Zeng, Xiangdi; Zhang, Yaozong; Gao, Jian Linear codes from defining sets over \(\mathbb{F}_p + u\mathbb{F}_p\) and their applications. (English) Zbl 07784434 Comput. Appl. Math. 43, No. 1, Paper No. 13, 30 p. (2024). MSC: 94B05 PDFBibTeX XMLCite \textit{X. Zeng} et al., Comput. Appl. Math. 43, No. 1, Paper No. 13, 30 p. (2024; Zbl 07784434) Full Text: DOI
Scotti, Martin On the lower bound for the length of minimal codes. (English) Zbl 07756943 Discrete Math. 347, No. 1, Article ID 113676, 10 p. (2024). MSC: 94Bxx 51Exx 05Bxx PDFBibTeX XMLCite \textit{M. Scotti}, Discrete Math. 347, No. 1, Article ID 113676, 10 p. (2024; Zbl 07756943) Full Text: DOI arXiv
Gao, Jian; Zhang, Yaozong; Meng, Xiangrui; Fu, Fang-Wei Minimal linear codes from defining sets over \(\mathbb{F}_p + u \mathbb{F}_p\). (English) Zbl 1521.94075 Discrete Math. 346, No. 10, Article ID 113584, 18 p. (2023). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{J. Gao} et al., Discrete Math. 346, No. 10, Article ID 113584, 18 p. (2023; Zbl 1521.94075) Full Text: DOI
Bartoli, Daniele; Denaux, Lins Minimal codewords arising from the incidence of points and hyperplanes in projective spaces. (English) Zbl 1525.94061 Adv. Math. Commun. 17, No. 1, 56-77 (2023). Reviewer: Luca Giuzzi (Brescia) MSC: 94B05 05B25 94A62 51E20 PDFBibTeX XMLCite \textit{D. Bartoli} and \textit{L. Denaux}, Adv. Math. Commun. 17, No. 1, 56--77 (2023; Zbl 1525.94061) Full Text: DOI arXiv
Du, Xiaoni; Jin, Wengang; Mesnager, Sihem Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights. (English) Zbl 1520.94114 Des. Codes Cryptography 91, No. 6, 2273-2307 (2023). MSC: 94D10 11T71 PDFBibTeX XMLCite \textit{X. Du} et al., Des. Codes Cryptography 91, No. 6, 2273--2307 (2023; Zbl 1520.94114) Full Text: DOI
Gao, Jian; Meng, Xiangrui; Fu, Fang-Wei Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\). (English) Zbl 1522.94123 Finite Fields Appl. 88, Article ID 102181, 42 p. (2023). MSC: 94B15 94B05 PDFBibTeX XMLCite \textit{J. Gao} et al., Finite Fields Appl. 88, Article ID 102181, 42 p. (2023; Zbl 1522.94123) Full Text: DOI
Bartoli, Daniele; Borello, Martino Small strong blocking sets by concatenation. (English) Zbl 1519.51005 SIAM J. Discrete Math. 37, No. 1, 65-82 (2023). Reviewer: Norbert Knarr (Stuttgart) MSC: 51E21 94B05 PDFBibTeX XMLCite \textit{D. Bartoli} and \textit{M. Borello}, SIAM J. Discrete Math. 37, No. 1, 65--82 (2023; Zbl 1519.51005) Full Text: DOI arXiv
Bonini, Matteo; Lia, Stefano; Timpanella, Marco Minimal linear codes from Hermitian varieties and quadrics. (English) Zbl 1520.94083 Appl. Algebra Eng. Commun. Comput. 34, No. 2, 201-210 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94B05 94A62 51E21 PDFBibTeX XMLCite \textit{M. Bonini} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 2, 201--210 (2023; Zbl 1520.94083) Full Text: DOI
Wu, Xia; Lu, Wei; Cao, Xiwang Minimal linear codes constructed from functions. (English) Zbl 1501.94099 Cryptogr. Commun. 14, No. 4, 875-895 (2022). Reviewer: Nikolay Yankov (Shumen) MSC: 94B05 94A62 PDFBibTeX XMLCite \textit{X. Wu} et al., Cryptogr. Commun. 14, No. 4, 875--895 (2022; Zbl 1501.94099) Full Text: DOI arXiv
Pan, Yang Three-weight minimal linear codes. (English) Zbl 1501.94096 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1823-1838 (2022). Reviewer: P. Shakila Banu (Erode) MSC: 94B05 94D10 PDFBibTeX XMLCite \textit{Y. Pan}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1823--1838 (2022; Zbl 1501.94096) Full Text: DOI
Zhang, Fengrong; Pasalic, Enes; Rodríguez, René; Wei, Yongzhuang Minimal binary linear codes: a general framework based on bent concatenation. (English) Zbl 1512.94152 Des. Codes Cryptography 90, No. 5, 1289-1318 (2022). Reviewer: Alessandro Neri (Ghent) MSC: 94B05 94D10 06E30 PDFBibTeX XMLCite \textit{F. Zhang} et al., Des. Codes Cryptography 90, No. 5, 1289--1318 (2022; Zbl 1512.94152) Full Text: DOI
Alfarano, Gianira N.; Borello, Martino; Neri, Alessandro; Ravagnani, Alberto Three combinatorial perspectives on minimal codes. (English) Zbl 1506.94088 SIAM J. Discrete Math. 36, No. 1, 461-489 (2022). Reviewer: Francesco Pavese (Bari) MSC: 94B05 51E21 51E20 PDFBibTeX XMLCite \textit{G. N. Alfarano} et al., SIAM J. Discrete Math. 36, No. 1, 461--489 (2022; Zbl 1506.94088) Full Text: DOI arXiv
Alfarano, Gianira N.; Borello, Martino; Neri, Alessandro A geometric characterization of minimal codes and their asymptotic performance. (English) Zbl 1482.51005 Adv. Math. Commun. 16, No. 1, 115-133 (2022). Reviewer: Steven T. Dougherty (Scranton) MSC: 51E21 51E20 94B05 PDFBibTeX XMLCite \textit{G. N. Alfarano} et al., Adv. Math. Commun. 16, No. 1, 115--133 (2022; Zbl 1482.51005) Full Text: DOI arXiv
Ding, Jian; Lin, Changlu; Mesnager, Sihem Secret sharing schemes based on the dual of Golay codes. (English) Zbl 1491.94083 Cryptogr. Commun. 13, No. 6, 1025-1041 (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 94B05 94A62 94D10 PDFBibTeX XMLCite \textit{J. Ding} et al., Cryptogr. Commun. 13, No. 6, 1025--1041 (2021; Zbl 1491.94083) Full Text: DOI
Pasalic, Enes; Rodríguez, René; Zhang, Fengrong; Wei, Yongzhuang Several classes of minimal binary linear codes violating the Ashikhmin-Barg bound. (English) Zbl 1492.94205 Cryptogr. Commun. 13, No. 5, 637-659 (2021). MSC: 94B05 94B65 PDFBibTeX XMLCite \textit{E. Pasalic} et al., Cryptogr. Commun. 13, No. 5, 637--659 (2021; Zbl 1492.94205) Full Text: DOI
Bartoli, Daniele; Bonini, Matteo; Güneş, Burçin An inductive construction of minimal codes. (English) Zbl 1496.94080 Cryptogr. Commun. 13, No. 3, 439-449 (2021). Reviewer: Nikolay Yankov (Shumen) MSC: 94B05 94A62 PDFBibTeX XMLCite \textit{D. Bartoli} et al., Cryptogr. Commun. 13, No. 3, 439--449 (2021; Zbl 1496.94080) Full Text: DOI arXiv
Chauhan, Varsha; Sharma, Anuradha Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents. (English) Zbl 1484.94023 Finite Fields Appl. 76, Article ID 101910, 50 p. (2021). Reviewer: José Martínez-Bernal (Ciudad de México) MSC: 94B05 94B15 PDFBibTeX XMLCite \textit{V. Chauhan} and \textit{A. Sharma}, Finite Fields Appl. 76, Article ID 101910, 50 p. (2021; Zbl 1484.94023) Full Text: DOI
Cheng, Yingjie; Cao, Xiwang Linear codes with few weights from weakly regular plateaued functions. (English) Zbl 1484.94024 Discrete Math. 344, No. 12, Article ID 112597, 16 p. (2021). MSC: 94B05 94D10 11T71 PDFBibTeX XMLCite \textit{Y. Cheng} and \textit{X. Cao}, Discrete Math. 344, No. 12, Article ID 112597, 16 p. (2021; Zbl 1484.94024) Full Text: DOI
Chauhan, Varsha; Sharma, Anuradha; Sharma, Sandeep; Yadav, Monika Hamming weight distributions of multi-twisted codes over finite fields. (English) Zbl 1476.94046 Des. Codes Cryptography 89, No. 8, 1787-1837 (2021). MSC: 94B15 PDFBibTeX XMLCite \textit{V. Chauhan} et al., Des. Codes Cryptography 89, No. 8, 1787--1837 (2021; Zbl 1476.94046) Full Text: DOI
Hyun, Jong Yoon; Kim, Jaeseon Construction of two- or three-weight binary linear codes from Vasil’ev codes. (English) Zbl 1495.94108 J. Korean Math. Soc. 58, No. 1, 29-44 (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{J. Y. Hyun} and \textit{J. Kim}, J. Korean Math. Soc. 58, No. 1, 29--44 (2021; Zbl 1495.94108) Full Text: DOI
Hyun, Jong Yoon; Kim, Boran; Na, Minwon Construction of minimal linear codes from multi-variable functions. (English) Zbl 1464.94071 Adv. Math. Commun. 15, No. 2, 227-240 (2021). MSC: 94B05 94A60 PDFBibTeX XMLCite \textit{J. Y. Hyun} et al., Adv. Math. Commun. 15, No. 2, 227--240 (2021; Zbl 1464.94071) Full Text: DOI
Ru, Hongming; Tang, Chunming; Qi, Yanfeng; Deng, Yuxiao A construction of \(p\)-ary linear codes with two or three weights. (English) Zbl 1465.94115 Adv. Math. Commun. 15, No. 1, 9-22 (2021). MSC: 94B05 11T71 11T23 PDFBibTeX XMLCite \textit{H. Ru} et al., Adv. Math. Commun. 15, No. 1, 9--22 (2021; Zbl 1465.94115) Full Text: DOI
Lu, Wei; Wu, Xia; Cao, Xiwang The parameters of minimal linear codes. (English) Zbl 1468.94431 Finite Fields Appl. 71, Article ID 101799, 11 p. (2021). MSC: 94B05 PDFBibTeX XMLCite \textit{W. Lu} et al., Finite Fields Appl. 71, Article ID 101799, 11 p. (2021; Zbl 1468.94431) Full Text: DOI arXiv
Bartoli, Daniele; Bonini, Matteo; Timpanella, Marco On the weight distribution of some minimal codes. (English) Zbl 1460.94080 Des. Codes Cryptography 89, No. 3, 471-487 (2021). Reviewer: Nikolay Yankov (Shumen) MSC: 94B05 94A62 51E21 PDFBibTeX XMLCite \textit{D. Bartoli} et al., Des. Codes Cryptography 89, No. 3, 471--487 (2021; Zbl 1460.94080) Full Text: DOI arXiv
Hyun, Jong Yoon; Kim, Hyun Kwang; Wu, Yansheng; Yue, Qin Optimal minimal linear codes from posets. (English) Zbl 1478.94124 Des. Codes Cryptography 88, No. 12, 2475-2492 (2020). MSC: 94B05 06A11 06E30 PDFBibTeX XMLCite \textit{J. Y. Hyun} et al., Des. Codes Cryptography 88, No. 12, 2475--2492 (2020; Zbl 1478.94124) Full Text: DOI arXiv
Xu, Guangkui; Qu, Longjiang; Cao, Xiwang Minimal linear codes from Maiorana-McFarland functions. (English) Zbl 1469.94148 Finite Fields Appl. 65, Article ID 101688, 18 p. (2020). MSC: 94B05 94A62 94C11 PDFBibTeX XMLCite \textit{G. Xu} et al., Finite Fields Appl. 65, Article ID 101688, 18 p. (2020; Zbl 1469.94148) Full Text: DOI
Chatouh, Karima; Guenda, Kenza; Gulliver, T. Aaron New classes of codes over \(R_{q,p,m}=\mathbb{Z}_{p^m}[u_1, u_2, \dots , u_q]/ \langle u_i^2=0,u_iu_j=u_ju_i\rangle\) and their applications. (English) Zbl 1449.94076 Comput. Appl. Math. 39, No. 3, Paper No. 152, 19 p. (2020). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{K. Chatouh} et al., Comput. Appl. Math. 39, No. 3, Paper No. 152, 19 p. (2020; Zbl 1449.94076) Full Text: DOI
Li, Xia; Yue, Qin Four classes of minimal binary linear codes with \(w_{\mathrm{min}}/w_{\mathrm{max}}<1/2\) derived from Boolean functions. (English) Zbl 1439.11295 Des. Codes Cryptography 88, No. 2, 257-271 (2020). MSC: 11T71 94D10 94B05 PDFBibTeX XMLCite \textit{X. Li} and \textit{Q. Yue}, Des. Codes Cryptography 88, No. 2, 257--271 (2020; Zbl 1439.11295) Full Text: DOI
Makhlouf, Sassia; Noui, Lemnouar Characterization of some minimal codes for secret sharing. (English) Zbl 1432.94152 Asian-Eur. J. Math. 12, No. 2, Article ID 1950026, 9 p. (2019). MSC: 94A62 94B05 PDFBibTeX XMLCite \textit{S. Makhlouf} and \textit{L. Noui}, Asian-Eur. J. Math. 12, No. 2, Article ID 1950026, 9 p. (2019; Zbl 1432.94152) Full Text: DOI
Hyun, Jong Yoon; Kim, Hyun Kwang; Na, Minwon Optimal non-projective linear codes constructed from down-sets. (English) Zbl 1431.94153 Discrete Appl. Math. 254, 135-145 (2019). MSC: 94B05 11T71 94A62 PDFBibTeX XMLCite \textit{J. Y. Hyun} et al., Discrete Appl. Math. 254, 135--145 (2019; Zbl 1431.94153) Full Text: DOI
Heng, Ziling; Ding, Cunsheng; Zhou, Zhengchun Minimal linear codes over finite fields. (English) Zbl 1401.94262 Finite Fields Appl. 54, 176-196 (2018). MSC: 94B05 94B65 PDFBibTeX XMLCite \textit{Z. Heng} et al., Finite Fields Appl. 54, 176--196 (2018; Zbl 1401.94262) Full Text: DOI arXiv
Chang, Seunghwan; Hyun, Jong Yoon Linear codes from simplicial complexes. (English) Zbl 1408.94978 Des. Codes Cryptography 86, No. 10, 2167-2181 (2018). MSC: 94B05 94A62 94C10 PDFBibTeX XMLCite \textit{S. Chang} and \textit{J. Y. Hyun}, Des. Codes Cryptography 86, No. 10, 2167--2181 (2018; Zbl 1408.94978) Full Text: DOI
Mesnager, Sihem Linear codes with few weights from weakly regular bent functions based on a generic construction. (English) Zbl 1351.94079 Cryptogr. Commun. 9, No. 1, 71-84 (2017). MSC: 94B05 94A60 PDFBibTeX XMLCite \textit{S. Mesnager}, Cryptogr. Commun. 9, No. 1, 71--84 (2017; Zbl 1351.94079) Full Text: DOI
Liu, Zihui; Wu, Xin-Wen The fullrank value function. (English) Zbl 1405.94110 Des. Codes Cryptography 81, No. 2, 297-315 (2016). MSC: 94B05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X.-W. Wu}, Des. Codes Cryptography 81, No. 2, 297--315 (2016; Zbl 1405.94110) Full Text: DOI
Cohen, Gérard; Mesnager, Sihem; Randriam, Hugues Yet another variation on minimal linear codes. (English) Zbl 1352.94089 Adv. Math. Commun. 10, No. 1, 53-61 (2016). MSC: 94B25 94B27 05D40 PDFBibTeX XMLCite \textit{G. Cohen} et al., Adv. Math. Commun. 10, No. 1, 53--61 (2016; Zbl 1352.94089) Full Text: DOI
Cohen, Gérard; Mesnager, Sihem Variations on minimal linear codes. (English) Zbl 1398.94211 Pinto, Raquel (ed.) et al., Coding theory and applications. 4th international castle meeting, ICMCTA, Palmela Castle, Portugal, September 15–18, 2014. Cham: Springer (ISBN 978-3-319-17295-8/hbk; 978-3-319-17296-5/ebook). CIM Series in Mathematical Sciences 3, 125-131 (2015). MSC: 94B05 PDFBibTeX XMLCite \textit{G. Cohen} and \textit{S. Mesnager}, CIM Ser. Math. Sci 3, 125--131 (2015; Zbl 1398.94211) Full Text: DOI