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• # Artykuł - szczegóły

## Formalized Mathematics

2014 | 22 | 3 | 269-275

## Difference of Function on Vector Space over F

EN

### Abstrakty

EN
In [11], the definitions of forward difference, backward difference, and central difference as difference operations for functions on R were formalized. However, the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F have not been formalized. In cryptology, these definitions are very important in evaluating the security of cryptographic systems [3], [10]. Differential cryptanalysis [4] that undertakes a general purpose attack against block ciphers [13] can be formalized using these definitions. In this article, we formalize the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F. Moreover, we formalize some facts about these definitions.

EN

269-275

wydano
2014-09-01
otrzymano
2014-09-26
online
2015-04-30

### Twórcy

autor
• Tokyo University of Science Chiba, Japan
autor
• Shinshu University Nagano, Japan
autor
• Shinshu University Nagano, Japan

### Bibliografia

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