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Designs, Codes and Cryptography
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05-11-2024

Generalized bilateral multilevel construction for constant dimension codes

Authors: Xiaoqin Hong, Xiwang Cao, Gaojun Luo

Published in: Designs, Codes and Cryptography | Issue 1/2025

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Abstract

The article introduces a novel method for constructing constant dimension codes (CDCs) with larger sizes, called the generalized bilateral multilevel construction. This construction is a generalization of the bilateral multilevel construction and is combined with existing constructions to produce CDCs with improved sizes. The article also presents new lower bounds for CDCs, highlighting the effectiveness of the proposed method in comparison to previous approaches. The research is organized into sections that recall essential notions, establish new results, and provide comparisons with known constructions, making it a valuable resource for professionals in the field of coding theory.
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previous article Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
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Metadata
Title
Generalized bilateral multilevel construction for constant dimension codes
Authors
Xiaoqin Hong
Xiwang Cao
Gaojun Luo
Publication date
05-11-2024
Publisher
Springer US
Published in
Designs, Codes and Cryptography / Issue 1/2025
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-024-01513-8

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