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ENTCS
2006
124views more  ENTCS 2006»
13 years 9 months ago
A New Rabin-type Trapdoor Permutation Equivalent to Factoring
Public key cryptography has been invented to overcome some key management problems in open networks. Although nearly all aspects of public key cryptography rely on the existence of...
Katja Schmidt-Samoa
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
13 years 9 months ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano
KDD
2009
ACM
188views Data Mining» more  KDD 2009»
14 years 10 months ago
Mining discrete patterns via binary matrix factorization
Mining discrete patterns in binary data is important for subsampling, compression, and clustering. We consider rankone binary matrix approximations that identify the dominant patt...
Bao-Hong Shen, Shuiwang Ji, Jieping Ye
CC
2006
Springer
147views System Software» more  CC 2006»
13 years 9 months ago
Complexity of Ring Morphism Problems
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
Neeraj Kayal, Nitin Saxena
MOC
2010
13 years 4 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer