Lenstra

Results: 153



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71Number theory / Triangle geometry / Elliptic curves / Lenstra elliptic curve factorization / Pythagorean triple / Analytic number theory / Group theory / Mathematics

DOI: [removed]auom[removed]An. S ¸ t. Univ. Ovidius Constant ¸a Vol. 22(2),2014, 79–90

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Source URL: www.anstuocmath.ro

Language: English - Date: 2014-04-14 09:34:04
72Lattice points / Computational number theory / Abstract algebra / Lattice problem / Lattice reduction / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Learning with errors / Lattice / Projection / Mathematics / Cryptography / Algebra

On the concrete hardness of Learning with Errors Martin R. Albrecht1 , Rachel Player1 , and Sam Scott1 Information Security Group, Royal Holloway, University of London Abstract. The Learning with Errors (LWE) problem has

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Source URL: eprint.iacr.org

Language: English - Date: 2015-01-19 12:06:15
73Lattice points / Linear algebra / Computational number theory / Homomorphic encryption / Orthogonality / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Lattice / Private information retrieval / Paillier cryptosystem / Cryptography / Algebra / Mathematics

Cryptanalysis of a (Somewhat) Additively Homomorphic Encryption Scheme Used in PIR Tancrède Lepoint1 and Mehdi Tibouchi2 2 1

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Source URL: eprint.iacr.org

Language: English - Date: 2015-01-09 03:49:32
74Lattice points / Computational number theory / Matrix theory / Abstract algebra / Lattice problem / Lattice / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Vector space / Matrix / Algebra / Mathematics / Linear algebra

Non-Abelian Analogs of Lattice Rounding Evgeni Begelfor Department of Computer Science The Hebrew University of Jerusalem [removed] Stephen D. Miller∗

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Source URL: eprint.iacr.org

Language: English - Date: 2015-01-11 23:40:13
75Lattice theory / Lie groups / Algebraic structures / Quadratic forms / Lattice / Modular lattice / Unimodular lattice / Symbol / Congruence lattice problem / Abstract algebra / Algebra / Mathematics

LATTICES WITH SYMMETRY H. W. LENSTRA, JR. AND A. SILVERBERG Abstract. For large ranks, there is no good algorithm that decides whether a given lattice has an orthonormal basis. But when the lattice is given with enough s

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Source URL: eprint.iacr.org

Language: English - Date: 2014-12-31 12:23:03
76Computational number theory / Abstract algebra / Cryptography / Lattice reduction / Linear algebra / Lattice problem / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Crystallography / Lattice / Mathematics / Lattice points / Algebra

BKZ 2.0: Better Lattice Security Estimates Yuanmi Chen and Phong Q. Nguyen 1 2

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Source URL: www.iacr.org

Language: English - Date: 2014-01-05 23:20:01
77Lattice points / Cryptography / Computational number theory / Vectors / Lattice problem / Lattice-based cryptography / Lattice / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Algorithm / Algebra / Mathematics / Linear algebra

Lattice Enumeration using Extreme Pruning Nicolas Gama1 , Phong Q. Nguyen2 , and Oded Regev3 1 GREYC and ENSICAEN, France. INRIA and ENS, France. http://www.di.ens.fr/~pnguyen/.

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Source URL: www.iacr.org

Language: English - Date: 2012-07-19 15:34:39
78Analytic number theory / Finite fields / Modular forms / Elliptic curves / Modular arithmetic / Prime number / Lenstra elliptic curve factorization / Hessian form of an elliptic curve / Abstract algebra / Mathematics / Group theory

Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents

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Source URL: www.nsa.gov

Language: English - Date: 2010-11-08 09:26:06
79Integer factorization algorithms / AT&T / RSA Factoring Challenge / Bell Labs / Arjen / Cryptography / Lenstra / Telcordia Technologies / Alcatel-Lucent USA / Bell System / Alcatel-Lucent / Arjen Lenstra

Cryptographic Hash Workshop

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Source URL: csrc.nist.gov

Language: English - Date: 2012-06-20 09:48:14
80Computational number theory / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Classical cipher / Mathematics / Mathematical analysis / Abstract algebra

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Source URL: www.ctc.gov.kw

Language: English - Date: 2014-07-17 03:44:40
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