BERNULLI NUMBERS IN CRYPTOGRAPHY
Section: GENERAL SECTION
Authors:
1.
Voronezh State University
Russian Federation
Russian Federation
Type:
Сonference article
Pages:
from 146
to 153
Published:
30.12.2025
Subject area:
UDC 003.26
Language:
Russian
Keywords:
encryption, Bernoulli numbers, cryptography, data security, recurrence relations
Abstract (English):
This paper presents an encryption method based on Bernoulli numbers. A mathematical description of the method is given, including recurrence relations for generating Bernoulli numbers and an algorithm for their application in a cryptographic cipher. The algorithm for converting text into a numerical sequence is implemented, followed by encryption and decryption based on arithmetic operations with Bernoulli numbers.
This paper presents an encryption method based on Bernoulli numbers. A mathematical description of the method is given, including recurrence relations for generating Bernoulli numbers and an algorithm for their application in a cryptographic cipher. The algorithm for converting text into a numerical sequence is implemented, followed by encryption and decryption based on arithmetic operations with Bernoulli numbers.
Keywords:
encryption, Bernoulli numbers, cryptography, data security, recurrence relations
encryption, Bernoulli numbers, cryptography, data security, recurrence relations
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