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» Skew-Frobenius Maps on Hyperelliptic Curves
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IEICET
2008
126views more  IEICET 2008»
14 years 11 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
PAIRING
2010
Springer
179views Cryptology» more  PAIRING 2010»
14 years 10 months ago
Deterministic Encoding and Hashing to Odd Hyperelliptic Curves
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
Pierre-Alain Fouque, Mehdi Tibouchi
ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
15 years 3 months ago
Numerical Uniformization of Hyperelliptic Curves
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
Klaus-Dieter Semmler, Mika Seppälä