Constacyclic Codes With Best-Known Parameters

Συγγραφείς: Chen, Z., Sha, M.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 72(7):4837-4849 Jul, 2026

Infinite families of constacyclic codes supporting 3-designs

Συγγραφείς: Hu, Hongsheng^Aff1, Li, Nian^Aff2, Wu, Yanan^{Aff3, Aff4, IDs10623026019418_cor1}, Zeng, Xiangyong^Aff1

Πηγή: Designs, Codes and Cryptography: An International Journal. 94(9)

On the b-Symbol Distances of Matrix Product Codes, Constacyclic Codes, and Reed-Muller Codes

Συγγραφείς: Pan, X., Ling, S., Liu, H., Chen, B.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 71(1):287-296 Jan, 2025

Two Classes of Constacyclic Codes With a Square-Root-Like Lower Bound

Συγγραφείς: Chen, T., Sun, Z., Xie, C., Chen, H., Ding, C.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 70(12):8734-8745 Dec, 2024

Gray functions and self-orthogonal codes on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$GF(2^d)[X,Y,Z]/\langle X^2, Y^2, YZ, XZ, Z^2-XY\rangle $$\end{document}

Συγγραφείς: Álvarez-García, Cain^{Aff1, IDs0020002600733w_cor1}, Castillo-Guillén, Carlos Alberto^Aff2, Badaoui, Mohamed^Aff2, Robles-García, Jaime^Aff2

Πηγή: Applicable Algebra in Engineering, Communication and Computing. :1-28

Skew constacyclic codes of length \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} over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_{p^m}+u\mathbb {F}_{p^m}+u^2\mathbb {F}_{p^m}$$\end{document}

Συγγραφείς: Hesari, Roghaye Mohammadi^Aff1, Samei, Karim^{Aff1, IDs4099502501896w_cor1}

Πηγή: Iranian Journal of Science. 50(1):265-278

Projective Essential Idempotents

Συγγραφείς: DUARTEDASILVA, A.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 70(8):5566-5572 Aug, 2024

New constructions of optimal symbol-pair constacyclic codes of length 4ps\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4p^s$$\end{document}

Συγγραφείς: Alofi, Amal H.^Aff1, Dinh, Hai Q.^Aff2, Nguyen, Bac T.^Aff3, Tran, Nghia T. H.^Aff4, Ha, Hieu V.^{Aff5, Aff6, IDs10623026018051_cor1}

Πηγή: Designs, Codes and Cryptography: An International Journal. 94(5)

Galois LCD subspace codes

Συγγραφείς: Liu, Jie^Aff1, Hu, Peng^Aff2, Liu, Xiusheng^{Aff3, IDs10623025017078_cor1}

Πηγή: Designs, Codes and Cryptography: An International Journal. 93(11):4911-4923

Constacyclic codes over Z2[u]/⟨u2⟩×Z2[u]/⟨u3⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb {Z}}_2[u]}/{\langle u^2\rangle }\times {{\mathbb {Z}}_2[u]}/{\langle u^3\rangle }$$\end{document} and the MacWilliams identities

Συγγραφείς: Sagar, Vidya^{Aff1, IDs00200024006626_cor1}, Yadav, Ankit^Aff1, Sarma, Ritumoni^Aff1

Πηγή: Applicable Algebra in Engineering, Communication and Computing. 36(6):1295-1324

Construction of Hermitian self-dual constacyclic codes with square-root-like lower bounds on the minimum distances

Συγγραφείς: Ma, Qian, Kai, Xiaoshan ^⁎, Zhu, Shixin

Πηγή: In Discrete Mathematics September 2026 349(9)

Constacyclic codes over general mixed alphabets and their applications

Συγγραφείς: Shakir Ali, Nuh Aydin, Pushpendra Sharma, Elif Segah Oztas, Atif Ahmad Khan

Συνεισφορές: Karamanoglu Mehmetbey University Institutional Repository

Πηγή: Designs, Codes and Cryptography. 93:3733-3760

Θεματικοί όροι: Gray Map, Quantum Codes, Constacyclic Code, Central Primitive İdempotents, Digital Arithmetic

Περιγραφή αρχείου: application/pdf

The Additive constacyclic codes and the MacWilliams identities over mixed alphabets: MacWilliams identities of additive constacyclic codes

Συγγραφείς: Debnath, Indibar, Singh, Ashutosh, Prakash, Om, Alhevaz, Abdollah

Πηγή: Journal of Algebra Combinatorics Discrete Structures and Applications. :127-152

Θεματικοί όροι: Frobenius ring, Other types of codes, chain ring, constacyclic code, Gray image, MacWilliams identity, Cyclic codes, Linear codes (general theory)

Περιγραφή αρχείου: application/xml

Good codes from twisted group algebras

Συγγραφείς: Samir Assuena

Πηγή: Journal of Algebra Combinatorics Discrete Structures and Applications. :163-174

Θεματικοί όροι: FOS: Computer and information sciences, twisted group algebras, Group rings, Computer Science - Information Theory, Information Theory (cs.IT), Primary 20C05, Secondary 16S34, Galois LCD constacyclic code, Group rings of finite groups and their modules (group-theoretic aspects), finite groups

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2307.13507

On constacyclic codes of length 10ps over [formula omitted] and their optimal codes

Συγγραφείς: Dinh, Hai Q. ^a, Ha, Hieu V. ^{b, c}, Tran, Nghia T.H. ^{d, ⁎}, Vo, Thieu N. ^e

Πηγή: In Finite Fields and Their Applications December 2026 116

Infinite Families of Cyclic and Negacyclic Codes Supporting 3-Designs

Συγγραφείς: Wang, X., Tang, C., Ding, C.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 69(4):2341-2354 Apr, 2023

Double Constacyclic Codes Over Two Finite Commutative Chain Rings

Συγγραφείς: Fan, Y., Liu, H.

Πηγή: IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 69(3):1521-1530 Mar, 2023

Differential uniformity and constacyclic code from some power mapping

Συγγραφείς: Cui, Yuehui^Aff1, Luo, Jinquan^{Aff1, IDs10623025016624_cor1}

Πηγή: Designs, Codes and Cryptography: An International Journal. 93(9):3671-3687

Optimal CIS codes, optimal t-CIS codes and their applications in cryptography

Συγγραφείς: Chen, Hao^Aff1, Liu, Shengwei^Aff2, Xie, Conghui^{Aff3, IDs1062302501773y_cor1}, Liu, Hongwei^Aff4

Πηγή: Designs, Codes and Cryptography: An International Journal. 94(1)

Equivalence of constacyclic codes with shift constants of different orders

Πηγή: Designs Codes and Cryptography. 93(1):79-93

Θεματικοί όροι: isometric equivalence, Constacyclic code, monomial equivalence, cyclic code, new linear code