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 1 to 20 of 3296.
Sorted by year (citations)

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  1. Alfarano, Gianira N.; Borello, Martino; Neri, Alessandro: A geometric characterization of minimal codes and their asymptotic performance (2022)
  2. Allahmadi, A.; AlKenani, A.; Hijazi, R.; Muthana, N.; Özbudak, F.; Solé, P.: New constructions of entanglement-assisted quantum codes (2022)
  3. Amir, Malik; Hong, Letong: On (L)-functions of modular elliptic curves and certain (K3) surfaces (2022)
  4. Asgarli, Shamil; Lai, Kuan-Wen; Nakahara, Masahiro; Zimmermann, Susanna: Bijective Cremona transformations of the plane (2022)
  5. Aydin, Nuh; Liu, Peihan; Yoshino, Bryan: Polycyclic codes associated with trinomials: good codes and open questions (2022)
  6. Balakrishnan, Jennifer S.; Craig, William; Ono, Ken: Variations of Lehmer’s conjecture for Ramanujan’s tau-function (2022)
  7. Barth, Dominik; Wenz, Andreas: On Elkies’ method for bounding the transitivity degree of Galois groups (2022)
  8. Bartoli, Daniele; Calderini, Marco; Polverino, Olga; Zullo, Ferdinando: On the infiniteness of a family of APN functions (2022)
  9. Bartoli, Daniele; Cossidente, Antonio; Marino, Giuseppe; Pavese, Francesco: On cutting blocking sets and their codes (2022)
  10. Bartoli, Daniele; Giulietti, Massimo; Timpanella, Marco: Two-to-one functions from Galois extensions (2022)
  11. Beike, Nicolas F.; Carleton, Rachel; Costanzo, David G.; Heath, Colin; Lewis, Mark L.; Lu, Kaiwen; Pearce, Jamie D.: Extending results of Morgan and Parker about commuting graphs (2022)
  12. Bellamy, Gwyn; Schmitt, Johannes; Thiel, Ulrich: Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution (2022)
  13. Berg, Jennifer; Nakahara, Masahiro: Rational points on conic bundles over elliptic curves (2022)
  14. Bergman, Emily; Coulter, Robert S.: Constructing functions with low differential uniformity (2022)
  15. Bergman, Emily; Coulter, Robert S.; Villa, Irene: Classifying planar monomials over fields of order a prime cubed (2022)
  16. Bhunia, Dipak K.; Fernández-Córdoba, Cristina; Villanueva, Mercè: On the linearity and classification of (\mathbbZ_p^s )-linear generalized Hadamard codes (2022)
  17. Biswas, Soumak; Bhaintwal, Maheshanand: Quantum codes from (\mathbbZ_2\mathbbZ_2[u]/\langleu^4 \rangle)-cyclic codes (2022)
  18. Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard: Computing integral bases via localization and Hensel lifting (2022)
  19. Borisov, Lev; Buch, Anders; Fatighenti, Enrico: A journey from the octonionic (\mathbbP^2) to a fake (\mathbbP^2) (2022)
  20. Brandhorst, Simon; Shimada, Ichiro: Borcherds’ method for Enriques surfaces (2022)

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