Tracking -adic precision
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Publication:2878841
DOI10.1112/S1461157014000357zbMath1369.68357arXiv1402.7142OpenAlexW2100013676MaRDI QIDQ2878841
Tristan Vaccon, Xavier Caruso, David Roe
Publication date: 5 September 2014
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.7142
Symbolic computation and algebraic computation (68W30) Number-theoretic algorithms; complexity (11Y16) Algebraic number theory: local fields (11S99) Numerical algorithms for computer arithmetic, etc. (65Y04)
Related Items (8)
Fast computation of elliptic curve isogenies in characteristic two ⋮ Stable models of plane quartics with hyperelliptic reduction ⋮ Deterministic root finding over finite fields using Graeffe transforms ⋮ Numerical stability of Euclidean algorithm over ultrametric fields ⋮ Where are the zeroes of a random p-adic polynomial? ⋮ Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields ⋮ Matrix-F5 algorithms over finite-precision complete discrete valuation fields ⋮ Linear algebra over and related rings
Cites Work
- Relaxed algorithms for \(p\)-adic numbers
- The Laurent phenomenon
- On Elkies subgroups of \(\ell\)-torsion points in elliptic curves defined over a finite field
- The Magma algebra system. I: The user language
- Relax, but don't be too lazy
- New algorithms for relaxed multiplication
- p-Adic Lie Groups
- Deformation theory and the computation of zeta functions
- Overconvergent modular symbols and $p$-adic $L$-functions
- The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
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