Affiliation of Author(s):理学院

Journal:DISCRETE MATHEMATICS

Key Words:Linear code Strongly regular graph q-polynomial Niho exponent Weight distribution

Abstract:Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, data storage systems, strongly regular graphs and some other fields. Two-weight linear codes are particularly interesting since they are closely related to finite geometry, combinatorial designs, graph theory. In this paper, we present a new approach to constructing linear codes with two or three weights from q-polynomials and study their weight distributions. As an application of two-weight linear codes, we obtain three families of strongly regular graphs. Some of the presented strongly regular graphs are new. (C) 2017 Elsevier B.V. All rights reserved.

ISSN No.:0012-365X

Translation or Not:no

Date of Publication:2017-09-01

Co-author:Luo, Gaojun

Correspondence Author:cxw