Finite fields

Results: 995



#Item
361Primality tests / Analytic number theory / Finite fields / Analysis of algorithms / Computational complexity theory / AKS primality test / Prime number / Randomized algorithm / Time complexity / Mathematics / Abstract algebra / Theoretical computer science

PRIMES is in P Manindra Agrawal Neeraj Kayal ∗ Nitin Saxena Department of Computer Science & Engineering

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Source URL: math.ucr.edu

Language: English - Date: 2006-05-09 13:08:50
362Finite fields / Computational complexity theory / Diffie–Hellman problem / ElGamal encryption / Universal hashing / Paillier cryptosystem / Diffie–Hellman key exchange / Cramer–Shoup cryptosystem / Index of cryptography articles / Cryptography / Cryptographic protocols / Public-key cryptography

A new security proof for Damg˚ ard’s ElGamal Kristian Gjøsteen March 17, 2005 Abstract

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Source URL: eprint.iacr.org

Language: English - Date: 2005-03-17 15:37:01
363Electronic commerce / Cyberwarfare / Mathematics / Applied mathematics / Implicit certificate / Finite fields / Elliptic Curve DSA / Elliptic curve cryptography / Digital signature / Public-key cryptography / Cryptography / Key management

Security of ECQV-Certified ECDSA Against Passive Adversaries

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Source URL: eprint.iacr.org

Language: English - Date: 2011-03-09 14:11:31
364Group signature / Accumulator / Proof of knowledge / Diffie–Hellman problem / XTR / Diffie–Hellman key exchange / Zero-knowledge proof / Direct Anonymous Attestation / Cryptography / Cryptographic protocols / Finite fields

An Accumulator Based on Bilinear Maps and Efficient Revocation for Anonymous Credentials Jan Camenisch1 , Markulf Kohlweiss2 , and Claudio Soriente3 1 2

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Source URL: eprint.iacr.org

Language: English - Date: 2008-12-22 05:56:52
365Finite fields / Hidden Field Equations / Mathematics / Affine geometry / Affine transformation / Unbalanced Oil and Vinegar / Differential geometry / Multivariate cryptography / Frobenius group / Post-quantum cryptography / Geometry / Abstract algebra

Equivalent Keys in Multivariate Quadratic Public Key Systems Christopher Wolf1,2 , and Bart Preneel1 1 K.U.Leuven, ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium

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Source URL: eprint.iacr.org

Language: English - Date: 2005-12-22 06:53:55
366Mathematics / Cryptography / Group theory / Finite fields / Weil pairing / Elliptic curve / Pairing / Supersingular elliptic curve / Tate pairing / Abstract algebra / Elliptic curves / Algebra

Comparing Implementation Efficiency of Ordinary and Squared Pairings Christine Abegail Antonio1 , Satoru 2 and Ken Nakamula3 Department of Mathematics, Tokyo Metropolitan University Minami-Osawa, Hachioji-shi Tokyo, Japa

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Source URL: eprint.iacr.org

Language: English - Date: 2007-12-07 19:51:10
367Primality tests / Mathematics / Modular arithmetic / Computing / Finite fields / Electronic engineering / Public-key cryptography / Paillier cryptosystem / Accumulator

On the Impossibility of Batch Update for Cryptographic Accumulators Philippe Camacho Dept. of Computer Science, University of Chile, Blanco Encalada 2120, 3er piso, Santiago, Chile.

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Source URL: eprint.iacr.org

Language: English - Date: 2009-12-15 20:16:12
368Public-key cryptography / Error detection and correction / Electronic commerce / RSA / XTR / Bit error rate / Entropy / Key / Cryptography / Finite fields / Information theory

Recovering RSA Secret Keys from Noisy Key Bits with Erasures and Errors? Noboru Kunihiro1 , Naoyuki Shinohara2 , and Tetsuya Izu3 1 The University of Tokyo, Japan

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Source URL: eprint.iacr.org

Language: English - Date: 2012-12-13 19:33:04
369Elliptic curves / Finite fields / Number theory / Cryptography / Group theory / Weil pairing / Supersingular elliptic curve / Algebraic number field / Curve / Abstract algebra / Mathematics / Algebra

Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field Ezekiel Justin Kachisa?1 , Edward F. Schaefer ??2

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Source URL: eprint.iacr.org

Language: English - Date: 2007-12-14 05:53:33
370Orthogonal polynomials / Polynomials / Integer factorization algorithms / Finite field / General number field sieve / Logarithm / Special functions / Mathematics / Abstract algebra

Faster index calculus for the medium prime case Application to 1175-bit and 1425-bit finite fields Antoine Joux CryptoExperts and Universit´e de Versailles Saint-Quentin-en-Yvelines, Laboratoire PRISM, ´

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Source URL: eprint.iacr.org

Language: English - Date: 2013-01-07 07:11:10
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