SELF-DUAL CODES WITH LARGER LENGTHS OVER Z_25

Authors

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.

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

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Main Subjects