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http://hdl.handle.net/11320/3675
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Pole DC | Wartość | Język |
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dc.contributor.author | Arai, Kenichi | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.date.accessioned | 2015-12-09T20:39:33Z | - |
dc.date.available | 2015-12-09T20:39:33Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 2, 2013, Pages 75-81 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3675 | - |
dc.description | This research was presented during the 2013 International Conference on Foundations of Computer Science FCS’13 in Las Vegas, USA | - |
dc.description.abstract | The binary set {0, 1} together with modulo-2 addition and multiplication is called a binary field, which is denoted by F2. The binary field F2 is defined in [1]. A vector space over F2 is called a binary vector space. The set of all binary vectors of length n forms an n-dimensional vector space Vn over F2. Binary fields and n-dimensional binary vector spaces play an important role in practical computer science, for example, coding theory [15] and cryptology. In cryptology, binary fields and n-dimensional binary vector spaces are very important in proving the security of cryptographic systems [13]. In this article we define the n-dimensional binary vector space Vn. Moreover, we formalize some facts about the n-dimensional binary vector space Vn. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | formalization of binary vector space | - |
dc.title | N-Dimensional Binary Vector Spaces | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2013-0008 | - |
dc.description.Affiliation | Arai Kenichi - Tokyo University of Science Chiba, Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University Nagano, Japan | - |
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