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http://hdl.handle.net/11320/3675
Tytuł: | N-Dimensional Binary Vector Spaces |
Autorzy: | Arai, Kenichi Okazaki, Hiroyuki |
Słowa kluczowe: | formalization of binary vector space |
Data wydania: | 2013 |
Data dodania: | 9-gru-2015 |
Wydawca: | De Gruyter Open |
Źródło: | Formalized Mathematics, Volume 21, Issue 2, 2013, Pages 75-81 |
Abstrakt: | 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. |
Afiliacja: | Arai Kenichi - Tokyo University of Science Chiba, Japan Okazaki Hiroyuki - Shinshu University Nagano, Japan |
Opis: | This research was presented during the 2013 International Conference on Foundations of Computer Science FCS’13 in Las Vegas, USA |
URI: | http://hdl.handle.net/11320/3675 |
DOI: | 10.2478/forma-2013-0008 |
ISSN: | 1426-2630 1898-9934 |
Typ Dokumentu: | Article |
Występuje w kolekcji(ach): | Formalized Mathematics, 2013, Volume 21, Issue 2 |
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