DocumentCode
1049095
Title
On the Covering Structures of Two Classes of Linear Codes From Perfect Nonlinear Functions
Author
Chao Li ; Longjiang Qu ; San Ling
Author_Institution
Dept. of Math. & Syst. Sci., Nat. Univ. of Defence Technol., Changsha
Volume
55
Issue
1
fYear
2009
Firstpage
70
Lastpage
82
Abstract
In this paper, the weight distributions of two classes of linear codes based on all known explicit perfect nonlinear functions from Fqm 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.
Keywords
linear codes; nonlinear functions; codeword; linear codes; perfect nonlinear function; secret sharing scheme; weight distribution; Chaos; Cryptography; Galois fields; Laboratories; Linear code; Mathematics; Mobile communication; Access structures; covering structures; perfect nonlinear functions; weight distributions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2008.2008145
Filename
4729756
Link To Document