Contents
Preface vii
On the fourth moment of theta functions at their central point
Amadou D. Barry, Stephane
´
R. Louboutin 1
On the construction of Galois towers
Alp Bassa, Peter Beelen 9
Codes defined by forms of degree 2 on quadric varieties in
P4(Fq
)
Fr´
ed
´
eric A. B. Edoukou 21
Curves of genus 2 with elliptic differentials and associated Hurwitz spaces
Gerhard Frey, Ernst Kani 33
A note on the Giulietti-Korchmaros maximal curve
Arnaldo Garcia 83
Subclose families, threshold graphs, and the weight hierarchy of Grassmann
and Schubert codes
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai 87
Characteristic polynomials of automorphisms of hyperelliptic curves
Robert M. Guralnick, Everett W. Howe 101
Breaking the Akiyama-Goto cryptosystem
Petar Ivanov,
Jos´
e Felipe Voloch 113
Hyperelliptic curves, L-polynomials, and random matrices
Kiran S. Kedlaya, Andrew V. Sutherland 119
On special finite fields
Florian Luca, Igor E. Shparlinski 163
Borne sur le degr´ e des polynˆ omes presque parfaitement non-lin´eaires
Franc ¸ois Rodier 169
How to use finite fields for problems concerning infinite fields
Jean-Pierre Serre 183
On the generalizations of the Brauer-Siegel theorem
Alexey Zykin 195
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