Work

Counting double-polycyclic codes over a finite chain ring of nilpotency index two

Year: 2025

Type: article

Abstract: In this paper, we study the algebraic structure of double-polycyclic codes over a finite chain ring $ R $ with a nilpotency index of two, defined by associated square-free polynomials. We also provide formulas for the number of separable and non-separable double-polycyclic codes. Finally, we briefly discuss the number of non-separable $ \mathbb{F}_q R $-polycyclic codes, where $ \mathbb{F}_q $ is the residue field of $ R $.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2025013

Authors: Sarra Talbi, Alexandre Fotue Tabue, Meenakshi Devi

Institutions: Sol Plaatje University, Université de Bertoua

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409207732

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Cites: 11

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Related to: 10