CRYPTOGRAPHIC ANALYSIS OF THE CODE STRUCTURES OF HERMITE CURVE FOR COMPLIANCE WITH THE REQUIREMENTS OF INFORMATION SECURITY SYSTEMS
Abstract
Building security systems based on the algebraic-geometric codes is possible with the use of various algebraic structures with cryptographic security. This paper investigates the properties of the code sequences, built on the Hermite curve in the field GF(16), their testing on the subject of the requirements for cryptographic transformations was conducted. Cryptographic analysis is performed using spectral transformations. Encrypted sequences quality metrics such as nonlinearity, balance, linear complexity are evaluated.
About the Authors
V. V. Pankova
Белорусский государственный университет информатики и радиоэлектроники
Belarus
Belarus
S. B. Salomatin
Белорусский государственный университет информатики и радиоэлектроники
Belarus
Belarus
References
1. Грабчак В.И., Мельник А.П. // Вiсник СумДУ. Сер. технiчнi навукі. 2009. № 4. С. 94-100.
2. Онанченко Е.Л. // Системи обробки iнформацiї. 2007. № 7. С. 53-58.
3. Влэдуц С.Г., Ногин Д.Ю., Цфасман М.А. Алгебро-геометрические коды. Основные понятия. М., 2003.
4. Niebuhr R. Application of algebraic-geometric codes in cryptography. Darmstadt, 2006.
5. Саломатин С.Б. Поточные криптосистемы. Минск, 2006.
6. Justesen J., Larsen K., Havemose A. e.t al. // IEEE Transactions Information Theory. July 1989. P. 811-821.
Review
For citations:
Pankova V.V., Salomatin S.B. CRYPTOGRAPHIC ANALYSIS OF THE CODE STRUCTURES OF HERMITE CURVE FOR COMPLIANCE WITH THE REQUIREMENTS OF INFORMATION SECURITY SYSTEMS. Doklady BGUIR. 2014;(3):58-63. (In Russ.)
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