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| * Till Steger's [[http://eprint.iacr.org/2006/404|Diplom thesis]] | * Till Stegers' [[http://eprint.iacr.org/2006/404|Diplom thesis]] |
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| * Till Steger's Magma [[http://wwwcsif.cs.ucdavis.edu/~stegers/f5_magma.tar.gz|implementation]] of F5 | * Till Stegers' Magma [[http://wwwcsif.cs.ucdavis.edu/~stegers/f5_magma.tar.gz|implementation]] of F5 |
F5 Project at Sage Days 12
Participants
- Martin Albrecht
- John Perry
Questions/Tasks
- Does F5 terminate for all inputs and can it be proven? What adaptations are necessary if not.
- What is the relationship between the F5 criteria and the Buchberger criteria?
- Come up with an F4-style F5.
Literature
Faugere's original paper
Till Stegers' Diplom thesis
Justin Gash's PhD thesis on F5
Christian Eder: On The Criteria Of The F5 Algorithm
Christian Eder: The Algorithmic Behaviour of the F5 Algorithm
Code
John Perry's Singular implementation of F5 (three variants)
Till Stegers' Magma implementation of F5
Simon King's Sage/Cython implementation of F5
Martin Albrecht's Sage/Python implementation of F5 (three variants)
Martin Albrecht's Sage/Python implementation of Matrix F5