Title :
A Class of Binary Linear Codes With at Most Three Weights
Author :
Heng, Ziling ; Yue, Qin
Abstract :
In this letter, we use Gauss sums of index 2 to construct a class of new binary linear codes with at most three weights. In special cases, they are optimal or near optimal codes. These codes can be used in authentication codes and secret sharing schemes.
Keywords :
Additives; Authentication; Cryptography; Hamming weight; Indexes; Linear codes; Niobium; Linear codes; linear codes; secret sharing schemes; weight distribution;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2015.2455032
