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ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
13 years 22 days ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
CMA
2010
183views more  CMA 2010»
13 years 6 months ago
Ramanujan's class invariants and their use in elliptic curve cryptography
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
Elisavet Konstantinou, Aristides Kontogeorgis
TWC
2010
13 years 4 months ago
Maximum-likelihood noncoherent OSTBC detection with polynomial complexity
Abstract--We prove that maximum-likelihood (ML) noncoherent sequence detection of orthogonal space-time block coded signals can always be performed in polynomial time with respect ...
Dimitris S. Papailiopoulos, George N. Karystinos
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
14 years 3 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
CSR
2009
Springer
14 years 4 months ago
On the Complexity of Matroid Isomorphism Problems
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σp 2 . In the case of linear matroids, which are represented over poly...
B. V. Raghavendra Rao, Jayalal M. N. Sarma