2017/10/21 by Habibul Islam, Om Prakash, Islam, Habibul +1
Computer Science · Medicine · Social Sciences · #94B05 #94B15 #94B60 #Cancer Mechanisms and Therapy #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Islamic Finance and Communication
paper · pdf · doi:10.48550/arxiv.1710.07785
openalex publication_date 2017/10/21 · openalex created_date 2019/05/03 · openalex updated_date 2026/07/28
In this note, we study skew cyclic and skew constacyclic codes over the ring R=Fq+uFq+vFq+uvFq where q=pm, p is an odd prime, u2=u,~v2=v,~uv=vu. We show that Gray images of a skew cyclic and skew α-constacyclic code of length n are skew quasi-cyclic code of length 4n over Fq of index 4. Also, it is shown that skew α-constacyclic codes are either equivalent to α-constacyclic codes or α-quasi-twisted codes over R. Further, structural properties, specially, generating polynomials and idempotent generators for skew cyclic and skew constacyclic codes are determined by decomposition method.