Algorithmic arithmetic, geometry, and coding theory : 14th International Conference Arithmetic, Geometry, Cryptography, and Coding Theory, June 3-7 2013, CIRM Marseille, France
著者
書誌事項
Algorithmic arithmetic, geometry, and coding theory : 14th International Conference Arithmetic, Geometry, Cryptography, and Coding Theory, June 3-7 2013, CIRM Marseille, France
（Contemporary mathematics, 637）
American Mathematical Society, c2015
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France.
These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and $L$-functions of modular forms.
目次
Geometric error correcting codes: On products and powers of linear codes under componentwise multiplication by H. Randriambololona
Higher weights of affine Grassmann codes and their duals by M. Datta and S. R. Ghorpade
Algorithmic: Special varieties: The geometry of efficient arithmetic on elliptic curves by D. Kohel
2-2-2 isogenies between Jacobians of hyperelliptic curves by I. Boyer
Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians by B. Smith
Algorithmic: Point counting: A point counting algorithm for cyclic covers of the projective line by C. Goncalves
Point counting on non-hyperelliptic genus 3 curves with automorphism group $\mathbb{Z}/2\mathbb{Z}$ using Monsky-Washnitzer cohomology by Y.-D. Shieh
Wiman's and Edge's sextic attaining Serre's bound II by M. Q. Kawakita
Algorithmic: General: Genetics of polynomials over local fields by J. Guardia and E. Nart
Explicit algebraic geometry: Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters by E. Alekseenko and A. Zaytsev
Smooth embeddings for the Suzuki and Ree curves by A. Eid and I. Duursma
Arithmetic geometry: Uniform distribution of zeroes of $L$-functions of modular forms by A. Zykin
A survey on class field theory for varieties by A. Schmidt
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