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February 28, 2026Bulletin of the Malaysian Mathematical Sciences SocietyOpen Access

Skew Cyclic Codes Over Z₄+u Z₄+u^2 Z₄ with Derivation and New Z₄ Codes

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Authors

SŞSerap ŞAHİNKAYABCBasri CaliskanDUDeniz Ustun

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Overview

Explores skew-cyclic codes in a specific ring, indicating new quaternary codes derived from them.

Key Points

  • The aim is to investigate skew-cyclic codes over the ring R and derive new quaternary codes.
  • Examined structural properties of the skew polynomial ring R[x,θ,δθ].
  • Determined generator and parity-check matrices of free δθ-cyclic codes of even length over R.
  • Applied a Gray map to obtain Z4-images.
  • Generalized to double skew-cyclic codes.
  • Identified several structural properties of the ring R and δθ-cyclic codes.
  • Produced new quaternary linear codes from the Gray images.
  • Expanded Aydin’s codetable with the derived codes.

Cite This Study

ŞAHİNKAYA et al. (2026) studied this question.

synapsesocial.com/papers/69a286b80a974eb0d3c01de1https://doi.org/10.1007/s40840-026-02050-4
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