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» Complexity of Polynomial Multiplication over Finite Fields
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ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 7 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
ENC
2004
IEEE
13 years 11 months ago
On the Hardware Design of an Elliptic Curve Cryptosystem
We present a hardware architecture for an Elliptic Curve Cryptography System performing the three basic cryptographic schemes: DH key generation, encryption and digital signature....
Miguel Morales-Sandoval, Claudia Feregrino Uribe
PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 11 months ago
An Identification Scheme Based on Sparse Polynomials
This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
William D. Banks, Daniel Lieman, Igor Shparlinski
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 7 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...
WSC
2000
13 years 8 months ago
A new class of linear feedback shift register generators
An efficient implementation of linear feedback shift register sequences with a given characteristic polynomial is obtained by a new method. It involves a polynomial linear congrue...
Pierre L'Ecuyer, François Panneton