New MDS Self-Dual Codes over Large Finite Fields

2010/04/07 by Kenza Guenda, Guenda, Kenza
Computer Science · Engineering · #Coding theory and cryptography #graph theory and CDMA systems #Cooperative Communication and Network Coding

paper · pdf · doi:10.48550/arxiv.1004.1158

Abstract

We construct MDS Euclidean and Hermitian self-dual codes over large finite fields of odd and even characteristics. Our codes arise from cyclic and negacyclic duadic codes.

Related

• New MDS or near MDS self-dual codes over finite fields
• New MDS Euclidean and Hermitian self-dual codes over finite fields
• New MDS Self-dual Codes over Finite Fields of Odd Characteristic
• Construction of MDS Self-dual Codes over Finite Fields
• New MDS self-dual codes over finite fields \F_r²