On the Intersection of Binary Linear Codes

被引：0

作者：

Liao Dajian ^{[1
]}

Liu Zihui ^{[2
]}

机构：

[1] Huaihai Inst Technol, Coll Sci, Lianyungang 222005, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2016年 / 29卷 / 03期

基金：

美国国家科学基金会;

关键词：

Minimal access structure; minimal codeword; separating property; trellis complexity; two-weight code; value function; SCHEMES; WEIGHTS;

D O I：

10.1007/s11424-015-4123-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a binary linear code, a new relation between the intersection and (2, 2)-separating property is addressed, and a relation between the intersection and the trellis complexity is also given. Using above relations, the authors will apply several classes of binary codes to secret sharing scheme and determine their trellis complexity and separating properties. The authors also present the properties of the intersection of certain kinds of two-weight binary codes. By using the concept of value function, the intersecting properties of general binary codes are described.

引用

页码：814 / 824

页数：11

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