Self-dual codes over Z₄[x]/(x² + 2x) and the Z₄-images
by Bahattin Yildiz; Abidin Kaya
International Journal of Information and Coding Theory (IJICOT), Vol. 5, No. 2, 2018

Abstract: In this work, constructions for self-dual codes over the ring Z₄[x]/(x² + 2x) are considered together with their images under an orthogonality-preserving grey map, which result in self-dual Z4-codes. Theoretical results about the existence/non-existence of self-dual codes from construction methods such as the double circulant, bordered double circulant and four circulant matrices for the rings Z₄ and Z₄[x]/(x² + 2x) are given. The construction methods are then applied to get good self-dual Z₄-codes of lengths 16, 32, 48 and 64 (including some extremal type I and type II codes), which are tabulated at the end.

Online publication date: Fri, 28-Sep-2018

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