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Two methods of constructing optimum distance flag codes

Year: 2025

Type: article

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.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2025045

Authors: Peng Xu, Xiusheng Liu

Institutions: Hubei Normal University, College of Arts and Science of Hubei Normal University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7082974859

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Cites: 21

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