Hyperelliptic curve cryptography

Results: 62



#Item
51Elliptic curve / Kummer surface / Algebraic number field / Hyperelliptic curve / Hyperelliptic curve cryptography / Trace Zero Cryptography / Abstract algebra / Algebraic geometry / Algebraic curves

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
52Niels Henrik Abel / Abelian variety / Elliptic curve / Rational point / Abelian group / Hyperelliptic curve cryptography / Imaginary hyperelliptic curve / Abstract algebra / Algebraic curves / Algebra

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
53Finite 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

The state-of-the-art in hyperelliptic curve cryptography Craig Costello Workshop on Curves and Applications

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Source URL: www.mathtube.org

Language: English - Date: 2013-09-20 13:09:55
54Elliptic 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

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

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Source URL: www.math.brown.edu

Language: English - Date: 2008-03-20 11:42:48
55Post-quantum cryptography / Quantum cryptography / Key size / Quantum computer / NTRU / Digital signature / Elliptic Curve DSA / Cipher / XTR / Cryptography / Public-key cryptography / Key management

Post-Quantum Cryptography Tanja Lange Technische Universiteit Eindhoven [removed] 17 December 2008

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Source URL: hyperelliptic.org

Language: English - Date: 2009-01-22 19:45:07
56Algebraic 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

9th Central European Conference on Cryptography - Tˇ reb´ıˇ c’09

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Source URL: conf.fme.vutbr.cz

Language: English - Date: 2009-05-12 03:20:24
57Czech Republic / Brno / Cryptography / Dukovany / Hyperelliptic curve / Dalešice Dam / Geography of the Czech Republic / Political geography / Třebíč District / Dukovany Nuclear Power Station / Europe

The 9th Central European Conference on Cryptography T ebí [removed]T HIRD & F INAL A NNOUNCEMENT Dear Colleague,

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Source URL: conf.fme.vutbr.cz

Language: English - Date: 2009-05-12 03:22:48
58Public-key cryptography / Elliptic curve / Cryptanalysis / Curve / Cipher / IEEE P1363 / ECC patents / Key size / Cryptography / Finite fields / Elliptic curve cryptography

Security dangers of the NIST curves Daniel J. Bernstein, Tanja Lange

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Source URL: www.hyperelliptic.org

Language: English - Date: 2013-06-08 20:02:29
59Algebraic 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

Fields Institute Communications Volume 00, 0000

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Source URL: www.math.uwaterloo.ca

Language: English - Date: 2008-09-04 06:42:36
60Algebraic curves / Finite fields / Analytic number theory / Cryptography / Algebraic surfaces / Elliptic curve / Hyperelliptic curve / Curve / Abelian variety / Abstract algebra / Algebraic geometry / Geometry

Constructive and Destructive Facets of Weil Descent on Elliptic Curves Nigel Smart, Florian Hess, Pierrick Gaudry

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Source URL: www.hpl.hp.com

Language: English - Date: 2000-01-25 14:42:53
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