Algorithmic arithmetic, geometry, and coding theory : [electronic resource] 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, June 3-7 2013, CIRM Marseille, France / Stephane Ballet, Marc Perret, Alexey Zaytsev, editors.
By: (14th : International Conference Arithmetic, Geometry, Cryptography and Coding Theory (14th : 2013 : Marseille, France).
Contributor(s): Ballet, St�ephane [editor.] | Perret, M. (Marc) [editor.] | Zaytsev, Alexey (Alexey I.) [editor.].
Material type:
BookSeries: Contemporary mathematics, v. 637.Publisher: Providence, Rhode Island : American Mathematical Society, 2015Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): 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)Additional physical formats: Algorithmic arithmetic, geometry, and coding theory :DDC classification: 510 Other classification: 11G10 | 11G20 | 11G25 | 11H71 | 11Y16 | 14G05 | 14G15 | 14Q05 | 14Q15 | 94B27 Online resources: Contents | Contents Includes bibliographical references.
On products and powers of linear codes under componentwise multiplication / Hugues Randriambololona -- Higher weights of affine Grassmann codes and their duals / Mrinmoy Datta and Sudhir R. Ghorpade -- The geometry of efficient arithmetic on elliptic curves / David Kohel -- 2-2-2 isogenies between Jacobians of hyperelliptic curves / Ivan Boyer -- Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians / Benjamin Smith -- A point counting algorithm for cyclic covers of the projective line / C�ecile Gon�calves -- Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb {Z} / 2 \mathbb {Z}$ using Monsky-Washnitzer Cohomology / Yih-Dar Shieh -- Wiman's and Edge's sextic attaining Serre's bound II / Motoko Qiu Kawakita -- Genetics of polynomials over local fields / Jordi Gu�ardia and Enric Nart -- Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters / Ekaterina Alekseenko and Alexey Zaytsev -- Smooth Embeddings for the Suzuki and Ree Curves / Abdulla Eid and Iwan Duursma -- Uniform distribution of zeroes of $L$-functions of modular forms / Alexey Zykin -- A survey on class field theory for varieties / Alexander Schmidt --
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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