- ECM using Edwards curves
2012/11/20 by Daniel J. Bernstein, Peter Birkner, Tanja Lange +1 · 1 citation
Computer Science · Mathematics · #Cryptography and Residue Arithmetic #Polynomial and algebraic computation #Coding theory and cryptography #Mathematics #Factoring #Elliptic curve #Arithmetic #Edwards curve #Modular design #Algorithm #Discrete mathematics #Modular elliptic curve #Pure mathematics #Computer science #Quarter period
- Factorization with genus 2 curves
2009/05/14 by Romain Cosset · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Edwards curve #Elliptic curve #Factoring #Factorization #Genus #Hyperelliptic curve #Hyperelliptic curve cryptography #Polynomial and algebraic computation #Supersingular elliptic curve #math.NT #msc:11Y05 #msc:11Y16 #msc:11Y40
- The Quadratic Sieve Factoring Algorithm
2007/02/28 by Carl Pomerance · 1 citation
Computer Science · Mathematics · #Accounting #Algorithm #Algorithms and Data Compression #Analytic Number Theory Research #Computer science #Cryptography and Residue Arithmetic #Discrete mathematics #Factoring #Geometry #Mathematics #Operations research #Parallel computing #Quadratic equation #Sieve (category theory)
- Architecture of a Quantum Multicomputer Optimized for Shor's Factoring Algorithm
2006/07/11 by Rodney Doyle Van Meter III, Rodney Doyle Van Meter, Meter, Rodney Doyle Van · 5 citations
Computer Science · Physics and Astronomy · #Algorithm #Architecture #Computer science #FOS: Physical sciences #Factoring #History #Parallel computing #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum computer #Quantum mechanics #quant-ph
- The multiple polynomial quadratic sieve
1987/01/01 by Robert Silverman · 2 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Coding theory and cryptography #Cryptography and Residue Arithmetic #Mathematics #Quadratic equation #Factorization #Sieve (category theory) #Polynomial #Factoring #Range (aeronautics) #Factorization of polynomials #Discrete mathematics #Combinatorics #Algorithm #Matrix polynomial #Mathematical analysis