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123,50 ۥ The exact limit of some cubic towers8
• Error-correction capability of Reed-Muller codes24
• Optimal and maximal singular curves38
• A infinite class of Kasami functions that are not APN infinitely often52
• Covariant algebra of the binary nonic and the binary decimic72
• On some bounds for symmetric tensor rank of multiplication in finite fields100
• Codes from Jacobian surfaces130
• A new proof of a Thomae-like formulafor non hyperelliptic genus 3 curves144
• Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes164
• Secret sharing schemes with strong multiplication and a large number of players from toric varieties178
• Field extensions and index calculus on algebraic curves194
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 Mathématiques 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.
Authors
• Alp Bassa: Bogazici University, Istanbul, Bebek, Turkey,
• Alain Couvreur: Ecole Polytechnique, Palaiseau, France,
• David Kohel: Aix-Marseille Université, Marseille, France.
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