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.
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页码：1813 / 1843
页数：31
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