Formalization of Integral Linear Space

Yuichi Futa; Hiroyuki Okazaki; Yasunari Shidama

Formalized Mathematics (2011)

  • Volume: 19, Issue: 1, page 61-64
  • ISSN: 1426-2630

Abstract

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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].

How to cite

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Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. "Formalization of Integral Linear Space." Formalized Mathematics 19.1 (2011): 61-64. <http://eudml.org/doc/266660>.

@article{YuichiFuta2011,
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].},
author = {Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {61-64},
title = {Formalization of Integral Linear Space},
url = {http://eudml.org/doc/266660},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Yuichi Futa
AU - Hiroyuki Okazaki
AU - Yasunari Shidama
TI - Formalization of Integral Linear Space
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 1
SP - 61
EP - 64
AB - 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].
LA - eng
UR - http://eudml.org/doc/266660
ER -

References

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