Aubry, Yves; Berardini, Elena; Herbaut, Fabien; Perret, Marc Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces. (English) Zbl 1497.14043 Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 11-28 (2021). MSC: 14G50 14G15 14J20 94B27 PDFBibTeX XMLCite \textit{Y. Aubry} et al., Contemp. Math. 770, 11--28 (2021; Zbl 1497.14043) Full Text: DOI arXiv
Aubry, Yves; Berardini, Elena; Herbaut, Fabien; Perret, Marc Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus. (English) Zbl 1456.14056 Finite Fields Appl. 70, Article ID 101791, 21 p. (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14K05 14G50 94B27 PDFBibTeX XMLCite \textit{Y. Aubry} et al., Finite Fields Appl. 70, Article ID 101791, 21 p. (2021; Zbl 1456.14056) Full Text: DOI arXiv
Aubry, Yves; Herbaut, Fabien; Voloch, José Felipe Maximal differential uniformity polynomials. (English) Zbl 1441.11295 Acta Arith. 188, No. 4, 345-366 (2019). MSC: 11T06 11T71 14G50 PDFBibTeX XMLCite \textit{Y. Aubry} et al., Acta Arith. 188, No. 4, 345--366 (2019; Zbl 1441.11295) Full Text: DOI arXiv
Aubry, Yves (ed.); Howe, Everett W. (ed.); Ritzenthaler, Christophe (ed.) Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. (English) Zbl 1410.11003 Contemporary Mathematics 722. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4212-5/pbk; 978-1-4704-5104-2/ebook). vi, 175 p. (2019). MSC: 11-06 11Gxx 11T71 14H40 14G40 00B25 PDFBibTeX XMLCite \textit{Y. Aubry} (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19--23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1410.11003) Full Text: DOI
Aubry, Yves; Herbaut, Fabien Differential uniformity and second order derivatives for generic polynomials. (English) Zbl 1388.14077 J. Pure Appl. Algebra 222, No. 5, 1095-1110 (2018). Reviewer: Diana Maimut (Bucharest) MSC: 14G50 11T71 94A60 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{F. Herbaut}, J. Pure Appl. Algebra 222, No. 5, 1095--1110 (2018; Zbl 1388.14077) Full Text: DOI arXiv
Aubry, Yves; Castryck, Wouter; Ghorpade, Sudhir R.; Lachaud, Gilles; O’Sullivan, Michael E.; Ram, Samrith Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory. (English) Zbl 1415.14010 Howe, Everett W. (ed.) et al., Algebraic geometry for coding theory and cryptography, IPAM, Los Angeles, CA, USA, February 2016. Cham: Springer. Assoc. Women Math. Ser. 9, 25-61 (2017). MSC: 14G05 14G15 14G50 94B27 PDFBibTeX XMLCite \textit{Y. Aubry} et al., Assoc. Women Math. Ser. 9, 25--61 (2017; Zbl 1415.14010) Full Text: DOI arXiv
Aubry, Yves; Iezzi, Annamaria Optimal and maximal singular curves. (English) Zbl 1372.14020 Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2810-5/pbk; 978-1-4704-3745-9/ebook). Contemporary Mathematics 686, 31-43 (2017). Reviewer: Fernando Torres (Campinas) MSC: 14H20 11G20 14G15 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{A. Iezzi}, Contemp. Math. 686, 31--43 (2017; Zbl 1372.14020) Full Text: DOI arXiv
Aubry, Yves; Haloui, Safia On the number of rational points on Prym varieties over finite fields. (English) Zbl 1353.14039 Glasg. Math. J. 58, No. 1, 55-68 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 14H40 14G15 14K15 11G10 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{S. Haloui}, Glasg. Math. J. 58, No. 1, 55--68 (2016; Zbl 1353.14039) Full Text: DOI arXiv
Aubry, Yves; Iezzi, Annamaria On the maximum number of rational points on singular curves over finite fields. (English) Zbl 1349.14113 Mosc. Math. J. 15, No. 4, 615-627 (2015). MSC: 14H20 11G20 14G15 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{A. Iezzi}, Mosc. Math. J. 15, No. 4, 615--627 (2015; Zbl 1349.14113) Full Text: arXiv Link
Aubry, Yves; Haloui, Safia; Lachaud, Gilles On the number of points on Abelian and Jacobian varieties over finite fields. (English) Zbl 1288.11061 Acta Arith. 160, No. 3, 201-241 (2013). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G10 11G20 11G25 14G10 14G15 PDFBibTeX XMLCite \textit{Y. Aubry} et al., Acta Arith. 160, No. 3, 201--241 (2013; Zbl 1288.11061) Full Text: DOI arXiv
Aubry, Yves; Haloui, Safia; Lachaud, Gilles On the number of points on abelian and Jacobian varieties over finite fields. (Sur le nombre de points rationnels des variétés abéliennes et des jacobiennes sur les corps finis.) (French. English summary) Zbl 1267.14034 C. R., Math., Acad. Sci. Paris 350, No. 19-20, 907-910 (2012). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 14G15 11G10 11G25 PDFBibTeX XMLCite \textit{Y. Aubry} et al., C. R., Math., Acad. Sci. Paris 350, No. 19--20, 907--910 (2012; Zbl 1267.14034) Full Text: DOI arXiv
Aubry, Yves (ed.); Ritzenthaler, Christophe (ed.); Zykin, Alexey (ed.) Arithmetic, geometry, cryptography and coding theory. 13th conference on arithmetic, geometry, cryptography and coding theory, CIRM, Marseille, France, March 14–18, 2011 and Geocrypt 2011, Bastia, France, June 19–24, 2011. Proceedings. (English) Zbl 1248.11004 Contemporary Mathematics 574. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7572-8/pbk; 978-0-8218-9027-1/ebook). vii, 183 p. (2012). MSC: 11-06 14-06 11G10 11G20 11M38 11R42 11T71 14G10 14G15 14G50 14Q05 00B25 PDFBibTeX XMLCite \textit{Y. Aubry} (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 13th conference on arithmetic, geometry, cryptography and coding theory, CIRM, Marseille, France, March 14--18, 2011 and Geocrypt 2011, Bastia, France, June 19--24, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1248.11004) Full Text: DOI
Aubry, Yves; Blache, Régis On some questions related to the Gauss conjecture for function fields. (English) Zbl 1221.11190 J. Number Theory 128, No. 7, 2053-2062 (2008). MSC: 11M38 11R29 11R58 11R11 14H05 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{R. Blache}, J. Number Theory 128, No. 7, 2053--2062 (2008; Zbl 1221.11190) Full Text: DOI
Aubry, Yves (ed.); Lachaud, Gilles (ed.) Arithmetic, geometry and coding theory (AGCT 2003). Selected papers of the European school “Algebraic geometry and information theory” and the 9th international conference “Arithmetic, geometry and coding theory”, Luminy, France, May 19–23, 2003. (English) Zbl 1072.11001 Séminaires et Congrès 11. Paris: Société Mathématique de France (ISBN 2-85629-175-9/pbk). xv, 215 p. (2005). MSC: 11-06 14-06 94-06 00B25 PDFBibTeX XMLCite \textit{Y. Aubry} (ed.) and \textit{G. Lachaud} (ed.), Arithmetic, geometry and coding theory (AGCT 2003). Selected papers of the European school ``Algebraic geometry and information theory'' and the 9th international conference ``Arithmetic, geometry and coding theory'', Luminy, France, May 19--23, 2003. Paris: Société Mathématique de France (2005; Zbl 1072.11001)
Aubry, Yves; Perret, Marc Divisibility of zeta functions of curves in a covering. (English) Zbl 1142.14306 Arch. Math. 82, No. 3, 205-213 (2004). MSC: 14G10 11G20 14G15 14K30 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{M. Perret}, Arch. Math. 82, No. 3, 205--213 (2004; Zbl 1142.14306) Full Text: DOI
Aubry, Yves; Perret, Marc On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields. (English) Zbl 1116.14012 Finite Fields Appl. 10, No. 3, 412-431 (2004). MSC: 14G15 11G20 14H25 14G10 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{M. Perret}, Finite Fields Appl. 10, No. 3, 412--431 (2004; Zbl 1116.14012) Full Text: DOI
Aubry, Yves; Perret, Marc A Weil theorem for singular curves. (English) Zbl 0873.11037 Pellikaan, R. (ed.) et al., Arithmetic, geometry, and coding theory. Proceedings of the international conference held at CIRM, Luminy, France, June 28-July 2, 1993. Berlin: Walter de Gruyter. 1-7 (1996). Reviewer: J.F.Voloch (Austin) MSC: 11G20 14G05 14G10 14H20 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{M. Perret}, in: Arithmetic, geometry, and coding theory. Proceedings of the international conference held at CIRM, Luminy, France, June 28-July 2, 1993. Berlin: Walter de Gruyter. 1--7 (1996; Zbl 0873.11037)
Aubry, Yves; Perret, Marc Coverings of singular curves over finite fields. (English) Zbl 0862.11042 Manuscr. Math. 88, No. 4, 467-478 (1995). Reviewer: Everett W.Howe (San Diego) MSC: 11G20 14H30 14G15 14H20 11T24 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{M. Perret}, Manuscr. Math. 88, No. 4, 467--478 (1995; Zbl 0862.11042) Full Text: DOI EuDML
Aubry, Yves Reed-Muller codes associated to projective algebraic varieties. (English) Zbl 0781.94004 Coding theory and algebraic geometry, Proc. Int. Workshop, Luminy/Fr. 1991, Lect. Notes Math. 1518, 4-17 (1992). MSC: 94B27 14Q15 11T71 14G15 14N10 PDFBibTeX XMLCite \textit{Y. Aubry}, Lect. Notes Math. 1518, 4--17 (1992; Zbl 0781.94004)