Decomposition Property of Binary Self-dual Codes with an Automorphism of Order 3

Wentu Song · Mianyang Shifan Xueyuan xuebao · 2007

In this paper,a decomposition property of binary self-dual codes with an automorphism of order 3 is obtained.In brief,a binary code is a self-dual with an automorphism of order 3,if and only if it is a direct sum of two linear subcodes,besides,the two linear subcodes can be regarded respectively as self-dual code on and Hermitian self-dual code on with smaller length.

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