Title :
Evaluation of the Weight Distribution of a Class of Cyclic Codes Based on Index 2 Gauss Sums
Author :
Tao Feng ; Momihara, Koji
Author_Institution :
Dept. of Math., Zhejiang Univ., Hangzhou, China
Abstract :
The duals of cyclic codes with two zeros have been extensively studied, and their weight distributions have recently been evaluated in some cases. In this paper, we determine the weight distribution of a certain new class of such codes by computations involving index 2 Gauss sums.
Keywords :
cyclic codes; cyclic codes; index 2 Gauss sums; weight distribution; Additives; Educational institutions; Galois fields; Indexes; Information theory; Polynomials; Cyclic code; index 2 Gauss sum; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2259538