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PAIRING
2010
Springer
179views Cryptology» more  PAIRING 2010»
13 years 5 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»
13 years 7 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»
13 years 7 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»
13 years 7 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
14 years 24 days 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...