Dinh, Hai Q.; Singh, Abhay Kumar; Thakur, Madhu Kant On symbol-pair distances of repeated-root constacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\) and MDS symbol-pair codes. (English) Zbl 07757141 Appl. Algebra Eng. Commun. Comput. 34, No. 6, 1027-1043 (2023). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 6, 1027--1043 (2023; Zbl 07757141) Full Text: DOI
Dinh, Hai Q.; Nguyen, Bac T.; Thi, Hiep L.; Yamaka, Woraphon On Hamming distance distributions of repeated-root constacyclic codes of length \(3p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). (English) Zbl 07745155 Discrete Math. 346, No. 12, Article ID 113593, 26 p. (2023). MSC: 94Bxx 11Txx 94Axx PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Discrete Math. 346, No. 12, Article ID 113593, 26 p. (2023; Zbl 07745155) Full Text: DOI
Hesari, Roghayeh Mohammadi; Samei, Karim Skew constacyclic codes of lengths \(p^s\) and \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \). (English) Zbl 07732856 Finite Fields Appl. 91, Article ID 102269, 30 p. (2023). MSC: 94B15 16S36 PDFBibTeX XMLCite \textit{R. M. Hesari} and \textit{K. Samei}, Finite Fields Appl. 91, Article ID 102269, 30 p. (2023; Zbl 07732856) Full Text: DOI
Laaouine, Jamal; Charkani, Mohammed Elhassani A note on: “Hamming distance of repeated-root constacyclic codes of length \(2p^s\) over \({\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}\)”. (English) Zbl 1519.94246 Appl. Algebra Eng. Commun. Comput. 34, No. 2, 157-163 (2023). MSC: 94B15 PDFBibTeX XMLCite \textit{J. Laaouine} and \textit{M. E. Charkani}, Appl. Algebra Eng. Commun. Comput. 34, No. 2, 157--163 (2023; Zbl 1519.94246) Full Text: DOI
Dinh, Hai Q.; Satpati, Sampurna; Singh, Abhay Kumar Construction of optimal codes from a class of constacyclic codes. (English) Zbl 1508.94084 J. Appl. Math. Comput. 68, No. 6, 3961-3977 (2022). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., J. Appl. Math. Comput. 68, No. 6, 3961--3977 (2022; Zbl 1508.94084) Full Text: DOI
Kong, Bo; Zheng, Xiying Non-binary quantum codes from constacyclic codes over \(\mathbb{F}_q [u_1, u_2,\dots,u_k]/\langle u_i^3 = u_i, u_i u_j = u_j u_i \rangle\). (English) Zbl 1512.94157 Open Math. 20, 1013-1020 (2022). MSC: 94B15 94B05 81P94 PDFBibTeX XMLCite \textit{B. Kong} and \textit{X. Zheng}, Open Math. 20, 1013--1020 (2022; Zbl 1512.94157) Full Text: DOI
Liu, Hongwei; Liu, Jingge On \(\sigma \)-self-orthogonal constacyclic codes over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\). (English) Zbl 1497.94164 Adv. Math. Commun. 16, No. 3, 643-665 (2022). MSC: 94B05 94B15 94A55 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Liu}, Adv. Math. Commun. 16, No. 3, 643--665 (2022; Zbl 1497.94164) Full Text: DOI
Dinh, Hai Q.; Nguyen, Bac T.; Maneejuk, Paravee Constacyclic codes of length \(8p^s\) over \(\mathbb{F}_{p^m} + u\mathbb{F}_{p^m}\). (English) Zbl 1497.94172 Adv. Math. Commun. 16, No. 3, 525-570 (2022). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Adv. Math. Commun. 16, No. 3, 525--570 (2022; Zbl 1497.94172) Full Text: DOI
Rani, Saroj A class of constacyclic codes over \({\mathbb{F}}_{p^m}[u]/\langle u^2\rangle\). (English) Zbl 1489.94163 Indian J. Pure Appl. Math. 53, No. 2, 355-371 (2022). MSC: 94B15 PDFBibTeX XMLCite \textit{S. Rani}, Indian J. Pure Appl. Math. 53, No. 2, 355--371 (2022; Zbl 1489.94163) Full Text: DOI
Dinh, Hai Q.; Kewat, Pramod Kumar; Kushwaha, Sarika; Yamaka, Woraphon Self-dual constacyclic codes of length \(2^s\) over the ring \(\mathbb{F}_{2^m}[u,v]/\langle u^2, v^2, uv-vu \rangle \). (English) Zbl 1501.94102 J. Appl. Math. Comput. 68, No. 1, 431-459 (2022). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., J. Appl. Math. Comput. 68, No. 1, 431--459 (2022; Zbl 1501.94102) Full Text: DOI
Rani, Saroj; Dinh, Hai Q. RT distances and Hamming distances of constacyclic codes of length \(8p^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\). (English) Zbl 1499.94069 Comput. Appl. Math. 41, No. 4, Paper No. 159, 46 p. (2022). MSC: 94B15 PDFBibTeX XMLCite \textit{S. Rani} and \textit{H. Q. Dinh}, Comput. Appl. Math. 41, No. 4, Paper No. 159, 46 p. (2022; Zbl 1499.94069) Full Text: DOI
Phuto, Jirayu; Klin-eam, Chakkrid Duality of constacyclic codes of prime power length over the finite non-commutative chain ring \(\frac{ \mathbb{F}_{p^m} [ u , \theta ]}{ \langle u^2 \rangle} \). (English) Zbl 1495.94133 Discrete Math. 345, No. 6, Article ID 112856, 16 p. (2022). MSC: 94B15 PDFBibTeX XMLCite \textit{J. Phuto} and \textit{C. Klin-eam}, Discrete Math. 345, No. 6, Article ID 112856, 16 p. (2022; Zbl 1495.94133) Full Text: DOI
Inchaisri, Teeramet; Phuto, Jirayu; Klin-Eam, Chakkrid Negacyclic codes of prime power length over the finite non-commutative chain ring \(\frac{\mathbb{F}_{p^m}[u,\theta]}{\langle u^2\rangle}\). (English) Zbl 1492.94212 Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150091, 39 p. (2022). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{T. Inchaisri} et al., Discrete Math. Algorithms Appl. 14, No. 1, Article ID 2150091, 39 p. (2022; Zbl 1492.94212) Full Text: DOI
Liang, Shuhua Self-dual and self-orthogonal negacyclic codes of length \(2^m p^n\) over finite fields. (English) Zbl 1524.94096 Adv. Math., Beijing 50, No. 6, 940-952 (2021). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{S. Liang}, Adv. Math., Beijing 50, No. 6, 940--952 (2021; Zbl 1524.94096) Full Text: DOI
Liu, Hongwei; Liu, Jingge Non-invertible-element constacyclic codes over finite PIRs. (English) Zbl 1473.94141 Finite Fields Appl. 75, Article ID 101878, 26 p. (2021). Reviewer: Yansheng Wu (Nanjing) MSC: 94B05 94B15 94B60 94B65 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Liu}, Finite Fields Appl. 75, Article ID 101878, 26 p. (2021; Zbl 1473.94141) Full Text: DOI arXiv
Sriwirach, Wateekorn; Klin-eam, Chakkrid Repeated-root constacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m} \). (English) Zbl 1469.94158 Cryptogr. Commun. 13, No. 1, 27-52 (2021). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{W. Sriwirach} and \textit{C. Klin-eam}, Cryptogr. Commun. 13, No. 1, 27--52 (2021; Zbl 1469.94158) Full Text: DOI
Laaouine, Jamal; Charkani, Mohammed Elhassani; Wang, Liqi Complete classification of repeated-root \(\sigma\)-constacyclic codes of prime power length over \(\mathbb{F}_{p^m} [ u ] / \langle u^3 \rangle \). (English) Zbl 1476.94049 Discrete Math. 344, No. 6, Article ID 112325, 16 p. (2021). MSC: 94B15 13M05 PDFBibTeX XMLCite \textit{J. Laaouine} et al., Discrete Math. 344, No. 6, Article ID 112325, 16 p. (2021; Zbl 1476.94049) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Wang, Guidong; Sirisrisakulchai, Jirakom An explicit expression for Euclidean self-dual cyclic codes over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m}\) of length \(2^s\). (English) Zbl 1472.94095 Discrete Math. 344, No. 5, Article ID 112323, 12 p. (2021). MSC: 94B15 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Math. 344, No. 5, Article ID 112323, 12 p. (2021; Zbl 1472.94095) Full Text: DOI
Phuto, Jirayu; Klin-Eam, Chakkrid Explicit constructions of cyclic and negacyclic codes of length \(3 p^s\) over \(\mathbb{F}_{p^m}+u \mathbb{F}_{p^m} \). (English) Zbl 1487.94171 Discrete Math. Algorithms Appl. 12, No. 5, Article ID 2050063, 35 p. (2020). Reviewer: Mijail Borges Quintana (Santiago de Cuba) MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{J. Phuto} and \textit{C. Klin-Eam}, Discrete Math. Algorithms Appl. 12, No. 5, Article ID 2050063, 35 p. (2020; Zbl 1487.94171) Full Text: DOI
Rani, Saroj On cyclic and negacyclic codes of length \(8p^s\) over \(\mathbb F_{p^m} + u \mathbb F_{p^m}\). (English) Zbl 1463.94062 J. Indian Math. Soc., New Ser. 87, No. 3-4, 231-260 (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{S. Rani}, J. Indian Math. Soc., New Ser. 87, No. 3--4, 231--260 (2020; Zbl 1463.94062) Full Text: DOI
Dinh, Hai Q.; Gaur, A.; Gupta, Indivar; Singh, Abhay K.; Singh, Manoj Kumar; Tansuchat, Roengchai Hamming distance of repeated-root constacyclic codes of length \(2p^s\) over \({\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m} \). (English) Zbl 1458.94323 Appl. Algebra Eng. Commun. Comput. 31, No. 3-4, 291-305 (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Appl. Algebra Eng. Commun. Comput. 31, No. 3--4, 291--305 (2020; Zbl 1458.94323) Full Text: DOI
Dinh, Hai Q.; Kewat, Pramod Kumar; Kushwaha, Sarika; Yamaka, Woraphon On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v ] / \langle u^2 , v^2 , u v - v u \rangle \). (English) Zbl 1458.94324 Discrete Math. 343, No. 8, Article ID 111890, 23 p. (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Discrete Math. 343, No. 8, Article ID 111890, 23 p. (2020; Zbl 1458.94324) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Jitman, Somphong An efficient method to construct self-dual cyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \). (English) Zbl 1442.94059 Discrete Math. 343, No. 6, Article ID 111868, 18 p. (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Math. 343, No. 6, Article ID 111868, 18 p. (2020; Zbl 1442.94059) Full Text: DOI arXiv
Wu, Yansheng; Yue, Qin; Fan, Shuqin Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications. (English) Zbl 1452.94126 Finite Fields Appl. 63, Article ID 101648, 15 p. (2020). Reviewer: Nikolai L. Manev (Sofia) MSC: 94B15 11T06 11T71 94B05 PDFBibTeX XMLCite \textit{Y. Wu} et al., Finite Fields Appl. 63, Article ID 101648, 15 p. (2020; Zbl 1452.94126) Full Text: DOI arXiv
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Ma, Fanghui Construction and enumeration for self-dual cyclic codes of even length over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \). (English) Zbl 1507.94070 Finite Fields Appl. 61, Article ID 101598, 28 p. (2020). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{Y. Cao} et al., Finite Fields Appl. 61, Article ID 101598, 28 p. (2020; Zbl 1507.94070) Full Text: DOI arXiv
Yuan, Jian; Zhu, Shixin; Kai, Xiaoshan On the depth spectrum of repeated-root constacyclic codes over finite chain rings. (English) Zbl 1434.94103 Discrete Math. 343, No. 2, Article ID 111647, 8 p. (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{J. Yuan} et al., Discrete Math. 343, No. 2, Article ID 111647, 8 p. (2020; Zbl 1434.94103) Full Text: DOI
Sriwirach, Wateekorn; Klin-Eam, Chakkrid The structure of constacyclic codes of length \(2p^s\) over finite chain ring. (English) Zbl 1476.94051 Thai J. Math. 17, No. 2, 413-429 (2019). MSC: 94B15 94B05 13M05 PDFBibTeX XMLCite \textit{W. Sriwirach} and \textit{C. Klin-Eam}, Thai J. Math. 17, No. 2, 413--429 (2019; Zbl 1476.94051) Full Text: Link
Klin-Eam, Chakkrid; Phuto, Jirayu Negacyclic codes of length \(8p^s\) over \(F_{p^m} + uF_{p^m}\). (English) Zbl 1430.94099 Bull. Korean Math. Soc. 56, No. 6, 1385-1422 (2019). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{C. Klin-Eam} and \textit{J. Phuto}, Bull. Korean Math. Soc. 56, No. 6, 1385--1422 (2019; Zbl 1430.94099) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Jitman, Somphong An explicit representation and enumeration for self-dual cyclic codes over \(\mathbb{F}_{2^m}+u\mathbb{F}_{2^m}\) of length \(2^s\). (English) Zbl 1412.94241 Discrete Math. 342, No. 7, 2077-2091 (2019). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Math. 342, No. 7, 2077--2091 (2019; Zbl 1412.94241) Full Text: DOI arXiv
Dinh, Hai Q.; Nguyen, Bac T.; Sriboonchitta, Songsak; Vo, Thang M. On \((\alpha + u \beta)\)-constacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}^\ast\). (English) Zbl 1461.94102 J. Algebra Appl. 18, No. 2, Article ID 1950023, 16 p. (2019). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., J. Algebra Appl. 18, No. 2, Article ID 1950023, 16 p. (2019; Zbl 1461.94102) Full Text: DOI
Dinh, Hai Q.; Nguyen, Bac T.; Sriboonchitta, Songsak; Vo, Thang M. On a class of constacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). (English) Zbl 1461.94101 J. Algebra Appl. 18, No. 2, Article ID 1950022, 25 p. (2019). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., J. Algebra Appl. 18, No. 2, Article ID 1950022, 25 p. (2019; Zbl 1461.94101) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Yun; Sriboonchitta, Songsak Type 2 constacyclic codes over \(\mathbb{F}_{2^m} [u] / \langle u^3 \rangle\) of oddly even length. (English) Zbl 1417.94112 Discrete Math. 342, No. 2, 412-426 (2019). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Math. 342, No. 2, 412--426 (2019; Zbl 1417.94112) Full Text: DOI
Sharma, Anuradha; Sidana, Tania Repeated-root constacyclic codes of arbitrary lengths over the Galois ring \(\mathrm{GR}(p^2, m)\). (English) Zbl 1398.94231 Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850036, 22 p. (2018). MSC: 94B15 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{T. Sidana}, Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850036, 22 p. (2018; Zbl 1398.94231) Full Text: DOI
Cao, Yonglin; Cao, Yuan; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Jian; Sriboonchitta, Songsak Constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\). (English) Zbl 1414.94933 Adv. Math. Commun. 12, No. 2, 231-262 (2018). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{Y. Cao} et al., Adv. Math. Commun. 12, No. 2, 231--262 (2018; Zbl 1414.94933) Full Text: DOI arXiv
Dinh, Hai Q.; Sharma, Anuradha; Rani, Saroj; Sriboonchitta, Songsak Cyclic and negacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). (English) Zbl 1395.94348 J. Algebra Appl. 17, No. 9, Article ID 1850173, 22 p. (2018). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., J. Algebra Appl. 17, No. 9, Article ID 1850173, 22 p. (2018; Zbl 1395.94348) Full Text: DOI
Dinh, Hai Q.; Nguyen, Bac Trong; Sriboonchitta, Songsak On a class of constacyclic codes of length \(2p^s\) over \(\frac{\mathbb{F}_{p^m}[u]}{\langle u^a \rangle}\). (English) Zbl 1414.94934 Bull. Korean Math. Soc. 55, No. 4, 1189-1208 (2018). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Bull. Korean Math. Soc. 55, No. 4, 1189--1208 (2018; Zbl 1414.94934) Full Text: Link
Zhao, Wei; Tang, Xilin; Gu, Ze All \(\alpha+u\beta\)-constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\). (English) Zbl 1436.94118 Finite Fields Appl. 50, 1-16 (2018). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{W. Zhao} et al., Finite Fields Appl. 50, 1--16 (2018; Zbl 1436.94118) Full Text: DOI arXiv
Dinh, Hai Q.; Fan, Yun; Liu, Hualu; Liu, Xiusheng; Sriboonchitta, Songsak On self-dual constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). (English) Zbl 1401.94226 Discrete Math. 341, No. 2, 324-335 (2018). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Discrete Math. 341, No. 2, 324--335 (2018; Zbl 1401.94226) Full Text: DOI
Koroglu, Mehmet E.; Siap, Irfan A class of constacyclic codes from group algebras. (English) Zbl 1488.94100 Filomat 31, No. 10, 2917-2923 (2017). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{M. E. Koroglu} and \textit{I. Siap}, Filomat 31, No. 10, 2917--2923 (2017; Zbl 1488.94100) Full Text: DOI
Bae, Sunghan; Kang, Pyung-Lyun; Li, Chengju On normalized generating sets for GQC codes over \(\mathbb{Z}_2\). (English) Zbl 1402.94077 Finite Fields Appl. 45, 285-300 (2017). MSC: 94B05 94B15 11T71 13M99 PDFBibTeX XMLCite \textit{S. Bae} et al., Finite Fields Appl. 45, 285--300 (2017; Zbl 1402.94077) Full Text: DOI
Dinh, Hai Q.; Dhompongsa, Sompong; Sriboonchitta, Songsak On constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} +u\mathbb{F}_{p^m}\). (English) Zbl 1372.94460 Discrete Math. 340, No. 4, 832-849 (2017). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Discrete Math. 340, No. 4, 832--849 (2017; Zbl 1372.94460) Full Text: DOI