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Standard Lattices of Compatibly Embedded Finite Fields
2019
Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation - ISSAC '19
Lattices of compatibly embedded finite fields are useful in computer algebra systems for managing many extensions of a finite field F p at once. They can also be used to represent the algebraic closurē F p , and to represent all finite fields in a standard manner. The most well known constructions are Conway polynomials, and the Bosma-Cannon-Steel framework used in Magma. In this work, leveraging the theory of the Lenstra-Allombert isomorphism algorithm, we generalize both at the same time.
doi:10.1145/3326229.3326251
dblp:conf/issac/FeoRR19
fatcat:apiarmycvbgmrkubhhrhkzc5ie