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Hyperelliptic curve cryptography
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51	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: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
52	EXHIBITING SHA[2] ON HYPERELLIPTIC JACOBIANS N. BRUIN AND E.V. FLYNN Abstract. We discuss approaches to computing in the Shafarevich-Tate group of Jacobians of higher genus curves, with an emphasis on the theory and prac Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Niels Henrik Abel Abelian variety Elliptic curve Rational point Abelian group Hyperelliptic curve cryptography Imaginary hyperelliptic curve Abstract algebra Algebraic curves Algebra
53	The state-of-the-art in hyperelliptic curve cryptography Craig Costello Workshop on Curves and Applications Add to Reading List Source URL: www.mathtube.org Language: English - Date: 2013-09-20 13:09:55 Finite fields Public-key cryptography Cryptographic protocols Hyperelliptic curve cryptography Hyperelliptic curve Elliptic curve cryptography Diffie–Hellman key exchange Diffie–Hellman problem Abelian variety Cryptography Abstract algebra Algebraic curves
54	References [1] M. Agrawal, N. Kayal, and N. Saxena. PRIMES is in P. Ann. of Math. (2), 160(2):781–793, [removed]L. V. Ahlfors. Complex Analysis. McGraw-Hill Book Co., New York, third edition, 1978. An introduction to Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2008-03-20 11:42:48 Elliptic curves Public-key cryptography Elliptic curve cryptography NTRU Elliptic Curve DSA Lattice problem Counting points on elliptic curves Hyperelliptic curve cryptography Elliptic curve Cryptography Post-quantum cryptography Finite fields
55	Post-Quantum Cryptography Tanja Lange Technische Universiteit Eindhoven [removed] 17 December 2008 Add to Reading List Source URL: hyperelliptic.org Language: English - Date: 2009-01-22 19:45:07 Post-quantum cryptography Quantum cryptography Key size Quantum computer NTRU Digital signature Elliptic Curve DSA Cipher XTR Cryptography Public-key cryptography Key management
56	9th Central European Conference on Cryptography - Tˇ reb´ıˇ c’09 Add to Reading List Source URL: conf.fme.vutbr.cz Language: English - Date: 2009-05-12 03:20:24 Algebraic curves Group theory Cryptography Finite fields Hyperelliptic curve cryptography Public-key cryptography Imaginary hyperelliptic curve Real hyperelliptic curve Elliptic curve cryptography Abstract algebra Algebra Mathematics
57	The 9th Central European Conference on Cryptography T ebí [removed]T HIRD & F INAL A NNOUNCEMENT Dear Colleague, Add to Reading List Source URL: conf.fme.vutbr.cz Language: English - Date: 2009-05-12 03:22:48 Czech Republic Brno Cryptography Dukovany Hyperelliptic curve Dalešice Dam Geography of the Czech Republic Political geography Třebíč District Dukovany Nuclear Power Station Europe
58	Security dangers of the NIST curves Daniel J. Bernstein, Tanja Lange Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2013-06-08 20:02:29 Public-key cryptography Elliptic curve Cryptanalysis Curve Cipher IEEE P1363 ECC patents Key size Cryptography Finite fields Elliptic curve cryptography
59	Fields Institute Communications Volume 00, 0000 Add to Reading List Source URL: www.math.uwaterloo.ca Language: English - Date: 2008-09-04 06:42:36 Algebraic curves Hyperelliptic curve cryptography Euclidean algorithm Ample line bundle Divisor Imaginary hyperelliptic curve Hyperelliptic curve Greatest common divisor Elliptic curve Abstract algebra Algebraic geometry Geometry
60	Constructive and Destructive Facets of Weil Descent on Elliptic Curves Nigel Smart, Florian Hess, Pierrick Gaudry Add to Reading List Source URL: www.hpl.hp.com Language: English - Date: 2000-01-25 14:42:53 Algebraic curves Finite fields Analytic number theory Cryptography Algebraic surfaces Elliptic curve Hyperelliptic curve Curve Abelian variety Abstract algebra Algebraic geometry Geometry