SELF-DUAL CODES WITH LARGER LENGTHS OVER Z۲۵

In this study, new definitions of the Gray weight and the Gray map for linear codes over R = Z_۲۵ +uZ_۲۵; where u^۲ = 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 [۲۲; ۱۱; ۶]; [۲۴; ۱۲; ۸]; over Z_۲۵ are obtained

کلیدواژه ها:

Gray weight ، Self-dual codes ، Quadratic residue codes