Affiliation of Author(s):理学院

Journal:Cryptography Commun.

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 propose five classes of two-Lee-weight codes over the ring Fq+ uFq. By the Gray map, we obtain five classes of linear codes with two weights over Fq and these linear codes are optimal with respect to the Griesmer bound. As applications, we can employ these linear codes to construct secret sharing schemes with nice access structures. © 2017, Springer Science+Business Media, LLC, part of Springer Nature.

ISSN No.:1936-2447

Translation or Not:no

Date of Publication:2018-11-01

Co-author:Luo, Gaojun

Correspondence Author:cxw