# Formalization of Integral Linear Space

Yuichi Futa; Hiroyuki Okazaki; Yasunari Shidama

Formalized Mathematics (2011)

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

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topYuichi 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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