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DISCO
1993
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13 years 8 months ago
Gauss: A Parameterized Domain of Computation System with Support for Signature Functions
The fastest known algorithms in classical algebra make use of signature functions. That is, reducing computation with formulae to computing with the integers modulo p, by substitut...
Michael B. Monagan
INDOCRYPT
2005
Springer
13 years 10 months ago
Cryptanalysis of the Quadratic Generator
Let p be a prime and let a and c be integers modulo p. The quadratic congruential generator (QCG) is a sequence (vn) of pseudorandom numbers defined by the relation vn+1 ≡ av2 n...
Domingo Gómez, Jaime Gutierrez, Álva...
ARITH
2005
IEEE
13 years 10 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...