9004 Problems of information security. Computer systems Проблемы информационной безопасности. Компьютерные системы 2071-8217 2 10.48612/jisp/5zh4-tu6r-fgk8 Ensuring data integrity based on number-theoretical Gauss transformations Обеспечение целостности данных на основе теоретико-числовых преобразований Гаусcа 0000-0002-0546-7801 Sopin Kirill sopin.kirill2010@yandex.ru 0000-0002-7578-997X Povchun Ivan Powchun2014@yandex.ru 0000-0002-0644-4353 Dichenko Sergei dichenko.sa@yandex.ru 0000-0001-9665-2174 Samoilenko Dmitry 19sam@mail.ru Krasnodar Higher Military School named after General of the Army S. M. Shtemenko Krasnodar Higher Military School named after S. M. Shtemenko 10 06 2022 2 20 29

The problem of information security in modern conditions of application and function ing of information systems, complicated by the continuous growth of the volume and value of processed information, is considered in the article. A method for ensuring data integrity based on numerical-theoretic Gauss transformations is presented.

 information system information protection control and restoration of data integrity complex numbers