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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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The articles of this volume will be reviewed individually. For the preceding conference (12, 2009) and Geocrypt 2009 see Zbl 1194.11012.
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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