On the computation of the HNF of a module over the ring of integers of a number field-Reference-Cited by-同舟云学术

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On the computation of the HNF of a module over the ring of integers of a number field

Published:2017-05 Issue: Volume:80 Page:581-615
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Biasse Jean-François,Fieker Claus,Hofmann Tommy

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference24 articles.

1. Topics in computational algebraic number theory;Belabas;J. Théor. Nr. Bordx.,2004

2. Fast multiplication and its applications;Bernstein,2008

3. A polynomial time algorithm for computing the hnf of a module over the integers of a number field;Biasse,2012

4. Computations with finitely generated modules over Dedekind rings;Bosma,1991

5. Perturbation analysis of the QR factor R in the context of LLL lattice basis reduction;Chang;Math. Comput.,2012

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1. Algebraic number fields and the LLL algorithm;Journal of Symbolic Computation;2024-03

2. An algorithm for solving the principal ideal problem with subfields;Advances in Mathematics of Communications;2023

3. On Module Unique-SVP and NTRU;Advances in Cryptology – ASIACRYPT 2022;2022

4. Computation of lattice isomorphisms and the integral matrix similarity problem;Forum of Mathematics, Sigma;2022

5. Constructing totally p-adic numbers of small height;International Journal of Number Theory;2021-08-31

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