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» Computations of class numbers of real quadratic fields
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DCC
2001
IEEE
14 years 7 months ago
Cryptography in Quadratic Function Fields
We describe several cryptographic schemes in quadratic function fields of odd characteristic. In both the real and the imaginary representation of such a field, we present a Diffi...
Renate Scheidler
MOC
2002
132views more  MOC 2002»
13 years 7 months ago
Comparison of algorithms to calculate quadratic irregularity of prime numbers
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k0, using the values of the zeta functi...
Joshua Holden
ACISP
2010
Springer
13 years 9 months ago
Security Estimates for Quadratic Field Based Cryptosystems
Abstract. We describe implementations for solving the discrete logarithm problem in the class group of an imaginary quadratic field and in the infrastructure of a real quadratic fi...
Jean-François Biasse, Michael J. Jacobson, ...
ENTCS
2006
137views more  ENTCS 2006»
13 years 7 months ago
Coinductive Field of Exact Real Numbers and General Corecursion
In this article we present a method to define algebraic structure (field operations) on a representation of real numbers by coinductive streams. The field operations will be given...
Milad Niqui
JOC
2006
77views more  JOC 2006»
13 years 7 months ago
An Improved Real-Quadratic-Field-Based Key Exchange Procedure
To date, the only non-group structure that has been suitably employed as the key space for Diffie-Hellman type cryptographic key exchange is the infrastructure of a real quadratic ...
Michael J. Jacobson Jr., Renate Scheidler, Hugh C....