

作者：

Araya, Makoto ^{[1
]}

Harada, Masaaki ^{[2
]}

机构：

[1] Shizuoka Univ, Dept Comp Sci, Hamamatsu 4328011, Japan

[2] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai 9808579, Japan

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2023年 / 91卷 / 05期

关键词：

Self-dual code; Weight enumerator; t-design; Near-extremal ternary self-dual code; Near-extremal quaternary Hermitian self-dual code; LENGTH; CLASSIFICATION; NONEXISTENCE;

D O I：

10.1007/s10623-022-01172-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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 12m 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 6m for m= 4, 5, 6.

引用

页码：1813 / 1843

页数：31

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