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PKC
2010
Springer
234views Cryptology» more  PKC 2010»
13 years 9 months ago
Solving a 676-Bit Discrete Logarithm Problem in GF(36n)
Abstract. Pairings on elliptic curves over finite fields are crucial for constructing various cryptographic schemes. The T pairing on supersingular curves over GF(3n ) is particula...
Takuya Hayashi, Naoyuki Shinohara, Lihua Wang, Shi...
MCS
2007
Springer
13 years 7 months ago
Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences (FDM) and lowest-order finite element meth...
Pavel Solín, Tomás Vejchodský...
DAM
2006
116views more  DAM 2006»
13 years 7 months ago
Using graphs for some discrete tomography problems
Given a rectangular array where entries represent the pixels of a digitalized image, we consider the problem of reconstructing an image from the number of occurrences of each colo...
Marie-Christine Costa, Dominique de Werra, Christo...
SETA
2004
Springer
122views Mathematics» more  SETA 2004»
14 years 23 days ago
New LFSR-Based Cryptosystems and the Trace Discrete Log Problem (Trace-DLP)
In order to reduce key sizes and bandwidth, cryptographic systems have been proposed using minimal polynomials to represent finite field elements. These systems are essentially e...
Kenneth J. Giuliani, Guang Gong
CCCG
2007
13 years 9 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta