On the Covering Structures of Two Classes of Linear Codes From Perfect Nonlinear Functions

被引：17
|
作者：
Li, Chao [1 ,2 ]
Ling, San [3 ]
Qu, Longjiang [1 ,2 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
[3] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2009年 / 55卷 / 01期
关键词：
Access structures; covering structures; perfect nonlinear functions; weight distributions; SECRET SHARING SCHEMES; MAPPINGS;
D O I：
10.1109/TIT.2008.2008145
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the weight distributions of two classes of linear codes based on all known explicit perfect nonlinear functions from F-q(m) to itself are determined using a unified approach. All the minimal codewords of these codes are characterized according to their weights, which suggests that their,covering structures are determined. Finally, all the minimal access sets of the secret sharing schemes based on their dual codes are obtained.
引用
收藏
页码：70 / 82
页数：13
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