
Magma
 Referenced in 2565 articles
[sw00540]
 software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics ... working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes ... many others. Magma also supports a number of databases designed to aid computational research...

KANT/KASH
 Referenced in 151 articles
[sw00481]
 sophisticated computations in algebraic number fields and global function fields. It has been developed under ... program library for computations in algebraic number ﬁelds, algebraic function ﬁelds and local ﬁelds...

LMFDB
 Referenced in 79 articles
[sw07249]
 coming from modular forms, elliptic curves, number fields, and Dirichlet characters, as well as more...

GloptiPoly
 Referenced in 246 articles
[sw04343]
 large number of important applications in various fields such as optimization, probability, finance, control, signal...

MersenneTwister
 Referenced in 243 articles
[sw05367]
 proposed for generating uniform pseudorandom numbers. For a particular choice of parameters, the algorithm provides ... polynomial calculations over the twoelement field...

CADONFS
 Referenced in 10 articles
[sw07250]
 complete implementation in C/C++ of the Number Field Sieve (NFS) algorithm for factoring integers...

FRK
 Referenced in 79 articles
[sw19172]
 Cressie and Johannesson (2008), decomposes the field, and hence the covariance function, using a fixed ... typically much smaller than the number of data points (or polygons) m. The method naturally ... support (with known error variance). The projected field is a key building block...

GiANT
 Referenced in 9 articles
[sw00348]
 developed graphical interface for working with number fields. GiANT offers interactive diagrams, draganddrop...

EG
 Referenced in 9 articles
[sw11548]
 polynomials in x over a number field K, with ... Algorithm EG δ provides also a number of additional possibilities). Examples of problems that...

SNARK93
 Referenced in 17 articles
[sw09644]
 arisen in a large number of scientific fields (including computed tomography, electron microscopy, radiology, radio ... data for use by reconstruction algorithms. A number of frequently used reconstruction algorithms are incorporated...

EFD
 Referenced in 46 articles
[sw04152]
 given a finite field k (the ground field), an elliptic curve E (with small parameters ... scalars, expressing the necessary number of multiplications per bit as a function ... number of multiplications needed to provide an inversion in the ground field. In order...

DERIVE
 Referenced in 60 articles
[sw02964]
 numbers. It’s useful from KS3 to University and beyond. Problems in the fields...

Nilmat
 Referenced in 16 articles
[sw08583]
 finite field or the field of rational numbers is nilpotent, methods for computing with such...

FLICAOVAP
 Referenced in 10 articles
[sw18356]
 general multifield model, with a variable number of fields for both vapor and liquid phases ... Riemanntype solvers, adapted to low Mach number, can be used for the numerical discretization...

GluCat
 Referenced in 12 articles
[sw04959]
 universal Clifford algebras over the field of real numbers, with arbitrary dimension and arbitrary signature...

ComputeL
 Referenced in 5 articles
[sw31452]
 Dedekind zetafunction of a number field; Lfunctions associated to (H1 of) curves...

Snap
 Referenced in 23 articles
[sw20131]
 precision arithmetic and number theoretic functions to compute invariant trace fields and related 3manifold...

AntNet
 Referenced in 66 articles
[sw11975]
 coming from the telecommunications and machine learning fields. The algorithms’ performance is evaluated over ... artificial IP datagram networks with increasing number of nodes and under several paradigmatic spatial...

TECC
 Referenced in 4 articles
[sw04699]
 arithmetic of elliptic curves defined over number fields. We outline the features of TECC...