Title :
Binary Linear Codes With Two Weights
Author :
Qiuyan Wang ; Kelan Ding ; Rui Xue
Author_Institution :
State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China
Abstract :
Linear codes have wide applications in secret sharing schemes and authentication codes. In this letter, a class of binary linear codes with two weights is presented. The weight distribution of this class of binary linear codes is settled. The dual codes are also studied and proved to be optimal or almost optimal.
Keywords :
binary codes; linear codes; authentication codes; binary linear codes; dual codes; secret sharing schemes; Additives; Authentication; Companies; Cryptography; Hamming weight; Linear codes; Niobium; Authentication codes; linear codes; secret sharing schemes; weight distribution;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2015.2431253