Malaysian Journal of Mathematical Sciences, September 2020, Vol. 14, No. 3
Decomposition of Self-dual Codes Over a Commutative Non-Chain Ring
Ankur and Kewat, P. K.
Corresponding Email: ankuriitm@am.ism.ac.in
Received date: 23 February 2019
Accepted date: 20 May 2020
Abstract:
We discuss the theory of the decomposition of self-dual codes over the ring \(R_{u,v}=\mathbb{F}_{2}+u\mathbb{F}_{2}+v\mathbb{F}_{2}+uv\mathbb{F}_{2}\), \(u^{2}=0\), \(v^{2}=0\), \(uv=vu\). We also
discuss about the equivalence of these self-dual codes theoretically.
Keywords: Self-dual codes, gray map, decomposition of codes, equivalence of self-dual codes, automorphism group
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