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» Arithmetic on superelliptic curves
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CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
ASAP
2006
IEEE
110views Hardware» more  ASAP 2006»
14 years 1 months ago
Low-Cost Elliptic Curve Digital Signature Coprocessor for Smart Cards
This paper proposes different low-cost coprocessors for public key authentication on 8-bit smart cards. Elliptic curve cryptography is used for its efficiency per bit of key and ...
Guerric Meurice de Dormale, Renaud Ambroise, David...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
CTRSA
2004
Springer
114views Cryptology» more  CTRSA 2004»
14 years 1 months ago
Flexible Hardware Design for RSA and Elliptic Curve Cryptosystems
This paper presents a scalable hardware implementation of both commonly used public key cryptosystems, RSA and Elliptic Curve Cryptosystem (ECC) on the same platform. The introduce...
Lejla Batina, Geeke Bruin-Muurling, Siddika Berna ...
ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
13 years 11 months ago
Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
John Voight