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Prikladnaya Diskretnaya Matematika, 2022, Number 58, Pages 22–30
DOI: https://doi.org/10.17223/20710410/58/3 (Mi pdm782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Theoretical Backgrounds of Applied Discrete Mathematics

On ideal class group computation of imaginary multiquadratic fields

S. A. Novoselov

Immanuel Kant Baltic Federal University, Kaliningrad, Russia
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DOI: https://doi.org/10.17223/20710410/58/3
Abstract: In the paper, we extend Biasse — van Vredendaal (OBS, 2019, vol. 2) implementation and experiments of the class group computation from real to imaginary multiquadratic fields. The implementation is optimized by introducing an explicit prime ideal lift operation and by using LLL reduction instead of HNF computation. We provide examples of class group computation of the imaginary multiquadratic fields of degree 64 and 128, that has been previously unreachable.
Keywords: multiquadratic field, ideal class group.
Funding agency Grant number
Russian Science Foundation 22-41-04411
The research was funded by the Russian Science Foundation (project No. 22-41-04411, https://rscf.ru/en/project/22-41-04411/).
Bibliographic databases:
Document Type: Article
UDC: 511.23
Language: English
Citation: S. A. Novoselov, “On ideal class group computation of imaginary multiquadratic fields”, Prikl. Diskr. Mat., 2022, no. 58, 22–30
Citation in format AMSBIB
\Bibitem{Nov22}
\by S.~A.~Novoselov
\paper On ideal class group computation of imaginary multiquadratic fields
\jour Prikl. Diskr. Mat.
\yr 2022
\issue 58
\pages 22--30
\mathnet{http://mi.mathnet.ru/pdm782}
\crossref{https://doi.org/10.17223/20710410/58/3}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4542115}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Прикладная дискретная математика
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