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On quantum and LCD Codes Over The Ring

  • 01-09-2022
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Abstract

The article delves into the intricacies of quantum and LCD codes over a finite non-chain ring, presenting a novel Gray map that enables the discovery of superior quantum codes. It also explores the structure and properties of cyclic codes over this ring, providing methods to construct optimal and near-optimal LCD codes. Through detailed examples and comparisons with existing databases, the article showcases the effectiveness of the proposed methods in advancing the field of quantum information theory and coding theory.

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Title
On quantum and LCD Codes Over The Ring
Authors
S. Ali
G. Mohammad
Jeelani
N. Khan
P. Sharma
Publication date
01-09-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03654-y
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