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http://hdl.handle.net/11320/3627
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Futa, Yuichi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:05:19Z | - |
dc.date.available | 2015-12-06T19:05:19Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 1, 2012, Pages 47-59 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3627 | - |
dc.description.abstract | In this article, we formalize Z-module, that is a module over integer ring. ℤ-module is necassary for lattice problems, LLL (Lenstra-Lenstra-Lovász) base reduction algorithm and cryptographic systems with lattices [11]. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | ℤ-modules | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0007-z | - |
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. Curried and uncurried functions. Formalized Mathematics, 1(3):537-541, 1990. | - |
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dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. | - |
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Występuje w kolekcji(ach): | Formalized Mathematics, 2012, Volume 20, Issue 1 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
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v10037-012-0007-z.pdf | 294,18 kB | Adobe PDF | Otwórz |
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