Hugues-Verdure
Hugues-Verdure
Department of Mathematics and Statistics hugues.verdure@uit.no +4777644778 Tromsø Forskningsparken 1 B 485

Hugues Verdure


Associate Professor


  • Verdure, Hugues; Moustrou, Philippe; Naumann, Helen; Riener, Cordian; Theobald, Thorsten. Symmetry Reduction in AM/GM-Based Optimization. SIAM Journal on Optimization 2022; Volum 32 (2). ISSN 1052-6234.s 765 - 785.s doi: 10.1137/21M1405691.
  • Johnsen, Trygve; Verdure, Hugues. Möbius and coboundary polynomials for matroids. Designs, Codes and Cryptography 2021; Volum 89 (9). ISSN 0925-1022.s 2163 - 2177.s doi: 10.1007/s10623-021-00906-3.
  • Moustrou, Philippe; Riener, Cordian; Verdure, Hugues. Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations. Journal of symbolic computation 2021; Volum 107. ISSN 0747-7171.s 106 - 121.s doi: 10.1016/j.jsc.2021.02.002.
  • Johnsen, Trygve; Verdure, Hugues. Greedy weights for matroids. Designs, Codes and Cryptography 2020; Volum 89. ISSN 0925-1022.s 387 - 405.s doi: 10.1007/s10623-020-00824-w.
  • Johnsen, Trygve; Verdure, Hugues. Higher weight spectra of codes from Veronese threefolds. Journal of Pure and Applied Algebra 2020; Volum 225 (7). ISSN 0022-4049.s doi: 10.1016/j.jpaa.2020.106609.
  • Johnsen, Trygve; Verdure, Hugues. Higher Weight Spectra of Veronese Codes. IEEE Transactions on Information Theory 2020; Volum 66 (6). ISSN 0018-9448.s 3538 - 3546.s doi: 10.1109/TIT.2019.2948180.
  • Johnsen, Trygve; Verdure, Hugues. Relative profiles and extended weight polynomials of almost affine codes. Cryptography and Communications 2019; Volum 11 (5). ISSN 1936-2447.s 1009 - 1020.s doi: 10.1007/s12095-018-0348-8.
  • Johnsen, Trygve; Verdure, Hugues. Flags of almost affine codes and the two-party wire-tap channel of type II. Designs, Codes and Cryptography 2017. ISSN 0925-1022.s 1 - 16.s doi: 10.1007/s10623-017-0438-1.
  • Johnsen, Trygve; Verdure, Hugues. Relative generalized hamming weights and extended weight polynomials of almost affine codes. Lecture Notes in Computer Science (LNCS) 2017; Volum 10495 LNCS. ISSN 0302-9743.s 207 - 216.s doi: 10.1007/978-3-319-66278-7_17.
  • Johnsen, Trygve; Verdure, Hugues. Generalized Hamming Weights for Almost Affine Codes. IEEE Transactions on Information Theory 2017; Volum 63 (4). ISSN 0018-9448.s 1941 - 1953.s doi: 10.1109/TIT.2017.2654456.
  • Johnsen, Trygve; Roksvold, Jan Nyquist; Verdure, Hugues. A generalization of weight polynomials to matroids. Discrete Mathematics 2016; Volum 339 (2). ISSN 0012-365X.s 632 - 645.s doi: 10.1016/j.disc.2015.10.005.
  • Johnsen, Trygve; Shiromoto, Keisuke; Verdure, Hugues. A generalization of Kung’s theorem. Designs, Codes and Cryptography 2015; Volum 81. ISSN 0925-1022.s 169 - 178.s doi: 10.1007/s10623-015-0139-6.
  • Johnsen, Trygve; Roksvold, Jan Nyquist; Verdure, Hugues. Betti numbers associated to the facet ideal of a matroid. Bulletin of the Brazilian Mathematical Society, New Series 2015; Volum 45 (4). ISSN 1678-7544.s 727 - 744.s doi: 10.1007/s00574-014-0071-9.
  • Johnsen, Trygve; Verdure, Hugues. Stanley-Reisner resolution of constant weight linear codes. Designs, Codes and Cryptography 2014; Volum 72 (2). ISSN 0925-1022.s 471 - 481.s doi: 10.1007/s10623-012-9767-2.
  • Johnsen, Trygve; Verdure, Hugues. Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. Applicable Algebra in Engineering, Communication and Computing 2013; Volum 24 (1). ISSN 0938-1279.s 73 - 93.s doi: 10.1007/s00200-012-0183-7.
  • Verdure, Hugues. Density of rational points on plane curves. Normat 2010; Volum 58 (3). ISSN 0801-3500.s 123 - 135.
  • Verdure, Hugues. A quadratic reciprocity law for elliptic curves. Acta Scientarum Mathematicarum 2009; Volum 75 (3-4). ISSN 0001-6969.s 457 - 465.
  • Verdure, Hugues. Constructing elliptic curves with given Weil pairing. International Journal of Pure and Applied Mathematics 2008; Volum 42 (4). ISSN 1311-8080.s 541 - 548.
  • Verdure, Hugues. Lagrange resolvents and torsion of elliptic curves. International Journal of Pure and Applied Mathematics 2006; Volum 33 (1). ISSN 1311-8080.s 75 - 92.
  • Verdure, Hugues. Lagrange resolvents and torsion of elliptic curves. International Journal of Pure and Applied Mathematics 2006; Volum 33 (1). ISSN 1311-8080.s 75 - 92.
  • Verdure, Hugues. A simple criterion for the m-cyclicity of the group of rational points on an elliptic curve defined over a finite field. Archiv der Mathematik 2006; Volum 86. ISSN 0003-889X.s doi: 10.1007/s00013-005-1442-7.
  • Verdure, Hugues. Factorisation patterns of division polynomials. Proceedings of the Japan Academy. Series A Mathematical sciences 2004; Volum 80 (5). ISSN 0386-2194.s 79 - 82.
  • Johnsen, Trygve; Pratihar, Rakhi; Verdure, Hugues. Rank Metric Codes and q-Matroids. Conference on Applied Algebraic Geometry 2021-08-16 - 2021-08-20 2021.
  • Verdure, Hugues; Moustrou, Philippe; Riener, Cordian; Naumann, Helen; Theobald, Thorsten. Symmetries in AM/GM-based optimization. SIAM Conference on Applied Algebraic Geometry (AG21) 2021-08-16 - 2021-08-20 2021.
  • Johnsen, Trygve; Verdure, Hugues. About greedy weights.. CACAAG seminar. 2019-11-15 - 2019-11-18 2019.
  • Verdure, Hugues. Higher weight spectra for Veronese codes. Seminar at Indian Institute of Technology Bombay 2018-12-02 - 2018-12-06 2018.
  • Verdure, Hugues; Johnsen, Trygve. Kung's bound for almost affine codes. Combinatorics 2016 2016-05-29 - 2016-06-04 2016.
  • Roksvold, Jan Nyquist; Verdure, Hugues. The generalized weight polynomial - and how it is determined by Betti-numbers. NORCOM 2013 2013-06-17 - 2013-06-19 2013.
  • Verdure, Hugues. Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. NORCOM 2013 2013-06-17 - 2013-06-19 2013.
  • Verdure, Hugues. Paringer i EKK. Norsk kryptoseminar 2008-10-13 - 2008-10-14 2008.
  • Verdure, Hugues. On finding a criterion for the full torsion of elliptic curves. utenTitteltekst 2007-11-12 - 2007-11-12 2007.
  • Verdure, Hugues. Constructing elliptic curves with given Weil pairing. Fourth International Conference of Applied Mathematics and Computing 2007-08-13 - 2007-08-18 2007.
  • Verdure, Hugues. Kort introduksjon til kryptografi. Prisutdeling for KappAbel vinnere for Finnmark fylke 2006-05-22 - 2006-05-22 2006.
  • Verdure, Hugues. Kort introduksjon til kryptografi. Prisutdeling for vinnere i KappAbel for Nordland fylke 2006-05-24 - 2006-05-24 2006.
  • Verdure, Hugues. Erratum to "Factorisation patterns of division polynomials". Proceedings of the Japan Academy. Series A Mathematical sciences 2006; Volum 82 (7). ISSN 0386-2194.s 111 - 111.
  • Verdure, Hugues. Lagrange resolvents og torsjon av elliptiske kurver. Norsk kryptoseminar 2005-11-07 - 2005-11-08 2005.
  • Verdure, Hugues. Elliptiske kurver og pseudotilfeldige tallgeneratorer. Norsk kryptoseminar 2004-11-08 - 2004-11-09 2004.
  • Verdure, Hugues. Factorisation patterns of division polynomials of elliptic curves defined over a finite field. 2003 ISBN 82-92461-42-6.
  • Verdure, Hugues. Torsjonsundergrupper på elliptiske kurver. Norsk kryptoseminar 2003-11-10 - 2003-11-11 2003.
  • Verdure, Hugues. A quadratic reciprocity law for elliptic curves. NORDAG workshop algebraic geometry 2002-01-01 - 2001.
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    Forskningsparken 1 B 485