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» Cryptography in Quadratic Function Fields
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DCC
2001
IEEE
14 years 4 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
109views more  MOC 2002»
13 years 4 months ago
The parallelized Pollard kangaroo method in real quadratic function fields
Abstract. We show how to use the parallelized kangaroo method for computing invariants in real quadratic function fields. Specifically, we show how to apply the kangaroo method to ...
Andreas Stein, Edlyn Teske
PQCRYPTO
2010
142views Cryptology» more  PQCRYPTO 2010»
13 years 8 months ago
Growth of the Ideal Generated by a Quadratic Boolean Function
We give exact formulas for the growth of the ideal Aλ for λ a quadratic element of the algebra of Boolean functions over the Galois field GF(2). That is, we calculate dim Akλ w...
Jintai Ding, Timothy J. Hodges, Victoria Kruglov
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
MOC
2000
102views more  MOC 2000»
13 years 4 months ago
Class group frequencies of real quadratic function fields: The degree 4 case
Abstract. The distribution of ideal class groups of Fq(T, M(T)) is examined for degree-four monic polynomials M Fq[T] when Fq is a finite field of characteristic greater than 3 wi...
Christian Friesen