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» On Quadratic Polynomials for the Number Field Sieve
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CATS
1998
13 years 6 months ago
On Quadratic Polynomials for the Number Field Sieve
Brian Murphy, Richard P. Brent
ASIACRYPT
2003
Springer
13 years 10 months ago
Rotations and Translations of Number Field Sieve Polynomials
We present an algorithm that finds polynomials with many roots modulo many primes by rotating candidate Number Field Sieve polynomials using the Chinese Remainder Theorem. We also...
Jason E. Gower
ASIACRYPT
2003
Springer
13 years 10 months ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy
EUROCRYPT
2000
Springer
13 years 8 months ago
Analysis and Optimization of the TWINKLE Factoring Device
We describe an enhanced version of the TWINKLE factoring device and analyse to what extent it can be expected to speed up the sieving step of the Quadratic Sieve and Number Field S...
Arjen K. Lenstra, Adi Shamir
JC
2000
135views more  JC 2000»
13 years 4 months ago
Decision Problems in Quadratic Function Fields of High Genus
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
Renate Scheidler