Double Cyclic and Quantum Codes

G. Shashirekha; G. R. Vadiraja Bhatta

doi:10.5269/bspm.78664

Double Cyclic and Quantum Codes

G. Shashirekha
, G. R. Vadiraja Bhatta^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we explore the structure of (formula presented)-additive codes, where (formula presented) and their generalization to double cyclic codes. We establish the algebraic framework for these codes over the ring (formula presented) and its extensions. Additionally, we provide explicit generators for double cyclic codes and define the Gray map to derive corresponding binary linear codes and quantum codes. Finally, we present an example illustrating the construction of a binary linear code.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	44
Issue number	11
DOIs	https://doi.org/10.5269/bspm.78664
Publication status	Published - 15-03-2026

All Science Journal Classification (ASJC) codes

General Mathematics

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10.5269/bspm.78664

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Double Cyclic and Quantum Codes

Abstract

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