Fast matrix solver in GF (2)
Y Takefuji, T Kurokawa, H Aiso - 1983 IEEE 6th Symposium on …, 1983 - ieeexplore.ieee.org
… matrix solver for realizing the GJEM is discussed in this section. In GF(2) the addition and
subtraction corresponds to the function of Exclusive OR logic d. t e multiplication to that of …
subtraction corresponds to the function of Exclusive OR logic d. t e multiplication to that of …
Solving large systems of linear equations over GF (2) on FPGAs
… using Gaussian elimination on the coefficient matrix. Our architecture can also be used for
solving matrix inversion problems and for computing the systematic form of matrices. These …
solving matrix inversion problems and for computing the systematic form of matrices. These …
A parallel hardware architecture for fast Gaussian elimination over GF (2)
… solving mediumsized LSEs and computing inverse matrices. In a similar way, an architecture
for fast matrix … other architecture to solve large LSEs by means of Strassen’s algorithm [17]. …
for fast matrix … other architecture to solve large LSEs by means of Strassen’s algorithm [17]. …
[PDF][PDF] Smith-a parallel hardware architecture for fast gaussian elimination over gf (2)
… for solving medium-sized LSEs and computing inverse matrices. In a similar way, an architecture
for fast matrix … in conjunction with the other architecture to solve large LSEs by means of …
for fast matrix … in conjunction with the other architecture to solve large LSEs by means of …
A Study on Optimization of Sparse and Dense Linear System Solver Over GF (2) on GPUs
P Verma, K Sharma - Innovations in Computer Science and Engineering …, 2021 - Springer
… The system is of the form A * x = B (mod 2) where Matrix A is dense its 50% of the elements
… A parallel hardware architecture for fast gaussian elimination over GF (2). In: 14th IEEE …
… A parallel hardware architecture for fast gaussian elimination over GF (2). In: 14th IEEE …
Fast decoding algorithm for LDPC over GF (2/sup q/)
L Barnault, D Declercq - Proceedings 2003 IEEE Information …, 2003 - ieeexplore.ieee.org
… In particular, good LDPC codes over GF(p) are defined by ultrasparse matrices and thereby
… In section 111, we recall the regular Belief Propagation equations, written in tensor notations…
… In section 111, we recall the regular Belief Propagation equations, written in tensor notations…
Faster and More Energy-Efficient Equation Solvers over GF (2)
S Banik, F Regazzoni - International Conference on Security, Privacy, and …, 2024 - Springer
… This core circuit is then used to solve equations over G F ( 2 ) \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{…
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{…
A Fast Algorithm for Gaussian Elimination over GF (2) and its Implementation on the GAPP
ÇK Koç, SN Arachchige - Journal of Parallel and Distributed Computing, 1991 - Elsevier
… column operations to this matrix over the field GF( 2 ), and … elimination algorithm over GF(
2) (more generally, over GF(p)) … Takefuji et al. have proposed a matrix solver using iterative …
2) (more generally, over GF(p)) … Takefuji et al. have proposed a matrix solver using iterative …
GPU acceleration of dense matrix and block operations for Lanczos method for systems over GF (2)
NL Zamarashkin, DA Zheltkov - Lobachevskii Journal of Mathematics, 2019 - Springer
… networks is not able to provide the super-fast algorithms’ advantages [5]. Thus the efficient
… generations and 2 for earlier ones), and l2 = 256. On each algorithm step we calculate the …
… generations and 2 for earlier ones), and l2 = 256. On each algorithm step we calculate the …
[PDF][PDF] On the rapid solution of systems of polynomial equations over lowdegree extension fields of GF (2) via SAT-solvers
G Bard - 8th Central European Conf. on Cryptography, 2008 - gregory-bard.com
… In particular, we will show how to use a classic matrix representation of these fields to … , it
was faster than the SAT-solver approach. And while SAT-solvers are quite fast, their running …
was faster than the SAT-solver approach. And while SAT-solvers are quite fast, their running …