Distribution of trace values and two-weight, self-orthogonal codes over GF(p, 2)

被引：0
|
作者：
Pinnawala, N. [1 ]
Rao, A. [1 ]
Gulliver, T. A. [2 ]
机构：
[1] RMIT Univ, Sch Math & Geospatial Sci, GPO Box 2476V, Melbourne, Vic 3001, Australia
[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada
来源：
APPLIED ALGEBRA, ALGEBRAIC ALGORITHMS AND ERROR-CORRECTING CODES, PROCEEDINGS | 2007年 / 4851卷
关键词：
trace map; self-orthogonal; non-binary; two-weight; Galois fields;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the distribution of the trace map with the argument ax(2) over the Galois field GF(p,2). We then use this distribution to construct two-weight, self-orthogonal, trace codes.
引用
收藏
页码：311 / +
页数：2
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