Additive Quaternary Codes Related to Exceptional Linear Quaternary Codes

被引：3
|
作者：
Bierbrauer, Jurgen [1 ]
Marcugini, Stefano [2 ]
Pambianco, Fernanda [2 ]
机构：
[1] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA
[2] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2020年 / 66卷 / 01期
关键词：
Linear codes; quaternary additive codes; projective spaces; NONEXISTENCE;
D O I：
10.1109/TIT.2019.2946635
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study additive quaternary codes whose parameters are close to those of the extended cyclic [12, 6, 6](4)-code or to the quaternary linear codes generated by the elliptic quadric in PG(3, 4) or its dual. In particular we characterize those codes in the category of additive codes and construct some additive codes whose parameters are better than those of any linear quaternary code. Our new code parameters are [22, 17.5, 4](4).
引用
收藏
页码：273 / 277
页数：5
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