On arithmetical algorithms over finite fields
Journal of Combinatorial Theory Series A
Fast construction of irreducible polynomials over finite fields
Journal of Symbolic Computation
Asymptotically fast computation of subresultants
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Lattices of compatibly embedded finite fields
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Modern computer algebra
Isomorphisms between Artin-Schreier towers
Mathematics of Computation
Sylvester—Habicht sequences and fast Cauchy index computation
Journal of Symbolic Computation
Fast library for number theory: an introduction
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
Genus 2 point counting over prime fields
Journal of Symbolic Computation
Fast arithmetics in Artin-Schreier towers over finite fields
Journal of Symbolic Computation
Fast Polynomial Factorization and Modular Composition
SIAM Journal on Computing
Algorithms for the universal decomposition algebra
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation
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Inspired by previous work of Shoup, Lenstra-De Smit and Couveignes-Lercier, we give fast algorithms to compute in the first levels of) the l-adic closure of a finite field. In many cases, our algorithms have quasi-linear complexity.