Martínez-Bernal, José; Valencia-Bucio, Miguel A.; Villarreal, Rafael H. Hamming polynomial of a demimatroid. (English) Zbl 1518.05036 São Paulo J. Math. Sci. 17, No. 1, 268-299 (2023). MSC: 05B35 05E45 05C31 52B40 13F55 13F20 94B27 94B05 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., São Paulo J. Math. Sci. 17, No. 1, 268--299 (2023; Zbl 1518.05036) Full Text: DOI arXiv
González-Sarabia, Manuel; Muñoz-George, Humberto; Ordaz, Jorge A.; Sáenz-de-Cabezón, Eduardo; Villarreal, Rafael H. Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes. arXiv:2308.13728 Preprint, arXiv:2308.13728 [math.AC] (2023). MSC: 13P25 14G50 94B27 11T71 BibTeX Cite \textit{M. González-Sarabia} et al., ``Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes'', Preprint, arXiv:2308.13728 [math.AC] (2023) Full Text: arXiv OA License
Sarabia, Manuel Gonzalez; Villarreal, Rafael H. Codes parameterized by the edges of a bipartite graph with a perfect matching. arXiv:2209.12846 Preprint, arXiv:2209.12846 [math.CO] (2022). MSC: 14G50 13P25 14G15 11T71 94B27 94B05 BibTeX Cite \textit{M. G. Sarabia} and \textit{R. H. Villarreal}, ``Codes parameterized by the edges of a bipartite graph with a perfect matching'', Preprint, arXiv:2209.12846 [math.CO] (2022) Full Text: arXiv OA License
López, Hiram H.; Soprunov, Ivan; Villarreal, Rafael H. The dual of an evaluation code. (English) Zbl 1469.13057 Des. Codes Cryptography 89, No. 7, 1367-1403 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{H. H. López} et al., Des. Codes Cryptography 89, No. 7, 1367--1403 (2021; Zbl 1469.13057) Full Text: DOI arXiv
Jaramillo, Delio; Vaz Pinto, Maria; Villarreal, Rafael H. Evaluation codes and their basic parameters. (English) Zbl 1456.14034 Des. Codes Cryptography 89, No. 2, 269-300 (2021). Reviewer: David Joyner (Annapolis) MSC: 14G50 94B65 13P25 94B27 11T71 PDFBibTeX XMLCite \textit{D. Jaramillo} et al., Des. Codes Cryptography 89, No. 2, 269--300 (2021; Zbl 1456.14034) Full Text: DOI arXiv
González-Sarabia, Manuel; Jaramillo, Delio; Villarreal, Rafael H. On the generalized Hamming weights of certain Reed-Muller-type codes. (English) Zbl 1488.13071 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 205-217 (2020). MSC: 13P25 94B27 PDFBibTeX XMLCite \textit{M. González-Sarabia} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 205--217 (2020; Zbl 1488.13071) Full Text: DOI arXiv
Cooper, Susan M.; Seceleanu, Alexandra; Tohăneanu, Ştefan O.; Vaz Pinto, Maria; Villarreal, Rafael H. Generalized minimum distance functions and algebraic invariants of Geramita ideals. (English) Zbl 1428.13048 Adv. Appl. Math. 112, Article ID 101940, 34 p. (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{S. M. Cooper} et al., Adv. Appl. Math. 112, Article ID 101940, 34 p. (2020; Zbl 1428.13048) Full Text: DOI arXiv
González-Sarabia, Manuel; Martínez-Bernal, José; Villarreal, Rafael H.; Vivares, Carlos E. Generalized minimum distance functions. (English) Zbl 1430.13049 J. Algebr. Comb. 50, No. 3, 317-346 (2019). Reviewer: Felipe Zaldívar (Mexico City) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{M. González-Sarabia} et al., J. Algebr. Comb. 50, No. 3, 317--346 (2019; Zbl 1430.13049) Full Text: DOI arXiv
Tochimani, A.; Villarreal, R. H. Vanishing ideals over finite fields. (English) Zbl 1420.14112 Math. Notes 105, No. 3, 429-438 (2019). MSC: 14M10 11T71 13F20 13P10 14G15 94B27 PDFBibTeX XMLCite \textit{A. Tochimani} and \textit{R. H. Villarreal}, Math. Notes 105, No. 3, 429--438 (2019; Zbl 1420.14112) Full Text: DOI arXiv
Martínez-Bernal, José; Pitones, Yuriko; Villarreal, Rafael H. Minimum distance functions of graded ideals and Reed-Muller-type codes. (English) Zbl 1352.13016 J. Pure Appl. Algebra 221, No. 2, 251-275 (2017). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 13P25 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., J. Pure Appl. Algebra 221, No. 2, 251--275 (2017; Zbl 1352.13016) Full Text: DOI arXiv
Tochimani, Azucena; Vaz Pinto, Maria; Villarreal, Rafael H. Direct products in projective Segre codes. (English) Zbl 1391.13059 Finite Fields Appl. 39, 96-110 (2016). Reviewer: Diego Ruano (Aalborg) MSC: 13P25 94B27 11T71 14N05 15A78 14G50 PDFBibTeX XMLCite \textit{A. Tochimani} et al., Finite Fields Appl. 39, 96--110 (2016; Zbl 1391.13059) Full Text: DOI arXiv
Neves, Jorge; Pinto, Maria Vaz; Villarreal, Rafael H. Vanishing ideals over graphs and even cycles. (English) Zbl 1314.13050 Commun. Algebra 43, No. 3, 1050-1075 (2015). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 13P25 14G50 14G15 94B27 PDFBibTeX XMLCite \textit{J. Neves} et al., Commun. Algebra 43, No. 3, 1050--1075 (2015; Zbl 1314.13050) Full Text: DOI arXiv
López, Hiram H.; Rentería-Márquez, Carlos; Villarreal, Rafael H. Affine Cartesian codes. (English) Zbl 1312.94118 Des. Codes Cryptography 71, No. 1, 5-19 (2014). Reviewer: Marco Calderini (Povo) MSC: 94B27 94B25 13P25 14G50 PDFBibTeX XMLCite \textit{H. H. López} et al., Des. Codes Cryptography 71, No. 1, 5--19 (2014; Zbl 1312.94118) Full Text: DOI arXiv
López, Hiram H.; Sarmiento, Eliseo; Vaz Pinto, Maria; Villarreal, Rafael H. Parameterized affine codes. (English) Zbl 1289.13022 Stud. Sci. Math. Hung. 49, No. 3, 406-418 (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 13P25 14G50 14G15 11T71 94B27 94B05 PDFBibTeX XMLCite \textit{H. H. López} et al., Stud. Sci. Math. Hung. 49, No. 3, 406--418 (2012; Zbl 1289.13022) Full Text: DOI arXiv
Sarmiento, Eliseo; Vaz Pinto, Maria; Villarreal, Rafael H. The minimum distance of parameterized codes on projective tori. (English) Zbl 1271.13054 Appl. Algebra Eng. Commun. Comput. 22, No. 4, 249-264 (2011). Reviewer: Luis David Garcia Puente (Huntsville) MSC: 13P25 14G50 14G15 11T71 94B27 94B05 PDFBibTeX XMLCite \textit{E. Sarmiento} et al., Appl. Algebra Eng. Commun. Comput. 22, No. 4, 249--264 (2011; Zbl 1271.13054) Full Text: DOI arXiv
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H. Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. (English) Zbl 1209.13037 Finite Fields Appl. 17, No. 1, 81-104 (2011). Reviewer: Guillermo Morales-Luna (Mexico) MSC: 13P25 14G50 14G15 11T71 94B27 94B05 PDFBibTeX XMLCite \textit{C. Rentería-Márquez} et al., Finite Fields Appl. 17, No. 1, 81--104 (2011; Zbl 1209.13037) Full Text: DOI arXiv