Algorithmic arithmetic, geometry, and coding theory : 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 3-7 2013, CIRM Marseille, France / [electronic resource]
Stephane Ballet, Marc Perret, Alexey Zaytsev, editors.
- 1 online resource (pages cm.)
- Contemporary mathematics, v. 637 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
On products and powers of linear codes under componentwise multiplication / Higher weights of affine Grassmann codes and their duals / The geometry of efficient arithmetic on elliptic curves / 2-2-2 isogenies between Jacobians of hyperelliptic curves / Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians / A point counting algorithm for cyclic covers of the projective line / Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb / 2 \mathbb $ using Monsky-Washnitzer Cohomology / Wiman's and Edge's sextic attaining Serre's bound II / Genetics of polynomials over local fields / Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters / Smooth Embeddings for the Suzuki and Ree Curves / Uniform distribution of zeroes of $L$-functions of modular forms / A survey on class field theory for varieties / Hugues Randriambololona -- Mrinmoy Datta and Sudhir R. Ghorpade -- David Kohel -- Ivan Boyer -- Benjamin Smith -- C�ecile Gon�calves -- Yih-Dar Shieh -- Motoko Qiu Kawakita -- Jordi Gu�ardia and Enric Nart -- Ekaterina Alekseenko and Alexey Zaytsev -- Abdulla Eid and Iwan Duursma -- Alexey Zykin -- Alexander Schmidt -- http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12749 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12750 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12751 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12752 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12753 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12754 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12757 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12758 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12767 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12760 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12763 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12762 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12765
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
Coding theory--Congresses.
Geometry, Algebraic--Congresses.
Cryptography--Congresses.
Number theory--Congresses.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over finite and local fields.
Number theory -- Geometry of numbers -- Relations with coding theory.
Number theory -- Computational number theory -- Algorithms; complexity.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields.
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves.
Algebraic geometry -- Computational aspects in algebraic geometry -- Higher-dimensional varieties.
Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Geometric methods (including applications of algebraic geometry).
QA268 / .I57 2013
510
Includes bibliographical references.
On products and powers of linear codes under componentwise multiplication / Higher weights of affine Grassmann codes and their duals / The geometry of efficient arithmetic on elliptic curves / 2-2-2 isogenies between Jacobians of hyperelliptic curves / Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians / A point counting algorithm for cyclic covers of the projective line / Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb / 2 \mathbb $ using Monsky-Washnitzer Cohomology / Wiman's and Edge's sextic attaining Serre's bound II / Genetics of polynomials over local fields / Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters / Smooth Embeddings for the Suzuki and Ree Curves / Uniform distribution of zeroes of $L$-functions of modular forms / A survey on class field theory for varieties / Hugues Randriambololona -- Mrinmoy Datta and Sudhir R. Ghorpade -- David Kohel -- Ivan Boyer -- Benjamin Smith -- C�ecile Gon�calves -- Yih-Dar Shieh -- Motoko Qiu Kawakita -- Jordi Gu�ardia and Enric Nart -- Ekaterina Alekseenko and Alexey Zaytsev -- Abdulla Eid and Iwan Duursma -- Alexey Zykin -- Alexander Schmidt -- http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12749 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12750 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12751 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12752 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12753 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12754 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12757 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12758 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12767 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12760 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12763 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12762 http://www.ams.org/conm/637/ http://dx.doi.org/10.1090/conm/637/12765
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
Coding theory--Congresses.
Geometry, Algebraic--Congresses.
Cryptography--Congresses.
Number theory--Congresses.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields.
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over finite and local fields.
Number theory -- Geometry of numbers -- Relations with coding theory.
Number theory -- Computational number theory -- Algorithms; complexity.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points.
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields.
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves.
Algebraic geometry -- Computational aspects in algebraic geometry -- Higher-dimensional varieties.
Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Geometric methods (including applications of algebraic geometry).
QA268 / .I57 2013
510