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Full Description
This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathematiques in Marseille, France, from May 18-22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.
Contents
N. Anbar, P. Beelen, and N. Nguyen, The exact limit of some cubic towers
S. Dib and F. Rodier, Error-correction capability of Reed-Muller codes
Y. Aubry and A. Iezzi, Optimal and maximal singular curves
E. Ferard, An infinite class of Kasami functions that are not APN infinitely often
R. Lercier and M. Olive, Covariant algebra of the binary nonic and the binary decimic
S. Ballet, J. Pieltant, M. Rambaud, and J. Sijsling, On some bounds for symmetric tensor rank of multiplication in finite fields
S. Haloui, Codes from Jacobian surfaces
E. Nart and C. Ritzenthaler, A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves
M. Datta and S. R. Ghorpade, Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes
J. P. Hansen, Secret sharing schemes with strong multiplication and a large number of players from toric varieties
V. Vitse, Field extensions and index calculus on algebraic curves.
