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 2082 articles , 4 standard articles )

Showing results 1 to 20 of 2082.
Sorted by year (citations)

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  1. Álvarez, Víctor; Armario, José Andrés; Falcón, Raúl M.; Frau, María Dolores; Gudiel, Félix: Gröbner bases and cocyclic Hadamard matrices (2018-2018)
  2. Koprowski, Przemysław; Czogała, Alfred: Computing with quadratic forms over number fields (2018-2018)
  3. Tengely, Sz.; Ulas, M.: On a problem of Peth\Ho (2018-2018)
  4. Aragona, Riccardo; Calderini, Marco; Tortora, Antonio; Tota, Maria: Primitivity of PRESENT and other lightweight ciphers (2018)
  5. Badr, Eslam; Hidalgo, Rubén A.; Quispe, Saúl: Riemann surfaces defined over the reals (2018)
  6. Bamberg, John; Glasby, S.P.; Morgan, Luke; Niemeyer, Alice C.: Maximal linear groups induced on the Frattini quotient of a $p$-group (2018)
  7. Barrolleta, Roland D.; Villanueva, Mercè: Partial permutation decoding for binary linear and $Z_4$-linear Hadamard codes (2018)
  8. Bartoli, Daniele: On a conjecture about a class of permutation trinomials (2018)
  9. Bartoli, Daniele; Giulietti, Massimo: Permutation polynomials, fractional polynomials, and algebraic curves (2018)
  10. Belgun, Florin; Cortés, Vicente; Haupt, Alexander S.; Lindemann, David: Left-invariant Einstein metrics on $S^3 \times S^3$ (2018)
  11. Benson, David J.; Carlson, Jon F.: Nilpotence and generation in the stable module category (2018)
  12. Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan: On the Diophantine equation $(x+1)^k+(x+2)^k+\ldots+(2x)^k=y^n$ (2018)
  13. Bisatt, Matthew: Frobenius elements in Galois representations with $\mathrmSL_n$ image (2018)
  14. Blanco-Chacón, Iván; Boix, Alberto F.; Fordham, Stiofáin; Yilmaz, Emrah Sercan: Differential operators and hyperelliptic curves over finite fields (2018)
  15. Blasiak, Jonah; Fomin, Sergey: Rules of three for commutation relations (2018)
  16. Borello, Martino; de la Cruz, Javier: Some new results on the self-dual [120,60,24] code (2018)
  17. Bouyuklieva, Stefka; Harada, Masaaki; Munemasa, Akihiro: Nonexistence of certain singly even self-dual codes with minimal shadow (2018)
  18. Braić, Snježana; Mandić, Joško; Vučičić, Tanja: Flag-transitive block designs with automorphism group $S_n w r S_2$ (2018)
  19. Bray, John N.; Bäärnhielm, Henrik: A new method for recognising Suzuki groups (2018)
  20. Bremner, Andrew; Xuan, Tho Nguyen: The equation $(w + x + y + z)(1 / w + 1 / x + 1 / y + 1 / z) = n$ (2018)

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