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FAST ARITHMETIC ON JACOBIANS OF PICARD CURVES
Jacobians Picard curves algebraic curves cryptography
2009/4/8
In this paper we present a fast addition algorithm in the Jacobian of a Picard curve over a finite field Fq of characteristic different from 3. This algorithm has a nice geometric interpretation, comp...
ISOMORPHISM CLASSES OF PICARD CURVES OVER FINITE FIELDS
Picard curve superelliptic curve isomorphism class
2009/4/8
In this paper we determine the number of isomorphism classes of
Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite
fields of characteristic different from 3. In the proc...
GENERATION OF RANDOM PICARD CURVES FOR CRYPTOGRAPHY
Picard curves low memory algorithm cryptographic size
2009/4/1
Combining the ideas in [BTW] and [GS], we give a ecient, low memory algorithm
for computing the number of points on the Jacobian of a Picard curve. We present an example of
cryptographic size.