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CALC
2001
Springer
145views Cryptology» more  CALC 2001»
15 years 4 months ago
Fast Reduction of Ternary Quadratic Forms
We show that a positive definite integral ternary form can be reduced with O(M(s) log2 s) bit operations, where s is the binary encoding length of the form and M(s) is the bit-com...
Friedrich Eisenbrand, Günter Rote
91
Voted
COCOON
1999
Springer
15 years 4 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
ANTS
1994
Springer
105views Algorithms» more  ANTS 1994»
15 years 3 months ago
A fast variant of the Gaussian reduction algorithm
We propose a fast variant of the Gaussian algorithm for the reduction of two{ dimensional lattices for the l1; l2; and l1;norm. The algorithm runs in at most O(n M(B) logB) bit op...
Michael Kaib
SICHERHEIT
2008
15 years 1 months ago
Efficiency Improvement for NTRU
Abstract: The NTRU encryption scheme is an interesting alternative to well-established encryption schemes such as RSA, ElGamal, and ECIES. The security of NTRU relies on the hardne...
Johannes Buchmann, Martin Döring, Richard Lin...
ORL
2008
111views more  ORL 2008»
14 years 11 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel