Affiliation of Author(s):理学院
Journal:CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
Key Words:Linear code Niho exponent Secret sharing scheme Weight distribution Strongly regular graph
Abstract:Linear codes with few weights have applications in secret sharing, authentication codes, association schemes, date storage systems, strongly regular graphs and some other fields. In this paper, we present several classes of binary linear codes with two or three weights and study their weight distributions. Two classes of strongly regular graphs are constructed from binary linear codes with two weights. Numerical results show that some of the obtained codes are either optimal or near optimal with respect to certain bounds on linear codes.
ISSN No.:1936-2447
Translation or Not:no
Date of Publication:2018-03-01
Co-author:Luo, Gaojun,Xu, Shanding,Mi, Jiafu
Correspondence Author:Luo, Gaojun,曹喜望,cxw
Professor
Supervisor of Doctorate Candidates
Gender:Male
Education Level:北京大学
Degree:Doctoral Degree in Science
School/Department:College of Science
Discipline:Basic Mathematics. Applied Mathematics. Mathematics
Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm
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