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Hyperelliptic curve cryptography
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41	The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2009-07-20 09:53:46 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
42	ON THE IMPLEMENTATION OF PAIRING-BASED CRYPTOSYSTEMS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF COMPUTER SCIENCE AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2015-02-08 21:22:14 Pairing Weil pairing BLS Elliptic curve Digital signature Hyperelliptic curve XDH assumption Paulo S. L. M. Barreto Cryptography Abstract algebra Algebra
43	Relating the ECDLP to Other Curves Mark Bauer University of Calgary Department of Mathematics & Statistics Centre for Information Security and Cryptography Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-11-15 13:19:55 Finite fields Analysis of algorithms Asymptotic analysis Cryptography Analytic number theory Elliptic curve Ample line bundle Big O notation Hyperelliptic curve cryptography Abstract algebra Mathematics Mathematical analysis
44	. Variants of the Montgomery form based on Theta functions Pierrick Gaudry [removed] Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-11-15 13:29:11 Analytic number theory Elliptic curve Group theory Hyperelliptic curve cryptography Elliptic curve cryptography Cryptography Abstract algebra Elliptic curves
45	Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves Pradeep Kumar Mishra and Palash Sarkar Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute, Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Finite fields Computational complexity theory Elliptic curve cryptography Elliptic curves Elliptic curve Hyperelliptic curve cryptography Multiplication Time complexity Matrix Abstract algebra Mathematics Cryptography
46	Towards an exact cost analysis of index-calculus algorithms ECC 2006 Nicolas Thériault [removed] Fields Institute Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-09-22 13:16:31 Cryptography Elliptic curves Logarithms Discrete logarithm Hyperelliptic curve Hyperelliptic curve cryptography Counting points on elliptic curves Abstract algebra Finite fields Group theory
47	Slide 1 [removed]Slide 1 Add to Reading List Source URL: ec.europa.eu Language: English - Date: 2013-06-06 03:19:35 Finite fields Niels Henrik Abel Elliptic curve cryptography Elliptic curve RSA Abelian group Quantum computer Hyperelliptic curve cryptography XTR Cryptography Abstract algebra Public-key cryptography
48	Sage Reference Manual: Elliptic and Plane Curves Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:21 Algebraic curves Elliptic curve cryptography Elliptic curves Analytic number theory Elliptic curve Group theory Hyperelliptic curve Curve Projective space Geometry Abstract algebra Algebraic geometry
49	PDF Document Add to Reading List Source URL: www.dtc.umn.edu Language: English - Date: 2012-07-03 09:59:40 Finite fields Group theory Logarithms Computational hardness assumptions Cryptography Index calculus algorithm Discrete logarithm Hyperelliptic curve cryptography XTR Abstract algebra Mathematics Algebra
50	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: www.algant.eu Language: English - Date: 2014-07-04 05:58:52 Elliptic curves Abelian varieties Algebraic curves Number theory Semistable abelian variety Finite field Lenstra elliptic curve factorization Hyperelliptic curve cryptography Abstract algebra Algebraic geometry Diophantine geometry