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 1718 articles , 4 standard articles )

Showing results 1 to 20 of 1718.
Sorted by year (citations)

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  1. Abualrub, Taher; Aydin, N.: Additive cyclic codes over mixed alphabets and the football pool problem (2017)
  2. Araya, Makoto; Harada, Masaaki; Suda, Sho: Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: A coding-theoretic approach (2017)
  3. Atighehchi, Kevin; Ballet, Stéphane; Bonnecaze, Alexis; Rolland, Robert: Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm (2017)
  4. Balakrishnan, Jennifer S.; Besser, Amnon; Müller, J.Steffen: Computing integral points on hyperelliptic curves using quadratic Chabauty (2017)
  5. Ballet, Stéphane; Pieltant, Julia; Rambaud, Matthieu; Sijsling, Jeroen: On some bounds for symmetric tensor rank of multiplication in finite fields (2017)
  6. Barth, Dominik: The non-existence of sharply 2-transitive sets of permutations in $\mathrm Sp(2d,2)$ of degree $2^2d-1\pm 2^d-1$ (2017)
  7. Bartoli, Daniele; Marcugini, Stefano; Pambianco, Fernanda: On the completeness of plane cubic curves over finite fields (2017)
  8. Belfiore, Jean-Claude; Güner\Dı, Cem; Özkaya, Buket: Quasi-cyclic subcodes of cyclic codes (2017)
  9. Bennett, Michael A.; Billerey, Nicolas: Sums of two $S$-units via Frey-Hellegouarch curves (2017)
  10. Bennett, Michael A.; Patel, Vandita; Siksek, Samir: Perfect powers that are sums of consecutive cubes (2017)
  11. Bertók, Csanád; Hajdu, Lajos; Pink, István; Rábai, Zsolt: Linear combinations of prime powers in binary recurrence sequences (2017)
  12. Betten, Anton; Dempwolff, Ulrich; Wassermann, Alfred: On dual hyperovals of rank 4 over $\mathbbF_2$ (2017)
  13. Bezzateev, Sergey; Shekhunova, Natalia: Quasi-cyclic Goppa codes with special Goppa polynomials and matched location sets (2017)
  14. Blasiak, Jonah; Fomin, Sergey: Noncommutative Schur functions, switchboards, and Schur positivity (2017)
  15. Boston, Nigel; Bush, Michael R.; Hajir, Farshid: Heuristics for $p$-class towers of imaginary quadratic fields (2017)
  16. Brooksbank, Peter A.; Maglione, Joshua; Wilson, James B.: A fast isomorphism test for groups whose Lie algebra has genus 2 (2017)
  17. Browning, T.D.; Loughran, D.: Varieties with too many rational points (2017)
  18. Canci, Jung Kyu; Vishkautsan, Solomon: Quadratic maps with a periodic critical point of period 2 (2017)
  19. Carlson, Jon F.; Iyengar, Srikanth B.: Hopf algebra structures and tensor products for group algebras (2017)
  20. Chen, Xiaotian; Zhou, Yue: Asynchronous channel hopping systems from difference sets (2017)

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