Affiliation of Author(s):理学院

Journal:DISCRETE APPLIED MATHEMATICS

Key Words:Linear code Griesmer bound Two-weight code

Abstract:In this paper, we construct a class of linear codes over the local ring R = F-q + uF(q) and determine the Lee distribution by employing character sums. Using the Gray map, we obtain a class of linear codes with two weights over F-q. These linear codes are proved to be optimal with respect to the Griesmer bound. Notably, the parameters of these linear codes are flexible and new. As an application, we employ these linear codes to construct association schemes. (C) 2017 Elsevier B.V. All rights reserved.

ISSN No.:0166-218X

Translation or Not:no

Date of Publication:2018-03-11

Co-author:Luo, Gaojun,Xu, Guangkui,Xu, Shanding

Correspondence Author:cxw