Two methods of constructing optimum distance flag codes

In this paper, we provide two construction methods for optimum distance flag codes via linear codes over finite fields. The first one is derived from constacyclic codes over finite fields. The second construction is derived from the Generalized Reed-Solomon codes over finite fields. Moreover, we provide four examples to illustrate the two construction methods for optimum distance flag codes.

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Publication Details

Journal
Advances in Mathematics of Communications
Published
2025-09-23
DOI
https://doi.org/10.3934/amc.2025045
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Two methods of constructing optimum distance flag codes

Advances in Mathematics of Communications
Geochemistry and Geologic Mapping
article

Two methods of constructing optimum distance flag codes

article en

Abstract

In this paper, we provide two construction methods for optimum distance flag codes via linear codes over finite fields. The first one is derived from constacyclic codes over finite fields. The second construction is derived from the Generalized Reed-Solomon codes over finite fields. Moreover, we provide four examples to illustrate the two construction methods for optimum distance flag codes.

Advances in Mathematics of CommunicationsVol. 21(0)
Hubei University of Arts and Science (CN)
Openalex Percentile: Top 30%
Geochemistry and Geologic Mapping
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Two methods of constructing optimum distance flag codes · Advances in Mathematics of Communications (2025) | TGRS Research Map | TGRS