Improved computation of polynomial roots over number fields when using complex embeddings
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Publication:6671812
DOI10.1016/J.JACA.2024.100026MaRDI QIDQ6671812
Andrea Lesavourey, Thomas Plantard, Willy Susilo
Publication date: 27 January 2025
Published in: Journal of Computational Algebra (Search for Journal in Brave)
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- Topics in computational algebraic number theory
- Isomorphisms of algebraic number fields
- Factoring polynomials over global fields
- On Lovász' lattice reduction and the nearest lattice point problem
- The Magma algebra system. I: The user language
- Short principal ideal problem in multicubic fields
- Towards faster polynomial-time lattice reduction
- Approx-SVP in ideal lattices with pre-processing
- Factoring polynomials over global fields. I
- A relative van Hoeij algorithm over number fields
- Polynomial factorization algorithms over number fields
- Twisted-PHS: using the product formula to solve approx-SVP in ideal lattices
- New techniques for computing the ideal class group and a system of fundamental units in number fields
- Square Root Algorithms for the Number Field Sieve
- An LLL Algorithm with Quadratic Complexity
- Floating-Point LLL: Theoretical and Practical Aspects
- Short Generators Without Quantum Computers: The Case of Multiquadratics
- Recovering Short Generators of Principal Ideals in Cyclotomic Rings
- Log-\(\mathcal{S}\)-unit lattices using explicit Stickelberger generators to solve approx ideal-SVP
- Fast practical lattice reduction through iterated compression
- On the hardness of the NTRU problem
- Fast multiquadratic S-unit computation and application to the calculation of class groups
- Norm relations and computational problems in number fields
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