6 research outputs found

    A note on constacyclic and skew constacyclic codes over the ring Zp[u,v]/⟨u2−u,v2−v,uv−vu⟩\mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle

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    For odd prime pp, this paper studies (1+(p−2)u)(1+(p-2)u)-constacyclic codes over the ring R=Zp[u,v]/⟨u2−u,v2−v,uv−vu⟩R= \mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle. We show that the Gray images of (1+(p−2)u)(1+(p-2)u)-constacyclic codes over RR are cyclic and permutation equivalent to a quasi cyclic code over Zp\mathbb{Z}_{p}. We derive the generators for (1+(p−2)u)(1+(p-2)u)-constacyclic and principally generated (1+(p−2)u)(1+(p-2)u)-constacyclic codes over RR. Among others, we extend our results for skew (1+(p−2)u)(1+(p-2)u)-constacyclic codes over RR and exhibit the relation between skew (1+(p−2)u)(1+(p-2)u)-constacyclic codes with the other linear codes. Finally, as an application of our study, we compute several non trivial linear codes by using the Gray images of (1+(p−2)u)(1+(p-2)u)-constacyclic codes over this ring RR

    Abstracts of National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020

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    This book presents the abstracts of the papers presented to the Online National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020 (RDMPMC-2020) held on 26th and 27th August 2020 organized by the Department of Metallurgical and Materials Science in Association with the Department of Production and Industrial Engineering, National Institute of Technology Jamshedpur, Jharkhand, India. Conference Title: National Conference on Research and Developments in Material Processing, Modelling and Characterization 2020Conference Acronym: RDMPMC-2020Conference Date: 26–27 August 2020Conference Location: Online (Virtual Mode)Conference Organizer: Department of Metallurgical and Materials Engineering, National Institute of Technology JamshedpurCo-organizer: Department of Production and Industrial Engineering, National Institute of Technology Jamshedpur, Jharkhand, IndiaConference Sponsor: TEQIP-
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