Title :
A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
Author :
Kelan Ding ; Cunsheng Ding
Author_Institution :
State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China
Abstract :
In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, and strongly regular graphs, in addition to their applications in consumer electronics, communication and data storage systems.
Keywords :
Galois fields; linear codes; GF; association scheme; authentication code; communication system; consumer electronics; data storage; secret sharing; three-weight linear code; two-weight linear code; Additives; Authentication; Consumer electronics; Cryptography; Data storage systems; Generators; Linear codes; Association schemes; authentication codes; linear codes; secret sharing schemes; strongly regular graphs;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2473861
