Cyclic Codes with Complementary Duals over Fp + vFp

ZHANG Guang-hui, LIU Qing-qing

doi:10.13371/j.cnki.chin.q.j.m.2016.02.002

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 2: 118 - 124

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.002

Cyclic Codes with Complementary Duals over F_p + vF_p

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School of Mathematical Sciences,Luoyang Normal University

ZHANG Guang-hui(1973-), male, native of Yexian, Henan, an associate professor of Luoyang Normal University, Ph.D., engages in classical error-correcting codes, codes over rings and quantum errorcorrecting codes; LIU Qing-qing(1978-), female, native of Luoyang, Henan, an associate professor of Luoyang Normal University, M.S.D., engages in applications of computer and software.

Received date: 2014-02-21

Online published: 2020-11-05

Supported by

Supported by the Science and Technology Development Program of Henan Province in 2016(162102410052)； Supported by the Natural Science Foundation from the Educational Department of Henan Province(14B110004,2013-JSJYYB-063)；

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Abstract

In this paper,we characterize the necessary and sufficient conditions for a cyclic code of length n over F_p+ vF_pto be an LCD code,where p is an odd prime.

Key words： cyclic codes; LCD codes

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ZHANG Guang-hui, LIU Qing-qing . Cyclic Codes with Complementary Duals over F_p + vF_p[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(2) : 118 -124 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.002

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