Title of article :
Constacyclic Codes of Arbitrary Length over Fq+uFq+⋯+ue−1Fq
Author/Authors :
Beygi, Marziyeh Department of Mathematics - College of Sciences - Shiraz University, Shiraz, Iran , Namazi, Shohreh Department of Mathematics - College of Sciences - Shiraz University, Shiraz, Iran , Sharif, Habib Department of Mathematics - College of Sciences - Shiraz University, Shiraz, Iran
Abstract :
In this article, we shall study the structure of (a+bu)−constacyclic codes of arbitrary length over the ring
R=Fq+uFq+⋯+ue−1Fq, where ue=0, q is a power of a prime number p and a,b are non-zero elements of Fq. Also we shall find a minimal spanning set for these codes. %, and completely determine the structure of these codes. For a constacyclic code C we shall determine its minimum Hamming distance with some properties of Tor(C) as an a−constacyclic code over Fq.
Keywords :
Linear code , minimum Hamming distance , minimal spanning set , constacyclic code
Journal title :
Astroparticle Physics
