The build up construction for codes over a non-commutative non-unitary ring of order $ 9

• Published in: AIMS mathematics Vol. 9; no. 7; pp. 18278 - 18307
• Main Authors: Alahmadi, Adel, Alihia, Tamador, Solé, Patrick
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2024
• Subjects: build-up construction; Information Theory; Mathematics; non-unitary rings; self-dual codes; self-dual codes; non-unitary rings; build-up construction

The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order four to generate quasi self-dual codes. In the present paper we introduce three such propagation rules to generate...