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April 7, 2026EntropyOpen Access

Quantum Codes from Galois Hulls of Constacyclic Codes over a Finite Non-Chain Ring

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Authors

EZEnbin ZhangBKBo KongXZXiying Zheng

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Overview

Determines dimensions of l-Galois hull of constacyclic codes, suggesting new quantum error-correcting codes.

Key Points

  • The research aims to explore constacyclic codes over a non-chain ring and develop quantum codes based on their Galois structures.
  • Investigated constacyclic codes over a new finite non-chain ring R
  • Developed l-Galois dual codes using a new Gray map
  • Calculated dimensions of l-Galois hull for these codes
  • Proposed a quantum construction combining CSS and Hermitian methods
  • Identified new quantum maximum distance separable (QMDS) codes
  • Obtained new quantum error-correcting codes (QECCs) surpassing existing ones
  • Provided insights on the algebraic structures of constacyclic codes

Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/69d49fa9b33cc4c35a2281fbhttps://doi.org/10.3390/e28040407
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