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JOC
2000
100views more  JOC 2000»
13 years 5 months ago
Computing Discrete Logarithms in Quadratic Orders
We present efficient algorithms for computing discrete logarithms in the classgroupofaquadraticorderandforprincipalitytestinginarealquadraticorder,based on the work of D
Michael J. Jacobson Jr.
JOC
2000
94views more  JOC 2000»
13 years 5 months ago
A New Public-Key Cryptosystem over a Quadratic Order with Quadratic Decryption Time
We present a new cryptosystem based on ideal arithmetic in quadratic orders. The method of our trapdoor is different from the Diffie
Sachar Paulus, Tsuyoshi Takagi
JOC
1998
117views more  JOC 1998»
13 years 5 months ago
An Analysis of SAFER
We investigate some of the algebraic properties of the SAFER block cipher when the message space is considered as a Z-module. In particular we consider the invariant Z-submodules ...
Sean Murphy
JOC
2006
103views more  JOC 2006»
13 years 5 months ago
An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
Jan Denef, Frederik Vercauteren