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The weight distribution of a family of p-ary cyclic codes.

Authors :
Zheng, Dabin
Wang, Xiaoqiang
Zeng, Xiangyong
Hu, Lei
Source :
Designs, Codes & Cryptography; May2015, Vol. 75 Issue 2, p263-275, 13p
Publication Year :
2015

Abstract

Let p be an odd prime, and m and k be two positive integers with m/gcd(m,k) being odd. This paper determines the weight distribution of a family of p-ary cyclic codes over F<subscript>p</subscript> whose duals have three zeros α<superscript>-2</superscript>, α<superscript>-(p{2k+1)</superscript> and α<superscript>-(p4k+1)</superscript>, where α is a primitive element of F<subscript>p</subscript>m. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09251022
Volume :
75
Issue :
2
Database :
Complementary Index
Journal :
Designs, Codes & Cryptography
Publication Type :
Academic Journal
Accession number :
101761974
Full Text :
https://doi.org/10.1007/s10623-013-9908-2