Title :
Binary Linear Codes With Three Weights
Author :
Kelan Ding ; Cunsheng Ding
Author_Institution :
Inst. of Inf. Eng., Beijing, China
Abstract :
In this paper, a class of binary three-weight linear codes is constructed. Their dual codes are also studied. The dual codes are either optimal or almost optimal. These codes have applications in authentication codes, secret sharing schemes, and association schemes, in addition to their applications in consumer electronics and communication and data storage systems.
Keywords :
binary codes; linear codes; association schemes; authentication codes; binary linear codes; communication systems; consumer electronics; data storage systems; dual codes; secret sharing schemes; Additives; Authentication; Binary codes; Cryptography; Equations; Linear codes; Niobium; Association schemes; authentication codes; linear codes; permutation polynomial; secret sharing schemes;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2014.2361516
