journal-of-discrete-mathematical-sciences-and-cryptography

Journal of Discrete Mathematical Sciences and Cryptography

2169-0065 0972-0529

Taru Publications

10.47974/JDMSC-2187

On LCP and checkable group codes over finite non-commutative Frobenius rings

Bhowmick

Sanjit

Department of Mathematics, Indraprastha Institute of Information Technology Delhi, New Delhi, India Cruz

Javier de la

Departamento de Matemáticas, Universidad del Norte, Barranquilla, Colombia Martınez-Moro

Edgar

Institute of Mathematics, University of Valladolid, Castilla, Spain Sharma

Anuradha

Department of Mathematics, Indraprastha Institute of Information Technology Delhi, New Delhi, India

28 3 891 905

11 04 2025

We provide a simple proof for a complementary pair of group codes over a finite non-commutative Frobenius ring of the fact that one of them is equivalent to the other one. We also explore this fact for checkeable codes over the same type of alphabet.

Group codes Non-commutative Frobenius ring

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