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.
This software is also referenced in ORMS.
Keywords for this software
References in zbMATH (referenced in 1972 articles , 4 standard articles )
Showing results 1 to 20 of 1972.
Sorted by year (- Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan: On the Diophantine equation $(x+1)^k+(x+2)^k+\ldots+(2x)^k=y^n$ (2018)
- Bray, John N.; Bäärnhielm, Henrik: A new method for recognising Suzuki groups (2018)
- Daniels, Harris B.; Lozano-Robledo, Álvaro; Najman, Filip; Sutherland, Andrew V.: Torsion subgroups of rational elliptic curves over the compositum of all cubic fields (2018)
- Dietrich, Heiko; Wanless, Ian M.: Small partial Latin squares that embed in an infinite group but not into any finite group (2018)
- Jeon, Daeyeol: Bielliptic modular curves $X_0^+(N)$ (2018)
- Logan, Adam: New realizations of modular forms in Calabi-Yau threefolds arising from $\phi^4$ theory (2018)
- Mascot, Nicolas: Certification of modular Galois representations (2018)
- Skabelund, Dane C.: New maximal curves as ray class fields over Deligne-Lusztig curves (2018)
- Spiga, Pablo: Finite groups admitting an oriented regular representation (2018)
- Abdukhalikov, Kanat: Bent functions and line ovals (2017)
- Abramenko, Peter; Parkinson, James; Van Maldeghem, Hendrik: Distance regularity in buildings and structure constants in Hecke algebras (2017)
- Abualrub, Taher; Aydin, N.: Additive cyclic codes over mixed alphabets and the football pool problem (2017)
- Andersen, Kasper K.S.; Oliver, Bob; Ventura, Joana: Reduced fusion systems over 2-groups of small order (2017)
- Araya, Makoto; Harada, Masaaki; Suda, Sho: Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: a coding-theoretic approach (2017)
- Artebani, Michela; Quispe, Saúl; Reyes, Cristian: Automorphism groups of pseudoreal Riemann surfaces (2017)
- Atighehchi, Kevin; Ballet, Stéphane; Bonnecaze, Alexis; Rolland, Robert: Arithmetic in finite fields based on the Chudnovsky-Chudnovsky multiplication algorithm (2017)
- Aydin, Nuh; Connolly, Nicholas; Grassl, Markus: Some results on the structure of constacyclic codes and new linear codes over $\mathrmGF(7)$ from quasi-twisted codes (2017)
- Balakrishnan, Jennifer S.; Besser, Amnon; Müller, J.Steffen: Computing integral points on hyperelliptic curves using quadratic Chabauty (2017)
- Ballet, Stéphane; Pieltant, Julia; Rambaud, Matthieu; Sijsling, Jeroen: On some bounds for symmetric tensor rank of multiplication in finite fields (2017)
- 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)
Further publications can be found at: http://magma.maths.usyd.edu.au/magma/citations/