Arithmetic, geometry, cryptography and coding theory. Proceedings of the 11th international conference, CIRM, Marseilles, France, November 5–9, 2007. (English) Zbl 1166.11003

Lachaud, Gilles (ed.); Ritzenthaler, Christophe (ed.); Tsfasman, Michael A. (ed.)

Contemporary Mathematics 487. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4716-9/pbk). vii, 206 p. (2009).

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The articles of this volume will be reviewed individually.
Indexed articles:
Barry, Amadou Diogo; Louboutin, Stéphane R., On the fourth moment of theta functions at their central point, 1-7 [Zbl 1266.11089]
Bassa, Alp; Beelen, Peter, On the construction of Galois towers, 9-20 [Zbl 1185.14021]
Edoukou, Frédéric A. B., Codes defined by forms of degree 2 on quadric varieties in \(\mathbb{P}^4(\mathbb{F}_q)\), 21-32 [Zbl 1185.94091]
Frey, Gerhard; Kani, Ernst, Curves of genus 2 with elliptic differentials and associated Hurwitz spaces, 33-81 [Zbl 1198.14024]
Garcia, Arnaldo, A note on the Giulietti-Korchmaros maximal curve, 83-85 [Zbl 1256.11038]
Ghorpade, Sudhir R.; Patil, Arunkumar R.; Pillai, Harish K., Subclose families, threshold graphs, and the weight hierarchy of Grassman and Schubert codes, 87-99 [Zbl 1185.94087]
Guralnick, Robert M.; Howe, Everett W., Characteristic polynomials of automorphisms of hyperelliptic curves, 101-111 [Zbl 1184.14047]
Ivanov, Petar; Voloch, José Felipe, Breaking the Akiyama-Goto cryptosystem, 113-118 [Zbl 1187.94025]
Kedlaya, Kiran S.; Sutherland, Andrew V., Hyperelliptic curves, \(L\)-polynomials, and random matrices, 119-162 [Zbl 1233.11074]
Luca, Florian; Shparlinski, Igor E., On special finite fields, 163-167 [Zbl 1245.11076]
Rodier, François, Bound on the degree of almost perfect nonlinear polynomials, 169-181 [Zbl 1257.94033]
Serre, Jean-Pierre, How to use finite fields for problems concerning infinite fields, 183-193 [Zbl 1199.14007]
Zykin, Alexey, On the generalizations of the Brauer-Siegel theorem, 195-206 [Zbl 1256.11064]

MSC:

11-06	Proceedings, conferences, collections, etc. pertaining to number theory
14-06	Proceedings, conferences, collections, etc. pertaining to algebraic geometry
94-06	Proceedings, conferences, collections, etc. pertaining to information and communication theory
00B25	Proceedings of conferences of miscellaneous specific interest
11Gxx	Arithmetic algebraic geometry (Diophantine geometry)
11Txx	Finite fields and commutative rings (number-theoretic aspects)
14G50	Applications to coding theory and cryptography of arithmetic geometry
94A60	Cryptography
94Bxx	Theory of error-correcting codes and error-detecting codes