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 3296 articles , 5 standard articles )

Showing results 61 to 80 of 3296.
Sorted by year (citations)
  1. Hujdurović, Ademir; Kutnar, Klavdija; Kuzma, Bojan; Marušič, Dragan; Miklavič, Štefko; Orel, Marko: On intersection density of transitive groups of degree a product of two odd primes (2022)
  2. Islam, Habibul; Prakash, Om: Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring (2022)
  3. Islam, Habibul; Prakash, Om; Bhunia, Dipak Kumar: On the structure of cyclic codes over (M_2(\mathbbF_p+u\mathbbF_p)) (2022)
  4. Islam, Habibul; Prakash, Om; Verma, Ram Krishna: New quantum codes from constacyclic codes over the ring (R_k,m) (2022)
  5. Jarso, Tamiru; Trudgian, Tim: Four consecutive primitive elements in a finite field (2022)
  6. Jones, Nathan; McMurdy, Ken: Elliptic curves with non-abelian entanglements (2022)
  7. Kaleyski, Nikolay: Deciding EA-equivalence via invariants (2022)
  8. Kaspers, Christian; Zhou, Yue: A lower bound on the number of inequivalent APN functions (2022)
  9. Kemper, Gregor: Computing quotients by connected solvable groups (2022)
  10. Kemper, Gregor; Lopatin, Artem; Reimers, Fabian: Separating invariants over finite fields (2022)
  11. Kezuka, Yukako: Tamagawa number divisibility of central (L)-values of twists of the Fermat elliptic curve (2022)
  12. Khasraw, S. M. S.; McInroy, J.; Shpectorov, S.: Enumerating 3-generated axial algebras of Monster type (2022)
  13. Kirschmer, Markus; Nebe, Gabriele: Binary Hermitian lattices over number fields (2022)
  14. Korhonen, Mikko; Stewart, David I.; Thomas, Adam R.: Representatives for unipotent classes and nilpotent orbits (2022)
  15. Kudo, Momonari: Computing representation matrices for the action of Frobenius on cohomology groups (2022)
  16. Leterrier, Gauthier: On the Mordell-Weil lattice of (y^2=x^3+bx+t^3^n+1) in characteristic 3 (2022)
  17. Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang: Integer dynamics (2022)
  18. Lucchini, Andrea; Spiga, Pablo: Independent sets of generators of prime power order (2022)
  19. Ma, Jicheng; Zhou, Jin-Xin: Symmetric cubic graphs with non-solvable automorphism groups (2022)
  20. Mandić, Joško; Šubašić, Aljoša: Flag-transitive and point-imprimitive symmetric designs with (\lambda\leq10) (2022)

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