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 81 to 100 of 3296.
Sorted by year (citations)

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  1. Marseglia, Stefano; Scholl, Travis: Products and polarizations of super-isolated abelian varieties (2022)
  2. Michaud-Rodgers, Philippe: A unique perfect power decagonal number (2022)
  3. Michaud-Rodgers, Philippe: Quadratic points on non-split Cartan modular curves (2022)
  4. Musyoka, David Mwanzia; Njuguna, Lydia N.; Prins, Abraham Love; Chikamai, Lucy: On a maximal subgroup of the orthogonal group (O_8^+(3)) (2022)
  5. Nguyen Xuan Tho: On a Diophantine equation (2022)
  6. Nguyen Xuan Tho: Solutions to a Lebesgue-Nagell equation (2022)
  7. Park, Cheol-Min; Park, Sun Woo: Minimal degrees of algebraic numbers with respect to primitive elements (2022)
  8. Parkinson, James; Yau, Yeeka: Cone types, automata, and regular partitions in Coxeter groups (2022)
  9. Patel, Shikha; Islam, Habibul; Prakash, Om: ((f, \sigma, \delta))-skew polycyclic codes and their applications to quantum codes (2022)
  10. Prakash, Om; Patel, Shikha: Skew cyclic codes over (\mathbbF_q[u,v,w]/\langleu^2-1, v^2-1, w^2-1,uv-vu,vw-wv,Wu-uw\rangle) (2022)
  11. Rajput, Charul; Bhaintwal, Maheshanand: On the locality of quasi-cyclic codes over finite fields (2022)
  12. Rito, Carlos: Surfaces with canonical map of maximum degree (2022)
  13. Schröer, Stefan: Elliptic curves over the rational numbers with semi-abelian reduction and two-division points (2022)
  14. Serban, Vlad: A finiteness result for (p)-adic families of Bianchi modular forms (2022)
  15. Sok, Lin: On Euclidean self-dual codes and isometry codes (2022)
  16. Sok, Lin; Yang, Chong: Constructions of optimal Hermitian self-dual codes from unitary matrices (2022)
  17. Terai, Nobuhiro: On the Diophantine equation (x^2+b^m=c^n) with (a^2+b^4=c^2) (2022)
  18. Tironi, Andrea Luigi: On a Homma-Kim conjecture for nonsingular hypersurfaces (2022)
  19. Trbović, Antonela: Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny (2022)
  20. Tsang, Cindy (Sin Yi): Finite skew braces with isomorphic non-abelian characteristically simple additive and circle groups (2022)

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