Formalization of Integral Linear Space

Yuichi Futa; Hiroyuki Okazaki; Yasunari Shidama

doi:10.2478/v10037-011-0010-9

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Formalization of Integral Linear Space

Formalized Mathematics

Volume 19 (2011): Issue 1 (March 2011)

By: Yuichi Futa, Hiroyuki Okazaki and Yasunari Shidama

Open Access

|Jul 2011

Abstract

In this article, we formalize integral linear spaces, that is a linear space with integer coefficients. Integral linear spaces are necessary for lattice problems, LLL (Lenstra-Lenstra-Lovász) base reduction algorithm that outputs short lattice base and cryptographic systems with lattice [8].

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Articles in this issue

DOI: https://doi.org/10.2478/v10037-011-0010-9 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 61 - 64

Published on: Jul 18, 2011

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2011 Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 1 (March 2011)