Formalization of Integral Linear Space
Yuichi Futa ; Hiroyuki Okazaki ; Yasunari Shidama
Formalized Mathematics, Tome 19 (2011), p. 61-64 / Harvested from The Polish Digital Mathematics Library
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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].

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:266660 
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     author = {Yuichi Futa and Hiroyuki Okazaki and Yasunari Shidama},
     title = {Formalization of Integral Linear Space},
     journal = {Formalized Mathematics},
     volume = {19},
     year = {2011},
     pages = {61-64},
     zbl = {1276.15001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0010-9}
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Yuichi Futa; Hiroyuki Okazaki; Yasunari Shidama. Formalization of Integral Linear Space. Formalized Mathematics, Tome 19 (2011) pp. 61-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0010-9/

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