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http://hdl.handle.net/11320/3597Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Futa, Yuichi | - |
| dc.contributor.author | Okazaki, Hiroyuki | - |
| dc.contributor.author | Shidama, Yasunari | - |
| dc.date.accessioned | 2015-12-06T19:04:21Z | - |
| dc.date.available | 2015-12-06T19:04:21Z | - |
| dc.date.issued | 2011 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 19, Issue 1, 2011, Pages 61-64 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.issn | 1898-9934 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/3597 | - |
| dc.description.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]. | - |
| dc.language.iso | en | - |
| dc.publisher | De Gruyter Open | - |
| dc.title | Formalization of Integral Linear Space | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/v10037-011-0010-9 | - |
| dc.description.Affiliation | Futa Yuichi - Shinshu University, Nagano, Japan | - |
| dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University, Nagano, Japan | - |
| dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
| dc.description.references | Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990. | - |
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| dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. | - |
| dc.description.references | Wojciech A. Trybulec. Basis of real linear space. Formalized Mathematics, 1(5):847-850, 1990. | - |
| dc.description.references | Wojciech A. Trybulec. Linear combinations in real linear space. Formalized Mathematics, 1(3):581-588, 1990. | - |
| dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
| dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. | - |
| dc.description.references | Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992. | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2011, Volume 19, Issue 1 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| v10037-011-0010-9.pdf | 251,61 kB | Adobe PDF | Otwórz |
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