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

Complementary Dual And Quantum Codes From Skew Constacyclic Codes

Συγγραφείς: Yadav, Shikha, Singh, Ashutosh, Prakash, Om

Πηγή: 2025 5th International Conference on Electrical, Computer and Energy Technologies (ICECET) Electrical, Computer and Energy Technologies (ICECET), 2025 5th International Conference on. :1-6 Jul, 2025

Relation: 2025 5th International Conference on Electrical, Computer and Energy Technologies (ICECET)

Quantum codes from constacyclic codes over finite non-chain rings

Συγγραφείς: Tang, Yongsheng^{Aff1, IDs11128026053347_cor1}, Xu, Heqian^Aff1, Yao, Ting^Aff1, Kai, Xiaoshan^Aff2

Πηγή: Quantum Information Processing. 25(9)

(1,1-2v)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(1,1-2v)$$\end{document}-constacyclic codes over Fq×(Fq+vFq)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {F}_q\times (\mathbb {F}_q+v\mathbb {F}_q)$$\end{document} and their applications to QEC codes

Συγγραφείς: Liu, Xiusheng^{Aff1, IDs11128026052988_cor1}, Liu, Jie^Aff2

Πηγή: Quantum Information Processing. 25(8)

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)

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

Συγγραφείς: Raj, Rishi^{Aff1, IDs4031402603735z_cor1}, Pathak, Sachin^Aff2, Maity, Dipendu^Aff1

Πηγή: Computational and Applied Mathematics. 45(9)

Support-Primitive Decomposition of Constacyclic Codes over Finite Fields: Coefficients-Based and Roots-Based Descriptions

Συγγραφείς: Zhu, Li, Wu, Hongfeng

Θεματικοί όροι: Information Theory, Number Theory, 94B15, 11T71

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2609.26414

The first tight classification of skew-constacyclic codes over finite fields

Συγγραφείς: Nevins, Monica, Pumluen, Susanne

Θεματικοί όροι: Information Theory, Rings and Algebras

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2608.21339

Hulls and sums of separable constacyclic codes over $\mathbb{F}_q \times (\mathbb{F}_q+v\mathbb{F}_q)$ and new quantum codes

Συγγραφείς: Qian, Yu, Wang, Yu, Wang, Liqi

Θεματικοί όροι: Information Theory

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2606.22069

Schur Products of Constacyclic Codes via the Constacyclic Discrete Fourier Transform

Συγγραφείς: Lin, Peifeng

Θεματικοί όροι: Information Theory

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2605.11650

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

Constacyclic codes over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{F}_q R_r$$\end{document} and new quantum codes

Συγγραφείς: Qian, Yu^Aff1, Wang, Yu^{Aff1, IDs12190026027930_cor1}, Wang, Liqi^Aff2

Πηγή: Journal of Applied Mathematics and Computing. 72(5)

Cyclic and Constacyclic Codes Over Z4+iZ4

Συγγραφείς: Martín, Miguel, Özman, Ekin

Θεματικοί όροι: Information Theory, Number Theory, 11T71, 94B15, 94B05, 13B25

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2607.18471

Two-dimensional constacyclic codes over finite chain rings

Συγγραφείς: Singh, Vaishali, Dutt, Sucheta, Thakral, Ridhima

Θεματικοί όροι: Information Theory, 11T71, 94B05

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2607.09117

On the structure of constacyclic codes over finite chain rings

Συγγραφείς: Singh, Vaishali, Dutt, Sucheta, Thakral, Ridhima

Θεματικοί όροι: Information Theory

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2607.01771

Skew Constacyclic Codes Of Length $np^s$ over $ \frac{\mathbb{F}_{p^m}[u]}{\langle u^k \rangle}

Συγγραφείς: Chahal, Seema, Antil, Seema, Maheshwary, Sugandha, Khan, Manju

Θεματικοί όροι: Information Theory, Rings and Algebras

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2605.15925

Constacyclic codes of length $np^s$ over $\frac{\mathbb{F}_{p^m}[u]}{\langle u^t\rangle}$: Torsions and Cardinalities

Συγγραφείς: Tiwari, Akanksha, Kanwar, Pramod, Sarma, Ritumoni

Θεματικοί όροι: Information Theory, 94B05, 94B15, 16P70, 13C12

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2605.11912

Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory

Συγγραφείς: Hu, Hongsheng, Li, Nian, Wu, Yanan, Zeng, Xiangyong

Θεματικοί όροι: Information Theory

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2605.05613

Cyclic \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(r,\delta )$$\end{document} locally recoverable codes from their constacyclic and negacyclic subcodes

Συγγραφείς: Zengin, Rabia^Aff1, Köroğlu, Mehmet Emin^{Aff2, IDs12095026008822_cor1}

Πηγή: Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences. 18(3):807-830

AMDS and quantum AMDS Constacyclic codes of length $4p^ς$ over $\mathbb{F}_{{p}^{m}}$

Συγγραφείς: J, Manasa K, Acharya, Divya, Poojary, Prasanna

Θεματικοί όροι: Combinatorics

Σύνδεσμος πρόσβασης: https://arxiv.org/abs/2605.23447