Computer algebra system (CAS). Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others. Magma also supports a number of databases designed to aid computational research in those areas of mathematics which are algebraic in nature. The overview provides a summary of Magma’s main features. One of the aims whilst developing Magma is to maintain extensive documentation describing the features of the system. This handbook is available online. The documentation section should help introduce new users to the Magma language. Magma is distributed by the Computational Algebra Group at the University of Sydney. Its development has benefited enormously from contributions made by many members of the mathematical community. We encourage all users to report any bugs they find; regular patch fixes are available from the downloads section.

This software is also referenced in ORMS.

References in zbMATH (referenced in 2542 articles , 5 standard articles )

Showing results 1 to 20 of 2542.
Sorted by year (citations)

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  1. Brakhage, Karl-Heinz; Niemeyer, Alice C.; Plesken, Wilhelm; Robertz, Daniel; Strzelczyk, Ansgar: The icosahedra of edge length 1 (2020)
  2. Daniels, Harris B.; González-Jiménez, Enrique: On the torsion of rational elliptic curves over sextic fields (2020)
  3. Freitas, Nuno; Naskręcki, Bartosz; Stoll, Michael: The generalized Fermat equation with exponents (2,3,n) (2020)
  4. Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M.: On the Diophantine equation (\binomnk= \binomml+ d) (2020)
  5. Hu, Sihuang; Nebe, Gabriele: Low dimensional strongly perfect lattices. IV: The dual strongly perfect lattices of dimension 16 (2020)
  6. Scholl, Travis: Super-isolated abelian varieties (2020)
  7. Xia, Binzhou: Cubic graphical regular representations of (\mathrmPSL_3(q)) (2020)
  8. Alberich-Carramiñana, Maria; Montaner, Josep Àlvarez; Blanco, Guillem: Effective computation of base points of ideals in two-dimensional local rings (2019)
  9. Amorós, Laia; Milione, Piermarco: Mumford curves covering (p)-adic Shimura curves and their fundamental domains (2019)
  10. Aragona, Riccardo; Civino, Roberto; Gavioli, Norberto; Scoppola, Carlo Maria: Regular subgroups with large intersection (2019)
  11. Araya, Makoto; Harada, Masaaki: On the classification of linear complementary dual codes (2019)
  12. Argáez-García, Alejandro: On perfect powers that are sums of cubes of a five term arithmetic progression (2019)
  13. Artebani, Michela; Comparin, Paola; Guilbot, Robin: Quasismooth hypersurfaces in toric varieties (2019)
  14. Aydin, Nuh: Some new linear codes from skew cyclic codes and computer algebra challenges (2019)
  15. Aydin, Nuh; Bakbouk, Ghada; Lambrinos, Jonathan G. G.: New linear codes over non-prime fields (2019)
  16. Aydin, Nuh; Foret, Derek: New linear codes over (\mathrmGF(3)), (\mathrmGF(11)), and (\mathrmGF(13)) (2019)
  17. Aydin, Nuh; Lambrinos, Jonathan; VandenBerg, Oliver: On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes (2019)
  18. Bailey, Geoff; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim: Existence results for primitive elements in cubic and quartic extensions of a finite field (2019)
  19. Baker, M. D.; Goerner, M.; Reid, A. W.: All principal congruence link groups (2019)
  20. Balakrishnan, Jennifer S.: What is $\ldots$ a Coleman integral? (2019)

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