A method for construction self-dual codes over Z4

作者:Yuan, Jian; Zhu, Shi Xin*; Kai, Xiao Shan
来源:Acta Electronica Sinica, 2016, 44(11): 2807-2811.
DOI:10.3969/j.issn.0372-2112.2016.11.034

摘要

A Method for Construction self-dual codes over Z4is proposed by using self-dual codes over the ring Z4 vZ4, where v2=1. A Gray map from (Z4 vZ4)nto Z42nis introduced, and some properties about self-dual codes over Z4 vZ4are given. It showns that the Gray image of a self-dual code over Z4 vZ4of length n is a self-dual code over Z4of length 2n. Further, some extremal Type I and Type Ⅱcodes over Z4are constructed.

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