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» Computing Sparse Multiples of Polynomials
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SC
2009
ACM
14 years 2 months ago
Implementing sparse matrix-vector multiplication on throughput-oriented processors
Sparse matrix-vector multiplication (SpMV) is of singular importance in sparse linear algebra. In contrast to the uniform regularity of dense linear algebra, sparse operations enc...
Nathan Bell, Michael Garland
ICPP
2008
IEEE
14 years 2 months ago
Challenges and Advances in Parallel Sparse Matrix-Matrix Multiplication
We identify the challenges that are special to parallel sparse matrix-matrix multiplication (PSpGEMM). We show that sparse algorithms are not as scalable as their dense counterpar...
Aydin Buluç, John R. Gilbert
CMA
2010
183views more  CMA 2010»
13 years 4 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
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 2 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
IJNSEC
2010
324views more  IJNSEC 2010»
13 years 2 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi