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Elliptic curve
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61	Efficient arithmetic on elliptic curves in characteristic 2 David Kohel Institut de Math´ematiques de Luminy Universit´e d’Aix-Marseille 163, avenue de Luminy, Case 907 Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2012-10-26 16:31:31 Abstract algebra Algebra Geometry Elliptic curves Algebraic varieties Elliptic curve cryptography Analytic number theory Elliptic curve Group theory Projective variety Weil pairing Divisor
62	Indifferentiable Hashing to Elliptic and Hyperelliptic Curves Mehdi Tibouchi NTT Secure Platform Laboratories ECC Workshop 2013, 2013–09–17 Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English - Date: 2013-10-09 09:45:18 Hashing Information retrieval Cryptography Information science Search algorithms Elliptic curves Error detection and correction Analytic number theory Elliptic curve Supersingular elliptic curve Hash function BonehLynnShacham
63	Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008 Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2014-09-16 07:00:22 Algebra Abstract algebra Geometry Abelian varieties Algebraic surfaces Analytic number theory Algebraic curves Group theory Humbert surface Modular form Elliptic curve Shimura variety
64	SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look at the last digit,” with the idea of cheaply pulling out possible factors of Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2007-11-23 17:17:47 Mathematics Integer factorization algorithms Number theory Quadratic sieve Special number field sieve Quadratic residue General number field sieve Prime number Lenstra elliptic curve factorization Sieve of Eratosthenes Euclidean algorithm Prime-counting function
65	TOPICS IN ABSOLUTE ANABELIAN GEOMETRY II: DECOMPOSITION GROUPS AND ENDOMORPHISMS Shinichi Mochizuki October 2013 Abstract. The present paper, which forms the second part of a three-part series Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2013-10-08 08:11:48 Algebra Mathematics Abstract algebra Algebraic geometry Scheme theory Analytic number theory Anabelian geometry tale fundamental group Log structure Shinichi Mochizuki Exponentiation Elliptic curve
66	The Weierstrass subgroup of a curve has maximal rank. Martine Girard, David R. Kohel and Christophe Ritzenthaler ∗†‡ Abstract We show that the Weierstrass points of the generic curve of genus g over an algebraical Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2005-04-05 00:17:59 Algebraic geometry Mathematical analysis Algebra Algebraic curves Elliptic curve Weierstrass point Hyperelliptic curve Moduli space Kummer surface StoneWeierstrass theorem
67	119 Documenta Math. The Distribution of Group Structures on Elliptic Curves over Finite Prime Fields Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-05-06 08:16:29 Symbol Elliptic curve Biblical criticism Functional analysis Textual variants in the Gospel of Matthew
68	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:17:05 Algebra Mathematics Abstract algebra Operator theory Field theory Analytic number theory Modular forms Algebraic geometry Eigenform Elliptic curve Valuation Algebraic number field
69	Isogenies, Polarisations and Real Multiplication — Journées C2 — La Londe-Les-Maures Gaëtan Bisson, Romain Cosset, Alina Dudeanu, Sorina Ionica, Dimitar Jetchev, David Lubicz, Chloe Martindale, Enea Mili Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2015-12-08 18:46:03 Abstract algebra Algebra Algebraic curves Analytic number theory Elliptic curves Group theory Algebraic surfaces Isogeny Abelian variety Supersingular elliptic curve Localization of a category Supersingular isogeny key exchange
70	Theta functions and applications in cryptography Fonctions thêta et applications en cryptographie Thèse d’informatique Damien Robert1 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2014-08-03 16:15:38 Cryptography Elliptic curve cryptography Public-key cryptography Pairing-based cryptography Finite fields Group theory Hyperelliptic curve cryptography Tate pairing DiffieHellman key exchange BonehLynnShacham Elliptic curve Abelian variety

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