Advances on superelliptic curves and their applications /

Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa. - 1 online resource. - NATO science for peace series. D, Information and communication security, vol. 41 1879-8292 ; . - NATO science for peace and security series. Sub-series D, Information and communication security ; v. 41. .

"Proceedings of the NATO Advanced Study Institute on Hyperelliptic Curve Cryptography, Ohrid, Former Yugoslav Republic of Macedonia, 25 August-5 September, 2014"--Title page verso.

Includes bibliographical references and indexes.

Advances on Superelliptic Curves and Their Applications; Preface ; Contents; The case for superelliptic curves; Weierstrass points of superelliptic curves; Theta functions of superelliptic curves; Cyclic curves over the reals; Reduction theory of binary forms; Sato-Tate groups of genus 2 curves; Heights on algebraic curves; Descent and Covering Collections; Chabauty and theMordell-Weil Sieve; Rational points on Jacobians of hyperelliptic curves; Explicit p-adic methods for elliptic and hyperelliptic curves; Error Correcting Quantum Codes and Algebraic Curves Graph based cubical multivariate maps and their cryptographical applicationsWeight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes; Galois geometries, codes, and new invariants for incidence structures; Subject Index; Author Index

9781614995203 1614995206


Curves, Elliptic--Congresses.
Cryptography--Congresses.
MATHEMATICS / Geometry / General
Cryptography.
Curves, Elliptic.
Cryptography -- Congresses.
Curves, Elliptic -- Congresses.


Electronic books.
Conference papers and proceedings.
Electronic books.

QA567.2.E44

516.3/52

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