CONSTRUCTION OF FINITE GROUPS OF VECTORS FOR SYNTHESIS OF DIGITAL SIGNATURE ALGORITHMS
Университет ИТМО; студентка
E. S. Dernova
St. Petersburg State Electrotechnical University “LETI”, Department of Automated Systems for Information Processing and Control; Post-Graduate Student
D. N. Moldovyan
St. Petersburg Institute of Informatics and Automation, Russian Academy of Sciencies; Junior Scientist
P. A. Moldovyanu
“Vector” Research Institute, St. Petersburg; Head of Metrology Service
Abstract. The problem is analyzed of construction of commutative and noncommutative groups of m-dimensional vectors, the groups containing high-size subgroups of prime orders. Application of the groups to synthesis of digital signature algorithms is considered.
Keywords: finite groups of m-dimensional vectors, digital signature, cryptographic algorithms.