Constacyclic Codes With Best-Known Parameters

Authors: Chen, Z., Sha, M.

Source: 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

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

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

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

Authors: Zhu, Li, Wu, Hongfeng

Subject Terms: Information Theory, Number Theory, 94B15, 11T71

Access URL: https://arxiv.org/abs/2609.26414

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}

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

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

On the structure of constacyclic codes over finite chain rings

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

Subject Terms: Information Theory

Access URL: https://arxiv.org/abs/2607.01771

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

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

Subject Terms: Information Theory

Access URL: https://arxiv.org/abs/2605.05613

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}

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

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

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

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

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

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

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

Source: In Finite Fields and Their Applications December 2026 116

Quasi-twisted codes and their connection with additive constacyclic codes over finite fields

Authors: Abdukhalikov, Kanat, Verma, Gyanendra K.

Subject Terms: Information Theory, 94B05, 94B15, 94B60

Access URL: http://arxiv.org/abs/2603.06309

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

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

Source: In Discrete Mathematics September 2026 349(9)

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

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

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

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

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

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

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

File Description: application/xml

The Arithmetic Singleton Bound on the Hamming Distances of Simple-rooted Constacyclic Codes over Finite Fields

Authors: Zhu, Li, Wu, Hongfeng

Subject Terms: Information Theory

Access URL: https://arxiv.org/abs/2602.11788

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

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

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

About on the obtaining of some quantum code parameters from (−2vm−1 + 1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q

Authors: Gökgöz Gökhan, Öke Figen

Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 34, Iss 2, Pp 63-88 (2026)

Subject Terms: hulls, quantum construction x method, constacyclic codes, gray map, primary 11t71, 68p30, secondary 81p70, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/1844-0835

Access URL: https://doaj.org/article/1204bba1346b4b429e2ea0f740182527

Constacyclic codes over general mixed alphabets and their applications

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

Contributors: Karamanoglu Mehmetbey University Institutional Repository

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

Subject Terms: Gray Map, Quantum Codes, Constacyclic Code, Central Primitive İdempotents, Digital Arithmetic

File Description: application/pdf

Linear complementary pairs of skew constacyclic codes

Authors: Francisco Javier Lobillo, José Manuel Muñoz

Source: Digibug. Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)

Subject Terms: Skew constacyclic codes, FOS: Computer and information sciences, skew BCH codes, 16S36, 94B60, 94B65, Other types of codes, Computer Science - Information Theory, Information Theory (cs.IT), Skew BCH codes, Mathematics - Rings and Algebras, dual codes, linear codes, Skew polynomial rings, Bounds on codes, Linear codes, Dual codes, Ordinary and skew polynomial rings and semigroup rings, Rings and Algebras (math.RA), skew polynomial rings, skew constacyclic codes, FOS: Mathematics, skew cyclic codes, LCPs of codes

File Description: application/xml

Access URL: http://arxiv.org/abs/2312.07183
https://hdl.handle.net/10481/104911

Differential uniformity and constacyclic code from some power mapping

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

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

Equivalence of constacyclic codes with shift constants of different orders

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

Subject Terms: isometric equivalence, Constacyclic code, monomial equivalence, cyclic code, new linear code