Constacyclic codes over F_q + u F_q + v F_q + u v F_q

2015/07/11 by Joël Kaboré, Kaboré, Joël, M. E. Charkani +1 · 1 citation
Computer Science · Social Sciences · #Cellular Automata and Applications #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Islamic Finance and Communication

paper · pdf · doi:10.48550/arxiv.1507.03084

openalex publication_date 2015/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let q be a prime power and F_q be a finite field. In this paper, we study constacyclic codes over the ring F_q+ u F_q +v F_q+ u v F_q, where u²=u, v²=v and uv=vu. We characterized the generator polynomials of constacyclic codes and their duals using some decomposition of this ring. We also define a gray map and characterize the Gray images of self-dual cyclic codes over F_q+uF_q+vF_q+uvF_q.

Cited by

• Characterization of the skew cyclic codes over Fp+vFp

Related

• (1-2u²)-constacyclic codes over \mathbbF_p+u\mathbbF_p+u²\mathbbF_p
• Constacyclic Codes over F_p+vF_p
• Skew-constacyclic codes over \frac\mathbbF_q[v]⟨ v^q-v ⟩
• On a class of (δ+αu²)-constacyclic codes over \mathbbF_q[u]/⟨ u⁴⟩
• (1-2u^k)-constacyclic codes over \mathbbF_p+u\mathbbF_p+u²\mathbbF₊u³\mathbbF_p+…+u^k\mathbbF_p