vix.ing · top · new · best · stats · spec

Hamming Weights in Irreducible Cyclic Codes

2011/08/19 by Ding, Cunsheng, Yang, Jing
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1108.3887

Abstract

Irreducible cyclic codes are an interesting type of codes and have applications in space communications. They have been studied for decades and a lot of progress has been made. The objectives of this paper are to survey and extend earlier results on the weight distributions of irreducible cyclic codes, present a divisibility theorem and develop bounds on the weights in irreducible cyclic codes.

Related