Supersingular elliptic curve

Results: 91



#Item
51Group theory / Elliptic curves / Analytic number theory / Number theory / Prime number / Curve / Frobenius endomorphism / Supersingular elliptic curve / Counting points on elliptic curves / Abstract algebra / Mathematics / Finite fields

Constructing cryptographic curves with complex multiplication Reinier Br¨ oker Ξ

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2009-05-14 13:40:44
52Analytic number theory / Algebraic number theory / Algebraic curves / Niels Henrik Abel / Group theory / Quaternion algebra / Supersingular elliptic curve / Quaternion / Abelian variety / Abstract algebra / Mathematics / Algebra

FAMILIES OF RAMANUJAN GRAPHS AND QUATERNION ALGEBRAS DENIS X. CHARLES, EYAL Z. GOREN AND KRISTIN E. LAUTER Contents 1. Introduction 2. Quaternion algebras and superspecial points

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Source URL: research.microsoft.com

Language: English - Date: 2007-11-14 22:19:22
53Number theory / Elliptic curves / Algebraic curves / Algebraic number theory / Group theory / Birch and Swinnerton-Dyer conjecture / Supersingular elliptic curve / P-adic number / Galois module / Abstract algebra / Mathematics / Algebra

A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture arXiv:1407.1826v2 [math.NT] 17 Jul[removed]Manjul Bhargava, Christopher Skinner, and Wei Zhang

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Source URL: arxiv.org

Language: English - Date: 2014-07-17 20:38:44
54Mathematics / Boneh/Franklin scheme / Pairing / XTR / Supersingular elliptic curve / Elliptic curve / ID-based encryption / RSA / Weil pairing / Abstract algebra / Cryptography / Algebra

FAULT ATTACKS ON PAIRING-BASED PROTOCOLS REVISITED SANJIT CHATTERJEE, KORAY KARABINA, AND ALFRED MENEZES Abstract. Several papers have studied fault attacks on computing a pairing value e(P, Q), where P is a public point

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Source URL: cacr.uwaterloo.ca

Language: English - Date: 2014-06-20 19:35:34
55Elliptic curves / Cryptography / Group theory / Finite fields / Linear algebra / Elliptic curve cryptography / Pairing / Elliptic curve / Supersingular elliptic curve / Algebra / Abstract algebra / Mathematics

SUBMITTED TO JOURNAL OF 1 Software implementation of an Attribute-Based Encryption scheme

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Source URL: cacr.uwaterloo.ca

Language: English - Date: 2014-05-30 22:32:03
56Isogeny / Dual abelian variety / Undeniable signature / Elliptic curve / Digital signature / Localization of a category / Designated verifier signature / Abstract algebra / Cryptography / Supersingular elliptic curve

Isogeny-based quantum-resistant undeniable signatures David Jao1 and Vladimir Soukharev2 1 Department of Combinatorics and Optimization

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Source URL: cacr.uwaterloo.ca

Language: English - Date: 2014-07-22 11:45:39
57Analytic number theory / Group theory / Supersingular elliptic curve / Graph / Finite fields / Supersingular K3 surface / Homomorphic signatures for network coding / Abstract algebra / Mathematics / Elliptic curves

Cryptographic hash Functions from Expander Graphs

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Source URL: csrc.nist.gov

Language: English - Date: 2012-06-20 09:47:28
58Number theory / Elliptic curves / Algebraic curves / Algebraic number theory / Group theory / Birch and Swinnerton-Dyer conjecture / Supersingular elliptic curve / P-adic number / Galois module / Abstract algebra / Mathematics / Algebra

A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture arXiv:1407.1826v2 [math.NT] 17 Jul[removed]Manjul Bhargava, Christopher Skinner, and Wei Zhang

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Source URL: arxiv.org

Language: English - Date: 2014-07-17 20:38:44
59Analytic number theory / Elliptic curve / Explicit formula / Prime-counting function / Prime number / Supersingular elliptic curve / Logarithm / Supersingular prime / Chebyshev function / Mathematics / Mathematical analysis / Number theory

How explicit is the Explicit Formula? Barry Mazur and William Stein March 21, 2013 (Notes for our 20+20 minute talk at the AMS Special Session on Arithmetic Statistics in San Diego, January 2013)

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Source URL: abel.math.harvard.edu

Language: English - Date: 2013-03-21 16:40:51
60Algebraic curves / Niels Henrik Abel / Abelian varieties / Elliptic curves / Algebraic surfaces / Supersingular prime / Hyperelliptic curve / Abelian group / Supersingular elliptic curve / Abstract algebra / Algebraic geometry / Algebra

ALGANT Erasmus Mundus Joint Doctorate programme[removed]Research project DR

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Source URL: www.algant.eu

Language: English - Date: 2013-11-13 10:29:52
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