Magma

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 2716 articles , 5 standard articles )

Showing results 1 to 20 of 2716.
Sorted by year (citations)

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  1. Akbal, Yıldırım; Temür, Burcu Gülmez; Ongan, Pınar: A short note on permutation trinomials of prescribed type (2020)
  2. Aksoy, Refia; Çalışkan, Fatma: A new shortening method and Hermitian self-dual codes over (\mathbbF_2 + v \mathbbF_2) (2020)
  3. Alahmadi, Adel; Güneri, Cem; Özkaya, Buket; Shoaib, Hatoon; Solé, Patrick: On complementary dual multinegacirculant codes (2020)
  4. Alberts, Brandon: The weak form of Malle’s conjecture and solvable groups (2020)
  5. Altmann, Anna; Awtrey, Chad; Cryan, Sam; Shannon, Kiley; Touchette, Madeleine: Galois groups of doubly even octic polynomials (2020)
  6. Araya, Makoto; Harada, Masaaki: On the minimum weights of binary linear complementary dual codes (2020)
  7. Argáez-García, Alejandro; Patel, Vandita: On perfect powers that are sums of cubes of a seven term arithmetic progression (2020)
  8. Bächle, Andreas; Sambale, Benjamin: Orders generated by character values (2020)
  9. Balletti, Gabriele; Borger, Christopher: Families of lattice polytopes of mixed degree one (2020)
  10. Bamberg, John; Freedman, Saul D.; Morgan, Luke: On (p)-groups with automorphism groups related to the Chevalley group (G_2(p)) (2020)
  11. Bamberg, John; Glasby, S. P.; Harper, Scott; Praeger, Cheryl E.: Permutations with orders coprime to a given integer (2020)
  12. Bartoli, Daniele: Permutation trinomials over (\mathbbF_q^3 ) (2020)
  13. Benedito, Cintya Wink de Oliveira; Alves, Carina; Gomes Brasil, Nelson jun.; Costa, Sueli Irene Rodrigues: Algebraic construction of lattices via maximal quaternion orders (2020)
  14. Benson, Dave: Some conjectures and their consequences for tensor products of modules over a finite (p)-group (2020)
  15. Berg, Jennifer; Várilly-Alvarado, Anthony: Odd order obstructions to the Hasse principle on general K3 surfaces (2020)
  16. Bhowmick, Sanjit; Fotue-Tabue, Alexandre; Martínez-Moro, Edgar; Bandi, Ramakrishna; Bagchi, Satya: Do non-free LCD codes over finite commutative Frobenius rings exist? (2020)
  17. Bodewes, Jelco M.; Bodlaender, Hans L.; Cornelissen, Gunther; van der Wegen, Marieke: Recognizing hyperelliptic graphs in polynomial time (2020)
  18. Boutin, Mireille; Kemper, Gregor: A drone can hear the shape of a room (2020)
  19. Bovdi, Victor; Breuer, Thomas; Maróti, Attila: Finite simple groups with short Galois orbits on conjugacy classes (2020)
  20. Brakhage, Karl-Heinz; Niemeyer, Alice C.; Plesken, Wilhelm; Robertz, Daniel; Strzelczyk, Ansgar: The icosahedra of edge length 1 (2020)

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Further publications can be found at: http://magma.maths.usyd.edu.au/magma/citations/