Title :
Weight Distribution of a Class of Cyclic Codes With Arbitrary Number of Zeros
Author :
Jing Yang ; Maosheng Xiong ; Cunsheng Ding ; Jinquan Luo
Author_Institution :
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
Abstract :
Cyclic codes have been widely used in digital communication systems and consumer electronics as they have efficient encoding and decoding algorithms. The weight distribution of cyclic codes has been an important topic of study for many years. It is in general hard to determine the weight distribution of linear codes. In this paper, a class of cyclic codes with any number of zeros is described and their weight distributions are determined.
Keywords :
cyclic codes; decoding; encoding; linear codes; arbitrary number; consumer electronics; cyclic codes; decoding algorithms; digital communication systems; encoding algorithms; linear codes; weight distribution; zeros; Additives; Educational institutions; Generators; Indexes; Laboratories; Linear codes; Polynomials; Cyclic codes; Gaussian periods; linear codes; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2266731
