Cyclic Codes over F2+ uF2+ vF2English Full Text
LIU Xiu-sheng;LIU Hua-lu;School of Mathematics and Physics, Hubei Polytechnic University;
Abstract: We study the structure of cyclic codes of an arbitrary length n over the ring F2+ uF2+ vF2, which is not a finite chain ring. We prove that the Gray image of a cyclic code length n over F2+ uF2+ vF2 is a 3-quasi-cyclic code length 3n over F2.
Keywords:
- DOI:
10.13371/j.cnki.chin.q.j.m.2014.02.005
- Series:
- Subject:
- Classification Code:
O153.3
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