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- [41] Generators of negacyclic codes over Fp[u,v]/⟨u2,v2,uv,vu⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_{p}[u,v]/\langle u^2,v^2,uv,vu\rangle $$\end{document} of length ps\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p^s$$\end{document}Computational and Applied Mathematics, 2024, 43 (5)Hyun Seung ChoiBoran Kim
- [42] On quantum and LCD codes from the cyclic codes over the ring Fq[u,v,w]/⟨u3-u,v2-v,w2-w,uv,vu,uw,wu,vw-wv⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_q[\textsf{u}, \textsf{v},\textsf{w}]/\langle \textsf{u}^3-\textsf{u},\textsf{v}^2-\textsf{v}, \textsf{w}^2-\textsf{w}, \textsf{u}\textsf{v}, \textsf{v}\textsf{u}, \textsf{u}\textsf{w}, \textsf{w}\textsf{u}, \textsf{v}\textsf{w}-\textsf{w}\textsf{v} \rangle $$\end{document}Journal of Applied Mathematics and Computing, 2024, 70 (2) : 1241 - 1262Pradeep RaiBhupendra SinghAshok Ji Gupta
- [43] Self-dual constacyclic codes of length 2s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^s$$\end{document} over the ring F2m[u,v]/⟨u2,v2,uv-vu⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_{2^m}[u,v]/\langle u^2, v^2, uv-vu \rangle $$\end{document}Journal of Applied Mathematics and Computing, 2022, 68 (1) : 431 - 459Hai Q. DinhPramod Kumar KewatSarika KushwahaWoraphon Yamaka
- [44] Construction of quantum codes from λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}-constacyclic codes over the ring Fp[u,v]⟨v3-v,u3-u,uv-vu⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{\mathbb {F}_p[u,v]}{\langle v^3-v , u^3-u , uv-vu\rangle }$$\end{document}Journal of Applied Mathematics and Computing, 2021, 65 (1-2) : 611 - 622Karthick GowdhamanCruz MohanDurairajan ChinnapillaiJian Gao
- [45] Cyclic DNA codes over the ring F2+uF2+vF2+uvF2+v2F2+uv2F2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2+v^2\mathbb {F}_2+uv^2\mathbb {F}_2$$\end{document}Designs, Codes and Cryptography, 2018, 86 (7) : 1451 - 1467Hai Q. DinhAbhay Kumar SinghSukhamoy PattanayakSongsak Sriboonchitta
- [46] Some new binary quasi-cyclic codes from codes over the ring F2+uF2+vF2+uvF2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb F _2+u\mathbb F _2+v\mathbb F _2+uv\mathbb F _2$$\end{document}Applicable Algebra in Engineering, Communication and Computing, 2013, 24 (5) : 355 - 367Nuh AydinSuat KaradenizBahattin Yildiz
- [47] Cyclic codes over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb{F}}_2+u{\mathbb{F}}_2+v{\mathbb{F}}_2+uv{\mathbb{F}}_2}$$\end{document}Designs, Codes and Cryptography, 2011, 58 (3) : 221 - 234Bahattin YildizSuat Karadeniz
- [48] A Note on Constacyclic and Quasi-cyclic Codes over F2+uF2+vF2+uvF2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_2+u{\mathbb {F}}_2+v{\mathbb {F}}_2+uv{\mathbb {F}}_2$$\end{document}Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 (6) : 3453 - 3474B SrinivasuluRama Krishna BandiMaheshanand Bhaintwal
- [49] Cyclic DNA codes over F2+uF2+vF2+uvF2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$\end{document} and their applicationsJournal of Applied Mathematics and Computing, 2017, 55 : 479 - 493Shixin ZhuXiaojing Chen