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» Using number fields to compute logarithms in finite fields
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CORR
2008
Springer
100views Education» more  CORR 2008»
13 years 8 months ago
Graph-Based Classification of Self-Dual Additive Codes over Finite Fields
Quantum stabilizer states over Fm can be represented as self-dual additive codes over Fm2 . These codes can be represented as weighted graphs, and orbits of graphs under the genera...
Lars Eirik Danielsen
CVPR
2000
IEEE
14 years 10 months ago
On the Number of Samples Needed in Light Field Rendering with Constant-Depth Assumption
While several image-based rendering techniques have been proposed to successfully render scenes/objects from a large collection (e.g., thousands) of images without explicitly reco...
Zhouchen Lin, Heung-Yeung Shum
CVPR
2007
IEEE
14 years 10 months ago
Multiphase Segmentation of Deformation using Logarithmic Priors
In [8], the authors proposed the large deformation logunbiased diffeomorphic nonlinear image registration model which has been successfully used to obtain theoretically and intuit...
Igor Yanovsky, Paul M. Thompson, Stanley Osher, Lu...
ANTS
2004
Springer
121views Algorithms» more  ANTS 2004»
14 years 1 months ago
Function Field Sieve in Characteristic Three
In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
Robert Granger, Andrew J. Holt, Dan Page, Nigel P....
CHES
2007
Springer
136views Cryptology» more  CHES 2007»
14 years 2 months ago
CAIRN 2: An FPGA Implementation of the Sieving Step in the Number Field Sieve Method
The hardness of the integer factorization problem assures the security of some public-key cryptosystems including RSA, and the number field sieve method (NFS), the most efficient ...
Tetsuya Izu, Jun Kogure, Takeshi Shimoyama