Skew Cyclic Codes Of Arbitrary Length Over R=Fp[v]/(v^2^k -1)

Document Type : Research Articles


Faculty of Mathematics, Tarbiat Modares University, tehran, iran


In thise paper we study an special type of Cyclic Codes called skew
Cyclic codes over the ring R=Fp[v]/(v^2^k-1) where is a prime number. This sets
Of codes are the result of module (or ring) structure of the skew polynomial ring
R=[x,Q] where v^2^k=1 and Q is an Fp automorphism such that Q(v)=v^2^k-1.
We show that when n is even these codes are principal and if n is odd these code
Look like a module and proof some properties.