A note on Quasi-Cyclic codes over Zpm

Abstract

Modulo p^(m)상에서의 codes에 관해서는 P.Kanware and S.R.Lopez-Permouth의해 연구가 되어졌고, Z_(4)상에서의 cyclic codes에 대해서는 N.Aydin and D.K.Ray-Chaudhuri에 의해서 연구가 되어졌다. 이 논문에서는 N.Aydin and D.K.Ray-Chaudhuri의 Quasi-cyclic Z_(4)-codes를 Quasi-cyclic Z_(p^(r))-code로 일반화시켜 보았다. 좀 더 일반화된 경우에 대해서는, 예를 통해 살펴보았다;Codes over the integers modulo p^(m) were studied by P.Kanware and S.R.Lopez-Permouth. Cyclic code over Z_(4) was studied by Nuh Aydin and Dijen K.Ray-Chaudhuri.In this thesis, we generalize the results of N.Aydin and D.K.Ray-Chaudhuri for Quasi-cyclic Z_(4)-codes to Quasi-cyclic Z_(p^(r))-codes. For more gen-eral cases, we give some examples.