New extremal binary self-dual codes of length 64 from -lifts of the extended binary Hamming code

被引：0
作者：
Karadeniz, Suat [1 ]
Yildiz, Bahattin [1 ]
机构：
[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 74卷 / 03期
关键词：
Lee weight; Gray maps; Extremal self-dual codes; Projections; Lifts; Codes over rings; DOUBLE-CIRCULANT; CONSTRUCTIONS;
D O I：
10.1007/s10623-013-9884-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we use the graded ring construction to lift the extended binary Hamming code of length 8 to . Using this method we construct self-dual codes over of length 8 whose Gray images are self-dual binary codes of length 64. In this way, we obtain twenty six non-equivalent extremal binary Type I self-dual codes of length 64, ten of which have weight enumerators that were not previously known to exist. The new codes that we found have and 52 in and they all have automorphism groups of size 8.
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收藏
页码：673 / 680
页数：8
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