A note on complete classification of (δ+αu²)-constacyclic codes of length p^k over \F_p^m+u\F_p^m+u²\F_p^m

2017/02/15 by R. Sobhani, Zhonghua Sun, Sobhani, Reza +4
Computer Science · Engineering · #Cellular Automata and Applications #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1702.04694

openalex publication_date 2017/02/15 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

Abstract

For units δ and α in \F_p^m, the structure of (δ+αu²)-constacyclic codes of length p^k over \mathbbF_p^m+u\mathbbF_p^m+u²\mathbbF_p^m is studied and self-dual (δ+αu²)-constacyclic codes are analyzed.

Related

• On (α+uβ)-constacyclic codes of length p^sn over \mathbbF_p^m+u\mathbbF_p^m
• Constacyclic codes of length p^sn over \mathbbF_p^m+u\mathbbF_p^m
• Repeated Root Constacyclic Codes of Length mp^s over \mathbbF_p^r+u \mathbbF_p^r+...+ u^e-1\mathbbF_p^r
• A class of repeated-root constacyclic codes over \mathbbF_p^m[u]/⟨ u^e⟩ of Type 2
• Classification of Self-Dual Constacyclic Codes of Prime Power Length p^s Over \frac\mathbbF_p^m[u]⟨ u³⟩