Enhancing Cryptographic System Security based on Finite Fields

An analysis of modern research in the field of post-quantum cryptography is carried out, which demonstrates the importance of developing algorithms capable of resisting quantum threats. Alternative approaches to optimizing cryptographic systems based on error correction codes have been explored. It...

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Bibliographic Details
Main Authors: Davletova, Alina, Yatskiv, Vasyl, Ivasiev, Stepan, Kulyna, Serhii, Tsavolyk, Taras, Drapak, Volodymyr
Format: Conference Proceeding
Language:English
Subjects:
Ciphers
Complexity theory
Computer security
cryptographic system
Cryptography
Encryption
Error correction codes
Finite element analysis
finite fields of Galois
Galois fields
Information technology
Resistance
security
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Summary:An analysis of modern research in the field of post-quantum cryptography is carried out, which demonstrates the importance of developing algorithms capable of resisting quantum threats. Alternative approaches to optimizing cryptographic systems based on error correction codes have been explored. It is proposed to use \boldsymbol{G F}(\boldsymbol{q}) for the development of stable cryptographic systems, which provides a high degree of randomness and unpredictability of encryption. The use of finite Galois fields for key generation enables the adaptation of security levels to specific needs and requirements by selecting the field size, thereby enhancing the security and efficiency of encryption systems.
ISSN:2770-5226
DOI:10.1109/ACIT62333.2024.10712491