SELF-DUAL CODES WITH LARGER LENGTHS OVER  Z_25

Alimoradi, Mohammad Reza; Ahmadi, Bahram

doi:10.22055/jamm.2025.46690.2275

SELF-DUAL CODES WITH LARGER LENGTHS OVER Z_25

Authors

Mohammad Reza Alimoradi ¹
Bahram Ahmadi ²

¹ Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer universiity, Malayer, Iran.

² Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.

10.22055/jamm.2025.46690.2275

Abstract

In this study, new definitions of the Gray weight and the Gray map for linear codes over R = Z_25 +uZ_25; where u^2 = u is defined. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Also two self-dual codes with parameters [22; 11; 6]; [24; 12; 8]; over Z_25 are obtained

Keywords