Work

Symplectic codes over a non-unitary ring

Year: 2025

Type: article

Abstract: In this paper, we consider the commutative non-unitary ring of order four defined as [Formula: see text] Self-orthogonal codes for a symplectic inner product over [Formula: see text] are introduced. A mass formula to enumerate them under symplectic equivalence is given. An application is a classification of such codes in short lengths.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s021949882541018x

Authors: Sarra Manseri, Rowena Alma Betty, Lucky Galvez, Patrick Solé

Institutions: Central China Normal University, University of the Philippines Diliman, Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407425389

FWCI: 0.825

Cites: 11

Cited by: 2

Related to: 10