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• # Artykuł - szczegóły

## Formalized Mathematics

2013 | 21 | 2 | 75-81

## N-Dimensional Binary Vector Spaces

EN

### Abstrakty

EN
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.

75-81

wydano
2013-06-01

### Twórcy

autor
• Tokyo University of Science Chiba, Japan
• This research was presented during the 2013 International Conference on Foundations of
Computer Science FCS’13 in Las Vegas, USA
autor
• Shinshu University Nagano, Japan

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