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).

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Indexed articles:

Arène, Christophe; Cosset, Romain, Construction of a \(\Bbbk\)-complete addition law on Jacobians of hyperelliptic curves of genus two, 1-14 [Zbl 1322.14020]

Blache, Régis, Number of points in an Artin-Schreier covering, 15-26 [Zbl 1352.11056]

Férard, Eric; Oyono, Roger; Rodier, François, Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents, 27-36 [Zbl 1362.11102]

Fukasawa, Satoru; Homma, Masaaki; Kim, Seon Jeong, Rational curves with many rational points over a finite field, 37-48 [Zbl 1317.11059]

Ghorpade, Sudhir R.; Ram, Samrith, Enumeration of splitting subspaces over finite fields, 49-58 [Zbl 1317.11125]

Haloui, Safia; Singh, Vijaykumar, The characteristic polynomials of abelian varieties of dimension 4 over finite fields, 59-68 [Zbl 1329.14055]

Howe, Everett W., New bounds on the maximum number of points on genus-4 curves over small finite fields, 69-86 [Zbl 1317.11064]

Kyureghyan, Gohar M.; Özbudak, Ferruh; Pott, Alexander, Some planar maps and related function fields, 87-114 [Zbl 1362.11104]

Leducq, Elodie, New families of APN functions in characteristic 3 or 5, 115-123 [Zbl 1354.11073]

Lisoněk, Petr, Identities for Kloosterman sums and modular curves, 125-130 [Zbl 1317.11126]

Ostafe, Alina; Shparlinski, Igor, Degree growth, linear independence and periods of a class of rational dynamical systems, 131-143 [Zbl 1317.37113]

Rökaeus, Karl, Computer search for curves with many points among abelian covers of genus 2 curves, 145-150 [Zbl 1317.11006]

Rybakov, Sergey, The groups of points on abelian surfaces over finite fields, 151-158 [Zbl 1317.11068]

Smith, Benjamin, Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method, 159-170 [Zbl 1317.11133]

Zarhin, Yuri G., Hodge classes on certain hyperelliptic Prymians, 171-183 [Zbl 1317.14069]

##### MSC:

11-06 | Proceedings, conferences, collections, etc. pertaining to number theory |

14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |

11G10 | Abelian varieties of dimension \(> 1\) |

11G20 | Curves over finite and local fields |

11M38 | Zeta and \(L\)-functions in characteristic \(p\) |

11R42 | Zeta functions and \(L\)-functions of number fields |

11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |

14G10 | Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) |

14G15 | Finite ground fields in algebraic geometry |

14G50 | Applications to coding theory and cryptography of arithmetic geometry |

14Q05 | Computational aspects of algebraic curves |

00B25 | Proceedings of conferences of miscellaneous specific interest |

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\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)

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