La Scala, Roberto; Polese, Sergio; Tiwari, Sharwan K.; Visconti, Andrea An algebraic attack to the Bluetooth stream cipher E0. (English) Zbl 1500.94035 Finite Fields Appl. 84, Article ID 102102, 29 p. (2022). MSC: 94A60 11T71 12H10 13P10 PDFBibTeX XMLCite \textit{R. La Scala} et al., Finite Fields Appl. 84, Article ID 102102, 29 p. (2022; Zbl 1500.94035) Full Text: DOI arXiv
Byszewski, Jakub; Cornelissen, Gunther; Tijsma, Djurre Automata and finite order elements in the Nottingham group. (English) Zbl 1503.11063 J. Algebra 602, 484-554 (2022). Reviewer: Thomas B. Ward (Durham) MSC: 11B85 11G20 11S31 11Y16 20E45 20F10 68Q70 PDFBibTeX XMLCite \textit{J. Byszewski} et al., J. Algebra 602, 484--554 (2022; Zbl 1503.11063) Full Text: DOI arXiv
Kudo, Momonari Computing representation matrices for the action of Frobenius on cohomology groups. (English) Zbl 1473.14046 J. Symb. Comput. 109, 441-464 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14G17 11G20 11Y40 PDFBibTeX XMLCite \textit{M. Kudo}, J. Symb. Comput. 109, 441--464 (2022; Zbl 1473.14046) Full Text: DOI arXiv
Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard Computing integral bases via localization and Hensel lifting. (English) Zbl 1484.13057 J. Symb. Comput. 109, 283-324 (2022). Reviewer: Kriti Goel (Mumbai) MSC: 13P10 68W30 13B22 11Y40 13-04 14H05 14Q05 PDFBibTeX XMLCite \textit{J. Böhm} et al., J. Symb. Comput. 109, 283--324 (2022; Zbl 1484.13057) Full Text: DOI arXiv
La Scala, Roberto; Tiwari, Sharwan K. Stream/block ciphers, difference equations and algebraic attacks. (English) Zbl 1477.13052 J. Symb. Comput. 109, 177-198 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 13P10 11T71 12H10 PDFBibTeX XMLCite \textit{R. La Scala} and \textit{S. K. Tiwari}, J. Symb. Comput. 109, 177--198 (2022; Zbl 1477.13052) Full Text: DOI arXiv
Viu-Sos, Juan A semi-canonical reduction for periods of Kontsevich-Zagier. (English) Zbl 1467.14040 Int. J. Number Theory 17, No. 1, 147-174 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 14E15 11J81 11Y99 14P10 PDFBibTeX XMLCite \textit{J. Viu-Sos}, Int. J. Number Theory 17, No. 1, 147--174 (2021; Zbl 1467.14040) 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
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 complete intersections. (English) Zbl 1404.13034 J. Algebra Appl. 17, No. 11, Article ID 1850204, 22 p. (2018). Reviewer: Steven T. Dougherty (Scranton) MSC: 13P25 94B60 11T71 PDFBibTeX XMLCite \textit{J. Martínez-Bernal} et al., J. Algebra Appl. 17, No. 11, Article ID 1850204, 22 p. (2018; Zbl 1404.13034) Full Text: DOI arXiv
Pellikaan, Ruud; Wu, Xin-Wen; Bulygin, Stanislav; Jurrius, Relinde Codes, cryptology and curves with computer algebra. (English) Zbl 1416.94003 Cambridge: Cambridge University Press (ISBN 978-0-521-81711-0/hbk; 978-0-521-52036-2/pbk; 978-1-108-54782-6/ebook). xii, 597 p. (2018). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94-01 94Bxx 94A60 94A62 11T71 PDFBibTeX XMLCite \textit{R. Pellikaan} et al., Codes, cryptology and curves with computer algebra. Cambridge: Cambridge University Press (2018; Zbl 1416.94003) Full Text: DOI
Jensen, Anders; Kahle, Thomas; Katthän, Lukas Finding binomials in polynomial ideals. (English) Zbl 1428.13044 Res. Math. Sci. 4, Paper No. 16, 10 p. (2017). MSC: 13P05 11R04 11Y16 11Y40 14T15 68W30 PDFBibTeX XMLCite \textit{A. Jensen} et al., Res. Math. Sci. 4, Paper No. 16, 10 p. (2017; Zbl 1428.13044) Full Text: DOI arXiv
Böhm, Janko Foundations of algebra and number theory. (Grundlagen der Algebra und Zahlentheorie.) (German) Zbl 1388.00004 Springer-Lehrbuch. Heidelberg: Springer Spektrum (ISBN 978-3-662-45228-8/pbk; 978-3-662-45229-5/ebook). xxiii, 347 p. (2016). Reviewer: Helmut Maier (Ulm) MSC: 00A05 11-01 12-01 20-01 13-01 68W30 PDFBibTeX XMLCite \textit{J. Böhm}, Grundlagen der Algebra und Zahlentheorie. Heidelberg: Springer Spektrum (2016; Zbl 1388.00004) Full Text: DOI
Marcolla, Chiara; Pellegrini, Marco; Sala, Massimiliano On the small-weight codewords of some Hermitian codes. (English) Zbl 1332.94101 J. Symb. Comput. 73, 27-45 (2016). MSC: 94B05 11T71 51E15 PDFBibTeX XMLCite \textit{C. Marcolla} et al., J. Symb. Comput. 73, 27--45 (2016; Zbl 1332.94101) Full Text: DOI
Ma, Yue; Wang, Chu; Zhi, Lihong A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals. (English) Zbl 1444.13036 J. Symb. Comput. 72, 1-20 (2016). MSC: 13P10 11T71 13P15 68W30 90C22 PDFBibTeX XMLCite \textit{Y. Ma} et al., J. Symb. Comput. 72, 1--20 (2016; Zbl 1444.13036) Full Text: DOI arXiv
Neves, Jorge; Vaz Pinto, Maria; Villarreal, Rafael H. Regularity and algebraic properties of certain lattice ideals. (English) Zbl 1309.13027 Bull. Braz. Math. Soc. (N.S.) 45, No. 4, 777-806 (2014). MSC: 13F20 13P25 14H45 11T71 PDFBibTeX XMLCite \textit{J. Neves} et al., Bull. Braz. Math. Soc. (N.S.) 45, No. 4, 777--806 (2014; Zbl 1309.13027) Full Text: DOI arXiv
Galindo, C.; Monserrat, F. Evaluation codes defined by finite families of plane valuations at infinity. (English) Zbl 1314.94111 Des. Codes Cryptography 70, No. 1-2, 189-213 (2014). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94B27 11T71 13A18 14G50 PDFBibTeX XMLCite \textit{C. Galindo} and \textit{F. Monserrat}, Des. Codes Cryptography 70, No. 1--2, 189--213 (2014; Zbl 1314.94111) Full Text: DOI Link
Vaz Pinto, Maria; Villarreal, Rafael H. The degree and regularity of vanishing ideals of algebraic toric sets over finite fields. (English) Zbl 1286.13022 Commun. Algebra 41, No. 9, 3376-3396 (2013). Reviewer: Yonglin Cao (Zibo) MSC: 13F20 13P10 11T71 94B25 PDFBibTeX XMLCite \textit{M. Vaz Pinto} and \textit{R. H. Villarreal}, Commun. Algebra 41, No. 9, 3376--3396 (2013; Zbl 1286.13022) Full Text: DOI arXiv
López, Hiram H.; Villarreal, Rafael H.; Zárate, Leticia Complete intersection vanishing ideals on degenerate tori over finite fields. (English) Zbl 1270.13016 Arab. J. Math. 2, No. 2, 189-197 (2013). MSC: 13F20 13P25 14H45 11T71 94B25 PDFBibTeX XMLCite \textit{H. H. López} et al., Arab. J. Math. 2, No. 2, 189--197 (2013; Zbl 1270.13016) Full Text: DOI arXiv
Joyner, David; Kim, Jon-Lark Selected unsolved problems in coding theory. (English) Zbl 1239.94001 Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser (ISBN 978-0-8176-8255-2/hbk; 978-0-8176-8256-9/ebook). xi, 200 p. (2011). Reviewer: Carlos Munuera (Valladolid) MSC: 94-02 94B05 94B27 11T71 14G50 PDFBibTeX XMLCite \textit{D. Joyner} and \textit{J.-L. Kim}, Selected unsolved problems in coding theory. Boston, MA: Birkhäuser (2011; Zbl 1239.94001) Full Text: DOI
Eröcal, Burçin; Stein, William The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. (English) Zbl 1295.68225 Fukuda, Komei (ed.) et al., Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). Lecture Notes in Computer Science 6327, 12-27 (2010). MSC: 68W30 65Y15 68U35 PDFBibTeX XMLCite \textit{B. Eröcal} and \textit{W. Stein}, Lect. Notes Comput. Sci. 6327, 12--27 (2010; Zbl 1295.68225) Full Text: DOI
Gao, Shuhong; Wan, Daqing; Wang, Mingsheng Primary decomposition of zero-dimensional ideals over finite fields. (English) Zbl 1200.13045 Math. Comput. 78, No. 265, 509-521 (2009). MSC: 13P10 68W30 11Y16 12Y05 13P05 PDFBibTeX XMLCite \textit{S. Gao} et al., Math. Comput. 78, No. 265, 509--521 (2009; Zbl 1200.13045) Full Text: DOI
Leonard, Douglas A. A weighted module view of integral closures of affine domains of type I. (English) Zbl 1232.13006 Adv. Math. Commun. 3, No. 1, 1-11 (2009). MSC: 13B22 11T71 94B27 PDFBibTeX XMLCite \textit{D. A. Leonard}, Adv. Math. Commun. 3, No. 1, 1--11 (2009; Zbl 1232.13006) Full Text: DOI
Bivià-Ausina, Carles Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals. (English) Zbl 1168.32022 Math. Z. 262, No. 2, 389-409 (2009). Reviewer: Alexander Esterov (Moscow) MSC: 32S05 13H15 14B05 14M25 52B20 PDFBibTeX XMLCite \textit{C. Bivià-Ausina}, Math. Z. 262, No. 2, 389--409 (2009; Zbl 1168.32022) Full Text: DOI Link
Galindo, Carlos; Monserrat, Francisco \({\delta}\)-sequences and evaluation codes defined by plane valuations at infinity. (English) Zbl 1163.94007 Proc. Lond. Math. Soc. (3) 98, No. 3, 714-740 (2009). Reviewer: David Joyner (Annapolis) MSC: 94B27 14B05 11T71 PDFBibTeX XMLCite \textit{C. Galindo} and \textit{F. Monserrat}, Proc. Lond. Math. Soc. (3) 98, No. 3, 714--740 (2009; Zbl 1163.94007) Full Text: DOI
Chèze, Guillaume; Lecerf, Grégoire Lifting and recombination techniques for absolute factorization. (English) Zbl 1130.12007 J. Complexity 23, No. 3, 380-420 (2007). Reviewer: Michael Pohst (Berlin) MSC: 12Y05 68W30 11Y16 12D05 13P05 PDFBibTeX XMLCite \textit{G. Chèze} and \textit{G. Lecerf}, J. Complexity 23, No. 3, 380--420 (2007; Zbl 1130.12007) Full Text: DOI
Fernández de Bobadilla, Javier Answers to some equisingularity questions. (English) Zbl 1082.32019 Invent. Math. 161, No. 3, 657-675 (2005). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 32S15 32S30 32S55 14D06 32S25 PDFBibTeX XMLCite \textit{J. Fernández de Bobadilla}, Invent. Math. 161, No. 3, 657--675 (2005; Zbl 1082.32019) Full Text: DOI
Campillo, A.; Farrán, J. I. Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes. (English) Zbl 1015.14032 Math. Comput. 71, No. 240, 1759-1780 (2002). Reviewer: Cicero Carvalho (Uberlandia – MG) MSC: 14Q05 14G50 11T71 14H55 94B27 PDFBibTeX XMLCite \textit{A. Campillo} and \textit{J. I. Farrán}, Math. Comput. 71, No. 240, 1759--1780 (2002; Zbl 1015.14032) Full Text: DOI
Matzat, B. Heinrich (ed.); Greuel, Gert-Martin (ed.); Hiss, Gerhard (ed.) Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. (English) Zbl 0903.00035 Berlin: Springer. viii, 434 p. (1999). MSC: 00B25 11-06 14-06 20-06 11Y40 14Q05 20C40 PDFBibTeX XMLCite \textit{B. H. Matzat} (ed.) et al., Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer (1999; Zbl 0903.00035)