New algorithm for the discrete logarithm problem on elliptic curves
... that is polynomial in n. The assumption was proved correct in numerous experiments with MAGMA, see Section 4.5.1. We were able to solve (5) for t = m and therefore (4) for m as 5, 6 and some n on a common computer. For n, m as in [19, 28], the solution is up to 50 times faster and takes up to 10 tim ...
... that is polynomial in n. The assumption was proved correct in numerous experiments with MAGMA, see Section 4.5.1. We were able to solve (5) for t = m and therefore (4) for m as 5, 6 and some n on a common computer. For n, m as in [19, 28], the solution is up to 50 times faster and takes up to 10 tim ...
A Nonlinear Programming Algorithm for Solving Semidefinite
... Recognizing the practical disadvantages of the classical interior-point methods, several researchers have proposed alternative approaches for solving SDPs. Common to each of these new approaches is an attempt to exploit sparsity more effectively in large-scale SDPs by relying only on first-order, gr ...
... Recognizing the practical disadvantages of the classical interior-point methods, several researchers have proposed alternative approaches for solving SDPs. Common to each of these new approaches is an attempt to exploit sparsity more effectively in large-scale SDPs by relying only on first-order, gr ...
The Wolf Colony Algorithm and Its Application
... the coordinate system, divide ST into n + 1 segments. The division point is xi (1 ≤ i ≤ n). Find the line li that is vertical with the ST on xi and choose a point pi randomly on li . pi should satisfy the following conditions: pi is not in obstacles; the lines of pi−1 pi and pi pi+1 do not across ob ...
... the coordinate system, divide ST into n + 1 segments. The division point is xi (1 ≤ i ≤ n). Find the line li that is vertical with the ST on xi and choose a point pi randomly on li . pi should satisfy the following conditions: pi is not in obstacles; the lines of pi−1 pi and pi pi+1 do not across ob ...
Best description
... This paper concerns approximate nearest neighbor searching algorithms, which have become increasingly important, especially in high dimensional perception areas such as computer vision, with dozens of publications in recent years. Much of this enthusiasm is due to a successful new approximate neares ...
... This paper concerns approximate nearest neighbor searching algorithms, which have become increasingly important, especially in high dimensional perception areas such as computer vision, with dozens of publications in recent years. Much of this enthusiasm is due to a successful new approximate neares ...
Public-Key Cryptosystems Based on Hard Problems
... Enigma Code during the World War II. Alan Turing developed a machine which was able to dechiper the Germans' messages using mathematical techniques. A movie, The Imitation Game is paying homage to Turing whose work shortend the war with two years. In january of 2015, the prime minister of the United ...
... Enigma Code during the World War II. Alan Turing developed a machine which was able to dechiper the Germans' messages using mathematical techniques. A movie, The Imitation Game is paying homage to Turing whose work shortend the war with two years. In january of 2015, the prime minister of the United ...
