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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
MOC
2002
121views more  MOC 2002»
14 years 11 months ago
Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
Andreas Enge
AAECC
2004
Springer
83views Algorithms» more  AAECC 2004»
14 years 11 months ago
Bounding the Trellis State Complexity of Algebraic Geometric Codes
Abstract. Let C be an algebraic geometric code of dimension k and length n constructed on a curve X over Fq. Let s(C) be the state complexity of C and set w(C) := min{k, n-k}, the ...
Carlos Munuera, Fernando Torres
CVGIP
2004
121views more  CVGIP 2004»
14 years 11 months ago
Skeleton-driven 2D distance field metamorphosis using intrinsic shape parameters
In this article a novel algorithm is presented for 2D shape interpolation using the intrinsic shape parameters of a piecewise linear curve. The skeletons of two given shapes are c...
WuJun Che, XunNian Yang, GuoZhao Wang
WISA
2004
Springer
15 years 5 months ago
Hyperelliptic Curve Coprocessors on a FPGA
Abstract. Cryptographic algorithms are used in a large variety of different applications to ensure security services. It is, thus, very interesting to investigate various implement...
Howon Kim, Thomas J. Wollinger, YongJe Choi, Kyoil...