Bajalan, Maryam; Martínez-Moro, Edgar; Sobhani, Reza; Szabo, Steve; Yılmazgüç, Gülsüm Gözde On the structure of repeated-root polycyclic codes over local rings. (English) Zbl 07756978 Discrete Math. 347, No. 1, Article ID 113715, 13 p. (2024). MSC: 94Bxx 11Txx 13Mxx PDFBibTeX XMLCite \textit{M. Bajalan} et al., Discrete Math. 347, No. 1, Article ID 113715, 13 p. (2024; Zbl 07756978) Full Text: DOI arXiv
Taki Eldin, Ramy Two-sided Galois duals of multi-twisted codes. (English) Zbl 07746761 J. Appl. Math. Comput. 69, No. 4, 3459-3487 (2023). MSC: 94B60 11T71 13C10 15A54 PDFBibTeX XMLCite \textit{R. Taki Eldin}, J. Appl. Math. Comput. 69, No. 4, 3459--3487 (2023; Zbl 07746761) Full Text: DOI arXiv
Gao, Jian; Wu, Tian; Fu, Fang-Wei Hulls of double cyclic codes. (English) Zbl 07680311 Finite Fields Appl. 88, Article ID 102189, 30 p. (2023). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{J. Gao} et al., Finite Fields Appl. 88, Article ID 102189, 30 p. (2023; Zbl 07680311) Full Text: DOI
Yuan, Jian; Zhu, Shixin; Kai, Xiaoshan Construction of self-dual MDR cyclic codes over finite chain rings. (English) Zbl 1521.94119 J. Appl. Math. Comput. 69, No. 1, 549-564 (2023). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{J. Yuan} et al., J. Appl. Math. Comput. 69, No. 1, 549--564 (2023; Zbl 1521.94119) Full Text: DOI
Cao, Yuan; Cao, Yonglin; Ma, Fanghui Construction and enumeration of left dihedral codes satisfying certain duality properties. (English) Zbl 1495.94157 Discrete Math. 345, No. 11, Article ID 113059, 17 p. (2022). MSC: 94B60 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Math. 345, No. 11, Article ID 113059, 17 p. (2022; Zbl 1495.94157) Full Text: DOI arXiv
Köse, Şeyda; Özbudak, Ferruh Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. (English) Zbl 1491.13034 Cryptogr. Commun. 14, No. 4, 933-948 (2022). Reviewer: Cenap Özel (İzmir) MSC: 13P05 94B05 PDFBibTeX XMLCite \textit{Ş. Köse} and \textit{F. Özbudak}, Cryptogr. Commun. 14, No. 4, 933--948 (2022; Zbl 1491.13034) Full Text: DOI
Hou, Xiaotong; Gao, Jian \(n\)-dimension quasi-twisted codes of arbitrary length over finite fields. (English) Zbl 1501.94084 J. Appl. Math. Comput. 68, No. 1, 535-552 (2022). MSC: 94B05 94B65 PDFBibTeX XMLCite \textit{X. Hou} and \textit{J. Gao}, J. Appl. Math. Comput. 68, No. 1, 535--552 (2022; Zbl 1501.94084) Full Text: DOI
Chauhan, Varsha; Sharma, Anuradha A generalization of multi-twisted codes over finite fields, their Galois duals and type II codes. (English) Zbl 1495.94128 J. Appl. Math. Comput. 68, No. 2, 1413-1447 (2022). MSC: 94B15 PDFBibTeX XMLCite \textit{V. Chauhan} and \textit{A. Sharma}, J. Appl. Math. Comput. 68, No. 2, 1413--1447 (2022; Zbl 1495.94128) Full Text: DOI
Zhu, Hongwei; Shi, Minjia Several classes of asymptotically good quasi-twisted codes with a low index. (English) Zbl 1495.94137 J. Appl. Math. Comput. 68, No. 2, 1227-1244 (2022). MSC: 94B15 94B25 05E30 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{M. Shi}, J. Appl. Math. Comput. 68, No. 2, 1227--1244 (2022; Zbl 1495.94137) Full Text: DOI
Zhao, Hai; Luo, Rong; Sun, Tongjun Two families of optimal ternary cyclic codes with minimal distance four. (English) Zbl 1485.94168 Finite Fields Appl. 79, Article ID 101995, 17 p. (2022). MSC: 94B15 11T71 12E12 PDFBibTeX XMLCite \textit{H. Zhao} et al., Finite Fields Appl. 79, Article ID 101995, 17 p. (2022; Zbl 1485.94168) 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
Liao, Qunying; Liu, Yuanbo Two generalizations for quadratic residue codes over finite fields. (English) Zbl 1513.94048 Adv. Math., Beijing 50, No. 6, 917-939 (2021). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{Q. Liao} and \textit{Y. Liu}, Adv. Math., Beijing 50, No. 6, 917--939 (2021; Zbl 1513.94048) Full Text: DOI
Boripan, Arunwan; Jitman, Somphong Revisiting the factorization of \(x^n+1\) over finite fields with applications. (English) Zbl 1477.11201 J. Math. 2021, Article ID 6626422, 10 p. (2021). MSC: 11T22 94B15 PDFBibTeX XMLCite \textit{A. Boripan} and \textit{S. Jitman}, J. Math. 2021, Article ID 6626422, 10 p. (2021; Zbl 1477.11201) Full Text: DOI arXiv
Irwansyah; Muchtadi-Alamsyah, Intan; Muchlis, Ahmad; Barra, Aleams; Suprijanto, Djoko A note on the construction and enumeration of Euclidean self-dual skew-cyclic codes. (English) Zbl 1479.94365 Appl. Algebra Eng. Commun. Comput. 32, No. 3, 345-358 (2021). Reviewer: Tsuyoshi Miezaki (Tokyo) MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{Irwansyah} et al., Appl. Algebra Eng. Commun. Comput. 32, No. 3, 345--358 (2021; Zbl 1479.94365) Full Text: DOI
Wu, Tingting; Liu, Li; Li, Lanqiang; Zhu, Shixin Repeated-root constacyclic codes of length \(6lp^s\). (English) Zbl 1465.94120 Adv. Math. Commun. 15, No. 1, 167-189 (2021). MSC: 94B05 11T71 94B15 PDFBibTeX XMLCite \textit{T. Wu} et al., Adv. Math. Commun. 15, No. 1, 167--189 (2021; Zbl 1465.94120) Full Text: DOI
Boripan, Arunwan; Jitman, Somphong SRIM and SCRIM factors of \(x^n+1\) over finite fields and their applications. (English) Zbl 1464.11136 Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050098, 20 p. (2021). MSC: 11T71 11T06 94B15 PDFBibTeX XMLCite \textit{A. Boripan} and \textit{S. Jitman}, Discrete Math. Algorithms Appl. 13, No. 1, Article ID 2050098, 20 p. (2021; Zbl 1464.11136) Full Text: DOI arXiv
Kabore, Joël; Fotue-Tabue, Alexandre; Guenda, Kenza; Charkani, Mohammed E. Skew-constacyclic codes over \(\mathbb{F}_q[\nu]/\langle \nu^q-\nu \rangle\). (English) Zbl 1513.94047 Adv. Appl. Discrete Math. 25, No. 2, 173-199 (2020). MSC: 94B15 94B60 PDFBibTeX XMLCite \textit{J. Kabore} et al., Adv. Appl. Discrete Math. 25, No. 2, 173--199 (2020; Zbl 1513.94047) Full Text: DOI
Choosuwan, Parinyawat; Jitman, Somphong Self-dual codes over \(\mathbb{F}_q+u\mathbb{F}_q+u^2\mathbb{F}_q\) and applications. (English) Zbl 1460.94084 J. Algebra Comb. Discrete Struct. Appl. 7, No. 3, 209-227 (2020). MSC: 94B15 94B05 94B60 PDFBibTeX XMLCite \textit{P. Choosuwan} and \textit{S. Jitman}, J. Algebra Comb. Discrete Struct. Appl. 7, No. 3, 209--227 (2020; Zbl 1460.94084) Full Text: arXiv
Hou, Xiaotong; Gao, Jian A bound on the minimum distance of generalized quasi-twisted codes. (English) Zbl 1464.94070 Finite Fields Appl. 67, Article ID 101712, 19 p. (2020). MSC: 94B05 94B15 11T71 PDFBibTeX XMLCite \textit{X. Hou} and \textit{J. Gao}, Finite Fields Appl. 67, Article ID 101712, 19 p. (2020; Zbl 1464.94070) Full Text: DOI
Wang, Dandan; Cao, Xiwang; Mi, Jiafu Some arithmetical properties of cyclotomic cosets and their applications. (English) Zbl 1478.94140 Discrete Math. 343, No. 9, Article ID 111971, 16 p. (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{D. Wang} et al., Discrete Math. 343, No. 9, Article ID 111971, 16 p. (2020; Zbl 1478.94140) Full Text: DOI
Falk, Brett Hemenway; Heninger, Nadia; Rudow, Michael Properties of constacyclic codes under the Schur product. (English) Zbl 1448.94286 Des. Codes Cryptography 88, No. 6, 993-1021 (2020). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{B. H. Falk} et al., Des. Codes Cryptography 88, No. 6, 993--1021 (2020; Zbl 1448.94286) Full Text: DOI arXiv
Alahmadi, Adel; Güneri, Cem; Özkaya, Buket; Shoaib, Hatoon; Solé, Patrick On complementary dual multinegacirculant codes. (English) Zbl 1446.94174 Cryptogr. Commun. 12, No. 1, 101-113 (2020). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{A. Alahmadi} et al., Cryptogr. Commun. 12, No. 1, 101--113 (2020; Zbl 1446.94174) Full Text: DOI arXiv
Shi, Minjia; Zhu, Hongwei; Qian, Liqin; Sok, Lin; Solé, Patrick On self-dual and LCD double circulant and double negacirculant codes over \(\mathbb{F}_q+u\mathbb{F}_q \). (English) Zbl 1446.94195 Cryptogr. Commun. 12, No. 1, 53-70 (2020). MSC: 94B15 PDFBibTeX XMLCite \textit{M. Shi} et al., Cryptogr. Commun. 12, No. 1, 53--70 (2020; Zbl 1446.94195) Full Text: DOI arXiv
Liu, Yan; Shi, Minjia Repeated-root constacyclic codes of length \(k\ell p^s\). (English) Zbl 1434.94108 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 2009-2027 (2020). MSC: 94B25 05E30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Shi}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 2009--2027 (2020; Zbl 1434.94108) Full Text: DOI
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
Wu, Rongsheng; Shi, Minjia A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four. (English) Zbl 1452.94120 Finite Fields Appl. 62, Article ID 101627, 11 p. (2020). MSC: 94B05 94B15 94B25 PDFBibTeX XMLCite \textit{R. Wu} and \textit{M. Shi}, Finite Fields Appl. 62, Article ID 101627, 11 p. (2020; Zbl 1452.94120) Full Text: DOI
Ling, San; Özkaya, Buket Multidimensional quasi-twisted codes: equivalent characterizations and their relation to multidimensional convolutional codes. (English) Zbl 1423.94166 Des. Codes Cryptography 87, No. 12, 2941-2965 (2019). MSC: 94B15 94B60 94B10 PDFBibTeX XMLCite \textit{S. Ling} and \textit{B. Özkaya}, Des. Codes Cryptography 87, No. 12, 2941--2965 (2019; Zbl 1423.94166) Full Text: DOI
Jitman, Somphong; Ling, San Self-dual and complementary dual abelian codes over Galois rings. (English) Zbl 1423.94163 J. Algebra Comb. Discrete Struct. Appl. 6, No. 2, 75-94 (2019). MSC: 94B15 94B05 16S34 94B60 PDFBibTeX XMLCite \textit{S. Jitman} and \textit{S. Ling}, J. Algebra Comb. Discrete Struct. Appl. 6, No. 2, 75--94 (2019; Zbl 1423.94163)
Sharma, Anuradha; Chauhan, Varsha Skew multi-twisted codes over finite fields and their Galois duals. (English) Zbl 1421.94107 Finite Fields Appl. 59, 297-334 (2019). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{V. Chauhan}, Finite Fields Appl. 59, 297--334 (2019; Zbl 1421.94107) Full Text: DOI
Xie, Derong; Liao, Qunying On constacyclic codes over \(Z_{p_1 p_2 \cdots p_t}\). (English) Zbl 1422.94048 Chin. Ann. Math., Ser. B 40, No. 4, 555-566 (2019). MSC: 94B15 PDFBibTeX XMLCite \textit{D. Xie} and \textit{Q. Liao}, Chin. Ann. Math., Ser. B 40, No. 4, 555--566 (2019; Zbl 1422.94048) Full Text: DOI
Qian, Liqin; Shi, Minjia; Solé, Patrick On self-dual and LCD quasi-twisted codes of index two over a special chain ring. (English) Zbl 1459.94170 Cryptogr. Commun. 11, No. 4, 717-734 (2019). MSC: 94B15 05E30 94B25 PDFBibTeX XMLCite \textit{L. Qian} et al., Cryptogr. Commun. 11, No. 4, 717--734 (2019; Zbl 1459.94170) Full Text: DOI HAL
Boripan, Arunwan; Jitman, Somphong; Udomkavanich, Patanee Self-conjugate-reciprocal irreducible monic factors of \(x^{n}-1\) over finite fields and their applications. (English) Zbl 1404.11134 Finite Fields Appl. 55, 78-96 (2019). MSC: 11T06 11T71 94B05 PDFBibTeX XMLCite \textit{A. Boripan} et al., Finite Fields Appl. 55, 78--96 (2019; Zbl 1404.11134) Full Text: DOI arXiv
Shi, Minjia; Zhu, Hongwei; Qian, Liqin; Solé, Patrick On self-dual four circulant codes. (English) Zbl 1409.94936 Int. J. Found. Comput. Sci. 29, No. 7, 1143-1150 (2018). MSC: 94B15 05B99 PDFBibTeX XMLCite \textit{M. Shi} et al., Int. J. Found. Comput. Sci. 29, No. 7, 1143--1150 (2018; Zbl 1409.94936) Full Text: DOI arXiv
Singh, Abhay Kumar; Kumar, Narendra; Shum, Kar Ping Cyclic self-orthogonal codes over finite chain ring. (English) Zbl 1404.94148 Asian-Eur. J. Math. 11, No. 6, Article ID 1850078, 13 p. (2018). MSC: 94B15 PDFBibTeX XMLCite \textit{A. K. Singh} et al., Asian-Eur. J. Math. 11, No. 6, Article ID 1850078, 13 p. (2018; Zbl 1404.94148) Full Text: DOI
Rani, Saroj On cyclic and negacyclic codes of length \(8 \ell^m p^n\) over finite field. (English) Zbl 1402.94106 Asian-Eur. J. Math. 11, No. 5, Article ID 1850071, 17 p. (2018). MSC: 94B15 PDFBibTeX XMLCite \textit{S. Rani}, Asian-Eur. J. Math. 11, No. 5, Article ID 1850071, 17 p. (2018; Zbl 1402.94106) Full Text: DOI
Prugsapitak, Supawadee; Jitman, Somphong Enumeration of self-dual cyclic codes of some specific lengths over finite fields. (English) Zbl 1402.94105 Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850031, 14 p. (2018). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{S. Prugsapitak} and \textit{S. Jitman}, Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850031, 14 p. (2018; Zbl 1402.94105) Full Text: DOI arXiv
Shi, Minjia; Qian, Liqin; Solé, Patrick On self-dual negacirculant codes of index two and four. (English) Zbl 1437.94090 Des. Codes Cryptography 86, No. 11, 2485-2494 (2018). MSC: 94B05 94B15 94B25 05E30 PDFBibTeX XMLCite \textit{M. Shi} et al., Des. Codes Cryptography 86, No. 11, 2485--2494 (2018; Zbl 1437.94090) Full Text: DOI arXiv
Alahmadi, Adel; Güneri, Cem; Shoaib, Hatoon; Solé, Patrick Long quasi-polycyclic \(t\)-CIS codes. (English) Zbl 1414.94930 Adv. Math. Commun. 12, No. 1, 189-198 (2018). MSC: 94B15 PDFBibTeX XMLCite \textit{A. Alahmadi} et al., Adv. Math. Commun. 12, No. 1, 189--198 (2018; Zbl 1414.94930) Full Text: DOI arXiv
Güneri, Cem; Özdemir, Funda; Solé, Patrick On the additive cyclic structure of quasi-cyclic codes. (English) Zbl 1398.94230 Discrete Math. 341, No. 10, 2735-2741 (2018). MSC: 94B15 PDFBibTeX XMLCite \textit{C. Güneri} et al., Discrete Math. 341, No. 10, 2735--2741 (2018; Zbl 1398.94230) Full Text: DOI
Saleh, A.; Esmaeili, M. Some classes of quasi-twisted codes over finite chain rings. (English) Zbl 1401.94251 J. Appl. Math. Comput. 57, No. 1-2, 629-646 (2018). MSC: 94B40 94B05 94B60 PDFBibTeX XMLCite \textit{A. Saleh} and \textit{M. Esmaeili}, J. Appl. Math. Comput. 57, No. 1--2, 629--646 (2018; Zbl 1401.94251) Full Text: DOI
Melakhessou, A.; Guenda, K.; Gulliver, T. A.; Shi, M.; Solé, P. On codes over \(\mathbb {F}_{q}+v\mathbb {F}_{q}+v^{2}\mathbb {F}_{q}\). (English) Zbl 1422.94039 J. Appl. Math. Comput. 57, No. 1-2, 375-391 (2018). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{A. Melakhessou} et al., J. Appl. Math. Comput. 57, No. 1--2, 375--391 (2018; Zbl 1422.94039) Full Text: DOI arXiv
Kim, Boran; Lee, Yoonjin A mass formula for cyclic codes over Galois rings of characteristic \(p^3\). (English) Zbl 1423.94165 Finite Fields Appl. 52, 214-242 (2018). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{B. Kim} and \textit{Y. Lee}, Finite Fields Appl. 52, 214--242 (2018; Zbl 1423.94165) Full Text: DOI
Sharma, Anuradha; Chauhan, Varsha; Singh, Harshdeep Multi-twisted codes over finite fields and their dual codes. (English) Zbl 1416.94072 Finite Fields Appl. 51, 270-297 (2018). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{A. Sharma} et al., Finite Fields Appl. 51, 270--297 (2018; Zbl 1416.94072) Full Text: DOI arXiv
Lv, Jingjie; Gao, Jian A minimum distance bound for 2-dimension \(\lambda\)-quasi-twisted codes over finite fields. (English) Zbl 1416.94066 Finite Fields Appl. 51, 146-167 (2018). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{J. Lv} and \textit{J. Gao}, Finite Fields Appl. 51, 146--167 (2018; Zbl 1416.94066) Full Text: DOI
Saleh, A.; Esmaeili, M. On complementary dual quasi-twisted codes. (English) Zbl 1430.94095 J. Appl. Math. Comput. 56, No. 1-2, 115-129 (2018). MSC: 94B05 81P70 PDFBibTeX XMLCite \textit{A. Saleh} and \textit{M. Esmaeili}, J. Appl. Math. Comput. 56, No. 1--2, 115--129 (2018; Zbl 1430.94095) Full Text: DOI
Jitman, Somphong Good integers and some applications in coding theory. (English) Zbl 1382.94176 Cryptogr. Commun. 10, No. 4, 685-704 (2018); correction ibid. 10, No. 6, 1203 (2018). MSC: 94B15 94B60 11N25 PDFBibTeX XMLCite \textit{S. Jitman}, Cryptogr. Commun. 10, No. 4, 685--704 (2018; Zbl 1382.94176) Full Text: DOI arXiv
Rajabi, Zohreh; Khashyarmanesh, Kazem Repeated-root two-dimensional constacyclic codes of length \(2p^s\cdot 2^k\). (English) Zbl 1414.94938 Finite Fields Appl. 50, 122-137 (2018). MSC: 94B15 94B60 94B05 PDFBibTeX XMLCite \textit{Z. Rajabi} and \textit{K. Khashyarmanesh}, Finite Fields Appl. 50, 122--137 (2018; Zbl 1414.94938) Full Text: DOI
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
Alahmadi, Adel; Güneri, Cem; Özkaya, Buket; Shoaib, Hatoon; Solé, Patrick On self-dual double negacirculant codes. (English) Zbl 1437.94085 Discrete Appl. Math. 222, 205-212 (2017). MSC: 94B05 11T06 94B65 PDFBibTeX XMLCite \textit{A. Alahmadi} et al., Discrete Appl. Math. 222, 205--212 (2017; Zbl 1437.94085) Full Text: DOI arXiv
Rajabi, Zohreh; Khashyarmanesh, Kazem Some cyclic codes from some monomials. (English) Zbl 1394.94953 Appl. Algebra Eng. Commun. Comput. 28, No. 6, 469-495 (2017). MSC: 94B15 94B05 05B50 PDFBibTeX XMLCite \textit{Z. Rajabi} and \textit{K. Khashyarmanesh}, Appl. Algebra Eng. Commun. Comput. 28, No. 6, 469--495 (2017; Zbl 1394.94953) Full Text: DOI
Shi, Minjia; Tang, Jie; Ge, Maorong; Sok, Lin; Solé, Patrick A special class of quasi-cyclic codes. (English) Zbl 1421.94108 Bull. Aust. Math. Soc. 96, No. 3, 513-518 (2017). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{M. Shi} et al., Bull. Aust. Math. Soc. 96, No. 3, 513--518 (2017; Zbl 1421.94108) Full Text: DOI
Sangwisut, Ekkasit; Jitman, Somphong; Udomkavanich, Patanee Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields. (English) Zbl 1418.94086 Adv. Math. Commun. 11, No. 3, 595-613 (2017). MSC: 94B15 11T71 94B05 PDFBibTeX XMLCite \textit{E. Sangwisut} et al., Adv. Math. Commun. 11, No. 3, 595--613 (2017; Zbl 1418.94086) Full Text: DOI arXiv
Liu, Li; Li, Lanqiang; Wang, Liqi; Zhu, Shixin Repeated-root constacyclic codes of length \(n l p^s\). (English) Zbl 1372.94464 Discrete Math. 340, No. 9, 2250-2261 (2017). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{L. Liu} et al., Discrete Math. 340, No. 9, 2250--2261 (2017; Zbl 1372.94464) Full Text: DOI
Batoul, Aicha; Guenda, Kenza; Gulliver, T. Aaron; Aydin, Nuh On isodual cyclic codes over finite chain rings. (English) Zbl 1365.94550 El Hajji, Said (ed.) et al., Codes, cryptology and information security. Second international conference, C2SI 2017, Rabat, Morocco, April 10–12, 2017. Proceedings – in honor of Claude Carlet. Cham: Springer (ISBN 978-3-319-55588-1/pbk; 978-3-319-55589-8/ebook). Lecture Notes in Computer Science 10194, 176-194 (2017). MSC: 94B15 PDFBibTeX XMLCite \textit{A. Batoul} et al., Lect. Notes Comput. Sci. 10194, 176--194 (2017; Zbl 1365.94550) Full Text: DOI
Dinh, Hai Q.; Nguyen, Bac T.; Sriboonchitta, Songsak Constacyclic codes over finite commutative semi-simple rings. (English) Zbl 1392.94940 Finite Fields Appl. 45, 1-18 (2017). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{H. Q. Dinh} et al., Finite Fields Appl. 45, 1--18 (2017; Zbl 1392.94940) Full Text: DOI
Raka, Madhu; Kathuria, Leetika; Goyal, Mokshi \((1-2u^{3})\)-constacyclic codes and quadratic residue codes over \(\mathbb {F}_{p}[u]/\langle u^{4}-u\rangle \). (English) Zbl 1409.94935 Cryptogr. Commun. 9, No. 4, 459-473 (2017). MSC: 94B15 11T71 94B40 PDFBibTeX XMLCite \textit{M. Raka} et al., Cryptogr. Commun. 9, No. 4, 459--473 (2017; Zbl 1409.94935) Full Text: DOI arXiv
Choosuwan, Parinyawat; Jitman, Somphong; Udomkavanich, Patanee Self-dual abelian codes in some nonprincipal ideal group algebras. (English) Zbl 1400.94196 Math. Probl. Eng. 2016, Article ID 9020173, 12 p. (2016). MSC: 94B50 94B15 94B27 PDFBibTeX XMLCite \textit{P. Choosuwan} et al., Math. Probl. Eng. 2016, Article ID 9020173, 12 p. (2016; Zbl 1400.94196) Full Text: DOI arXiv
Boucher, Delphine Construction and number of self-dual skew codes over \(\mathbb{F}_{p^2}\). (English) Zbl 1353.94082 Adv. Math. Commun. 10, No. 4, 765-795 (2016). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{D. Boucher}, Adv. Math. Commun. 10, No. 4, 765--795 (2016; Zbl 1353.94082) Full Text: DOI
Jitman, Somphong; Ling, San; Sangwisut, Ekkasit On self-dual cyclic codes of length \(p^a\) over \(\mathrm{GR}(p^2,s)\). (English) Zbl 1348.94092 Adv. Math. Commun. 10, No. 2, 255-273 (2016). MSC: 94B15 PDFBibTeX XMLCite \textit{S. Jitman} et al., Adv. Math. Commun. 10, No. 2, 255--273 (2016; Zbl 1348.94092) Full Text: DOI arXiv
Liu, Li; Li, Lanqiang; Kai, Xiaoshan; Zhu, Shixin Repeated-root constacyclic codes of length \(3lp^s\) and their dual codes. (English) Zbl 1372.94463 Finite Fields Appl. 42, 269-295 (2016). MSC: 94B15 94B05 11T71 PDFBibTeX XMLCite \textit{L. Liu} et al., Finite Fields Appl. 42, 269--295 (2016; Zbl 1372.94463) Full Text: DOI arXiv
Chen, Bocong; Ling, San; Zhang, Guanghui Enumeration formulas for self-dual cyclic codes. (English) Zbl 1364.94650 Finite Fields Appl. 42, 1-22 (2016). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{B. Chen} et al., Finite Fields Appl. 42, 1--22 (2016; Zbl 1364.94650) Full Text: DOI
Sharma, Anuradha; Rani, Saroj Repeated-root constacyclic codes of length \(4\ell^{m}p^{n}\). (English) Zbl 1344.94096 Finite Fields Appl. 40, 163-200 (2016). MSC: 94B15 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{S. Rani}, Finite Fields Appl. 40, 163--200 (2016; Zbl 1344.94096) Full Text: DOI
Wang, Lisha; Wu, Gaofei Several classes of optimal ternary cyclic codes with minimal distance four. (English) Zbl 1405.94126 Finite Fields Appl. 40, 126-137 (2016). MSC: 94B15 11T71 94B75 PDFBibTeX XMLCite \textit{L. Wang} and \textit{G. Wu}, Finite Fields Appl. 40, 126--137 (2016; Zbl 1405.94126) Full Text: DOI
Shi, Minjia; Zhang, Yiping Quasi-twisted codes with constacyclic constituent codes. (English) Zbl 1339.94090 Finite Fields Appl. 39, 159-178 (2016). MSC: 94B15 94B20 94B60 PDFBibTeX XMLCite \textit{M. Shi} and \textit{Y. Zhang}, Finite Fields Appl. 39, 159--178 (2016; Zbl 1339.94090) Full Text: DOI
Shi, Meiyan; Li, Ping Some results on quasi-twisted codes over \(\mathbb {F}_2[u]/\left( u^{k+1}\right) \). (English) Zbl 1357.94095 J. Appl. Math. Comput. 50, No. 1-2, 483-491 (2016). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{M. Shi} and \textit{P. Li}, J. Appl. Math. Comput. 50, No. 1--2, 483--491 (2016; Zbl 1357.94095) Full Text: DOI
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei; Wang, Liqi Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\). (English) Zbl 1338.94103 Finite Fields Appl. 37, 108-130 (2016). MSC: 94B15 PDFBibTeX XMLCite \textit{B. Chen} et al., Finite Fields Appl. 37, 108--130 (2016; Zbl 1338.94103) Full Text: DOI
Sangwisut, Ekkasit; Jitman, Somphong; Ling, San; Udomkavanich, Patanee Hulls of cyclic and negacyclic codes over finite fields. (English) Zbl 1368.94163 Finite Fields Appl. 33, 232-257 (2015). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{E. Sangwisut} et al., Finite Fields Appl. 33, 232--257 (2015; Zbl 1368.94163) Full Text: DOI
Chen, Bocong; Dinh, Hai Q.; Liu, Hongwei Repeated-root constacyclic codes of length \(2 \ell^m p^n\). (English) Zbl 1368.11133 Finite Fields Appl. 33, 137-159 (2015). MSC: 94B15 11T71 94B05 PDFBibTeX XMLCite \textit{B. Chen} et al., Finite Fields Appl. 33, 137--159 (2015; Zbl 1368.11133) Full Text: DOI arXiv
Qian, Kaiyan; Zhu, Shixin; Kai, Xiaoshan On cyclic self-orthogonal codes over \(\mathbb{Z}_{2^m}\). (English) Zbl 1368.94161 Finite Fields Appl. 33, 53-65 (2015). MSC: 94B05 94B60 PDFBibTeX XMLCite \textit{K. Qian} et al., Finite Fields Appl. 33, 53--65 (2015; Zbl 1368.94161) Full Text: DOI
Batoul, Aicha; Guenda, Kenza; Kaya, Abidin; Yıldız, Bahattin Cyclic isodual and formally self-dual codes over \(\mathbb F_q+\nu\mathbb F_q\). (English) Zbl 1389.94107 Eur. J. Pure Appl. Math. 8, No. 1, 64-80 (2015). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{A. Batoul} et al., Eur. J. Pure Appl. Math. 8, No. 1, 64--80 (2015; Zbl 1389.94107) Full Text: Link
Raka, Madhu A class of constacyclic codes over a finite field. II. (English) Zbl 1346.94151 Indian J. Pure Appl. Math. 46, No. 6, 809-825 (2015). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{M. Raka}, Indian J. Pure Appl. Math. 46, No. 6, 809--825 (2015; Zbl 1346.94151) Full Text: DOI
Sahni, Amita; Sehgal, Poonam Trama Enumeration of self-dual and self-orthogonal negacyclic codes over finite fields. (English) Zbl 1366.94611 Adv. Math. Commun. 9, No. 4, 437-447 (2015). MSC: 94B05 94B15 11T71 PDFBibTeX XMLCite \textit{A. Sahni} and \textit{P. T. Sehgal}, Adv. Math. Commun. 9, No. 4, 437--447 (2015; Zbl 1366.94611) Full Text: DOI
Sharma, Anuradha Repeated-root constacyclic codes of length \(\ell^{t}p^{s}\) and their dual codes. (English) Zbl 1344.94095 Cryptogr. Commun. 7, No. 2, 229-255 (2015). MSC: 94B15 PDFBibTeX XMLCite \textit{A. Sharma}, Cryptogr. Commun. 7, No. 2, 229--255 (2015; Zbl 1344.94095) Full Text: DOI
Boucher, Delphine A note on the existence of self-dual skew codes over finite fields. (English) Zbl 1441.94107 El Hajji, Said (ed.) et al., Codes, cryptology, and information security. First international conference, C2SI 2015, Rabat, Morocco, May 26–28, 2015. Proceedings – in honor of Thierry Berger. Cham: Springer. Lect. Notes Comput. Sci. 9084, 228-239 (2015). MSC: 94B25 PDFBibTeX XMLCite \textit{D. Boucher}, Lect. Notes Comput. Sci. 9084, 228--239 (2015; Zbl 1441.94107) Full Text: DOI HAL
Batoul, Aicha; Guenda, Kenza; Gulliver, T. Aaron Repeated-root isodual cyclic codes over finite fields. (English) Zbl 1328.94090 El Hajji, Said (ed.) et al., Codes, cryptology, and information security. First international conference, C2SI 2015, Rabat, Morocco, May 26–28, 2015. Proceedings – in honor of Thierry Berger. Cham: Springer (ISBN 978-3-319-18680-1/pbk; 978-3-319-18681-8/ebook). Lecture Notes in Computer Science 9084, 119-132 (2015). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{A. Batoul} et al., Lect. Notes Comput. Sci. 9084, 119--132 (2015; Zbl 1328.94090) Full Text: DOI arXiv
Gao, Jian; Fu, Fang-Wei Note on quasi-twisted codes and an application. (English) Zbl 1332.94099 J. Appl. Math. Comput. 47, No. 1-2, 487-506 (2015). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{J. Gao} and \textit{F.-W. Fu}, J. Appl. Math. Comput. 47, No. 1--2, 487--506 (2015; Zbl 1332.94099) Full Text: DOI
Lin, Liren; Liu, Hongwei; Chen, Bocong Existence conditions for self-orthogonal negacyclic codes over finite fields. (English) Zbl 1331.94075 Adv. Math. Commun. 9, No. 1, 1-7 (2015). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{L. Lin} et al., Adv. Math. Commun. 9, No. 1, 1--7 (2015; Zbl 1331.94075) Full Text: DOI
Yang, Yiansheng; Cai, Wenchao On self-dual constacyclic codes over finite fields. (English) Zbl 1331.94072 Des. Codes Cryptography 74, No. 2, 355-364 (2015). MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{W. Cai}, Des. Codes Cryptography 74, No. 2, 355--364 (2015; Zbl 1331.94072) Full Text: DOI
Chen, Bocong; Dinh, Hai Quang; Liu, Hongwei Repeated-root constacyclic codes of length \(\ell p^s\) and their duals. (English) Zbl 1325.94156 Discrete Appl. Math. 177, 60-70 (2014). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{B. Chen} et al., Discrete Appl. Math. 177, 60--70 (2014; Zbl 1325.94156) Full Text: DOI
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu Optimal ternary cyclic codes with minimum distance four and five. (English) Zbl 1354.94067 Finite Fields Appl. 30, 100-120 (2014). MSC: 94B15 PDFBibTeX XMLCite \textit{N. Li} et al., Finite Fields Appl. 30, 100--120 (2014; Zbl 1354.94067) Full Text: DOI arXiv
Chen, Bocong; Liu, Hongwei; Zhang, Guanghui Some minimal cyclic codes over finite fields. (English) Zbl 1306.94113 Discrete Math. 331, 142-150 (2014). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{B. Chen} et al., Discrete Math. 331, 142--150 (2014; Zbl 1306.94113) Full Text: DOI
Batoul, Aicha; Guenda, Kenza; Gulliver, T. Aaron On self-dual cyclic codes over finite chain rings. (English) Zbl 1323.94164 Des. Codes Cryptography 70, No. 3, 347-358 (2014). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{A. Batoul} et al., Des. Codes Cryptography 70, No. 3, 347--358 (2014; Zbl 1323.94164) Full Text: DOI arXiv
Boucher, Delphine; Ulmer, Felix Self-dual skew codes and factorization of skew polynomials. (English) Zbl 1332.94103 J. Symb. Comput. 60, 47-61 (2014). MSC: 94B15 11T71 PDFBibTeX XMLCite \textit{D. Boucher} and \textit{F. Ulmer}, J. Symb. Comput. 60, 47--61 (2014; Zbl 1332.94103) Full Text: DOI HAL
Ding, Cunsheng; Zhou, Zhengchun Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\). (English) Zbl 1339.94088 Discrete Math. 321, 76-89 (2014). MSC: 94B15 94B25 11T06 11T71 PDFBibTeX XMLCite \textit{C. Ding} and \textit{Z. Zhou}, Discrete Math. 321, 76--89 (2014; Zbl 1339.94088) Full Text: DOI arXiv
Liu, Yuhua; Li, Yuling; Xiong, Naixue; Park, Jong Hyuk; Lee, Yang Sun The incentive secure mechanism based on quality of service in P2P network. (English) Zbl 1198.94157 Comput. Math. Appl. 60, No. 2, 224-233 (2010). MSC: 94A62 90B18 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 60, No. 2, 224--233 (2010; Zbl 1198.94157) Full Text: DOI