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Quantum Information Processing

Quantum and LCD codes from skew constacyclic codes over a general class of non-chain rings

  • 01-07-2024
Published in:
Authors
Pradeep Rai
Bhupendra Singh
Ashok Ji Gupta
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the study of skew constacyclic codes over a general class of non-chain rings, building upon previous research on cyclic and skew-cyclic codes. It introduces methods for constructing quantum and LCD codes from these codes, highlighting the construction of many new, MDS, and better-than-existing quantum codes. Additionally, it characterizes Euclidean and Hermitian LCD codes from skew constacyclic codes, generating numerous MDS, AMDS, and BKLC codes from their Gray images. The paper concludes by emphasizing the significance of these codes in quantum systems and cryptography, making it a valuable resource for experts in the field.
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previous article Stronger variance-based unitary uncertainty relations
next article Some constructions of quantum MDS codes and EAQMDS codes from GRS codes
Title
Quantum and LCD codes from skew constacyclic codes over a general class of non-chain rings
Authors
Pradeep Rai
Bhupendra Singh
Ashok Ji Gupta
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04478-8
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