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Hyperelliptic curve cryptography
Results: 62

#	Item
21	E-th roots and static Diffie-Hellman using index calculus Antoine Joux1 Joint work with Reynald Lercier2 , David Naccache3 , Emmanuel Thome´ 4 Elliptic Curve Cryptography 2008 Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-04 13:47:14 Cryptography Abstract algebra Algebra Finite fields Public-key cryptography Computational hardness assumptions Group theory DiffieHellman key exchange Index calculus algorithm RSA Discrete logarithm Elliptic curve cryptography
22	Constructing abelian varieties for cryptographic use Peter Stevenhagen ECC, Utrecht September 22, 2008 Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-10-05 20:16:07 Abstract algebra Algebra Cryptography Elliptic curves Elliptic curve cryptography Group theory Finite fields Public-key cryptography Elliptic curve Abelian variety Complex multiplication Index calculus algorithm
23	R. van Bommel Almost all hyperelliptic Jacobians have a bad semi-abelian prime Master’s thesis, 23 June 2014 Supervisor: dr. D. Holmes Add to Reading List Source URL: algant.eu Language: English - Date: 2014-07-04 06:58:52 Abstract algebra Algebraic geometry Algebra Elliptic curves Diophantine geometry Abelian varieties Semistable abelian variety Algebraic curves Lenstra elliptic curve factorization Hyperelliptic curve cryptography
24	The discrete logarithm problem on elliptic curves of trace one Add to Reading List Source URL: www.hpl.hp.com Language: English - Date: 2008-12-18 13:50:00 Elliptic curves Finite fields Group theory Logarithms Analytic number theory Elliptic curve Supersingular elliptic curve Elliptic curve cryptography Hyperelliptic curve cryptography Abstract algebra Mathematics Cryptography
25	Sage Reference Manual: Plane curves Release 6.7 The Sage Development Team June 24, 2015 Add to Reading List Source URL: doc.sagemath.org Language: English - Date: 2015-06-24 05:21:38 Algebraic curves Analytic number theory Projective geometry Elliptic curve cryptography Elliptic curves Elliptic curve Hyperelliptic curve Projective space Curve Geometry Abstract algebra Algebraic geometry
26	Polynomial arithmetic and applications in number theory David Harvey September 26, 2008 Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2011-07-17 23:06:27 Field theory Polynomials Hyperelliptic curve Elliptic curve Number theory Finite field Prime number Field Hyperelliptic curve cryptography Abstract algebra Mathematics Algebra
27	Counting points on hyperelliptic curves David Harvey University of New South Wales 19th November 2012, CARMA, University of Newcastle Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-11-18 17:20:36 Algebraic curves Group theory Finite fields Vector bundles Hyperelliptic curve Elliptic curve Ample line bundle Curve Hyperelliptic curve cryptography Abstract algebra Geometry Algebraic geometry
28	Fast hashing to G2 on pairing friendly curves Michael Scott, Naomi Benger, Manuel Charlemagne, Luis J. Dominguez Perez, and Ezekiel J. Kachisa School of Computing Dublin City University Ballymun, Dublin 9, Ireland. Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2008-12-18 11:36:28 Mathematics Supersingular elliptic curve Hyperelliptic curve cryptography Curve Hessian form of an elliptic curve Classical modular curve Abstract algebra Elliptic curves Cryptography
29	Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack without Isogeny Condition Tsutomu Iijima ∗ Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2013-11-21 23:49:35 Algebraic curves Cryptography Hyperelliptic curve Elliptic curve Covering space Abelian variety Ample line bundle Abstract algebra Algebraic geometry Topology
30	ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 3 OVER FINITE FIELDS EUNKYUNG JEONG DEPARTMENT OF MATHEMATICS POHANG UNIVERSITY OF SCIENCE AND TECHNOLOGY POHANG, 790–784, KOREA Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-11-30 23:34:48 Analytic number theory Algebra Elliptic curve Group theory Hyperelliptic curve Curry–Howard correspondence Ordinal number Hyperelliptic curve cryptography Imaginary hyperelliptic curve Abstract algebra Algebraic curves Mathematics