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Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa.
- Format:
- Book
- Conference/Event
- Conference Name:
- NATO Advanced Study Institute on Hyperelliptic Curve Cryptography (2014 : Ohrid, Macedonia)
- Series:
- NATO science for peace and security series. Information and communication security ; Sub-series D, Volume 41.
- NATO Science for Peace and Security Series - D: Information and Communication Security, 1879-8292 ; Volume 41
- Language:
- English
- Subjects (All):
- Curves, Elliptic--Congresses.
- Curves, Elliptic.
- Cryptography--Congresses.
- Cryptography.
- Physical Description:
- 1 online resource (387 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Amsterdam, Netherlands : IOS Press, 2015.
- Summary:
- This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014.The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation.
- Contents:
- ""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 applications""; ""Weight 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""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters and index.
- Description based on online resource; title from PDF title page (ebrary, viewed July 28, 2015).
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 1-61499-520-6
- OCLC:
- 914229605
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