ПОБУДОВА МАТЕМАТИЧНОЇ ГРУПИ СИМЕТРИЧНИХ ОПЕРАЦІЙ НА ОСНОВІ ДОДАВАННЯ ЗА МОДУЛЕМ ДВА. THE SYMMETRIC OPERATIONS’ MATHEMATICAL GROUP CONSTRUCTING BASED ON MODULO-2 ADDITION

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dc.contributor.authorЛада, Наталія Володимирівна
dc.contributor.authorLada, Nataliia
dc.contributor.authorКозловська, Світлана Григоріївна
dc.contributor.authorKozlovska, Svіtlana
dc.contributor.authorРудницький, Сергій Володимирович
dc.contributor.authorRudnytskyi, Serhii
dc.date.accessioned2023-10-01T16:05:07Z
dc.date.available2023-10-01T16:05:07Z
dc.date.issued2019
dc.description.abstractThe article is devoted to improving the quality of the stream ciphering systems for confidential information encryption through increasing the variability of cryptographic transformations by using a new group of two-operand two-bit operations synthesized basing on modulo-2 addition. For achieving the aim, a comparative analysis of two-operand operations with one-operand operations was performed, which showed that the first four operations can be obtained basing on the first four one-operand operations of the first operand processing, by adding the modulo-2 addition operation of their base operation of transforming the second operand, and by modulo-2 adding the basic operation of processing the second operand it can be obtained the other two-operand operations from inversion operations’ subgroups. The results of classifying a group of two- operand two-bit symmetric operations of information’s cryptographic transformation were visualized, which made it possible to establish relationships between groups of one-and two-operand operations. Basing on the obtained results, a method for synthesizing the operations’ group of modulo-2 addition is developed for stream ciphering based on the modulo-2 addition operation. The method’s crux is in the base group’s two-bit two-operand operations synthesis, based on combining the same basic operations of converting the first and second operands by modulo-2 addition. Constructing a complete mathematical group of these operations is carried out by the additional use of permutation operations and operands’ inversion of the base group operations. The application of the method allows synthesizing all the twenty-four modifications of two-bit symmetric modulo-2 addition operations based on applying the three basic one-operand two-bit operations of information cryptographic conversion.uk_UA
dc.identifier.urihttp://elar.naiau.kiev.ua/jspui/handle/123456789/25674
dc.language.isouk_UAuk_UA
dc.subjectкриптографічна операціяuk_UA
dc.subjectмодифікації операціїuk_UA
dc.subjectматематична група операційuk_UA
dc.subjectдодавання за модулемuk_UA
dc.subjectмоделі операціїuk_UA
dc.subjectпотокове шифруванняuk_UA
dc.subjectcryptographic operationuk_UA
dc.subjectmodifications of operationsuk_UA
dc.subjectmathematical group of operationsuk_UA
dc.subjectmodule additionuk_UA
dc.subjectoperation modelsuk_UA
dc.subjectstreaming encryptionuk_UA
dc.titleПОБУДОВА МАТЕМАТИЧНОЇ ГРУПИ СИМЕТРИЧНИХ ОПЕРАЦІЙ НА ОСНОВІ ДОДАВАННЯ ЗА МОДУЛЕМ ДВА. THE SYMMETRIC OPERATIONS’ MATHEMATICAL GROUP CONSTRUCTING BASED ON MODULO-2 ADDITIONuk_UA
dc.typeArticleuk_UA
local.udk004.056.55:004.312.2uk_UA
local.vidНаукові періодичні видання, мультимедійні презентації, засоби контролю знань, спеціалізовані компьютерні програми.uk_UA
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