Криптографски свойства на булевите функции
Cryptographic Properties of Boolean Functions
Author(s): Teodora TodorovaSubject(s): Economy, Geography, Regional studies, Library and Information Science, Geomatics, Information Architecture, Electronic information storage and retrieval, ICT Information and Communications Technologies
Published by: Великотърновски университет „Св. св. Кирил и Методий”
Keywords: Boolean functions; cryptographic properties; nonlinearity; balancedness; resiliency; avalanche.
Summary/Abstract: This paper presents the main cryptographic properties of Boolean functions, which play a crucial role in the design of modern cryptographic algorithms. The study includes representations such as truth tables and algebraic normal forms. Special focus is given to analyzing essential properties including balancedness, nonlinearity, correlation immunity, resiliency, and the avalanche e_ect. A detailed case analysis of a sample Boolean function illustrates the impact of these properties on resistance to cryptanalytic attacks. The results highlight the importance of achieving a balance between di_erent properties in the construction of secure Boolean functions.
Journal: Математика, компютърни науки и образование
- Issue Year: 9/2026
- Issue No: 1
- Page Range: 15-24
- Page Count: 10
- Language: English, Bulgarian
