Realization problems of cryptographic transformations by transfer of modular data in security systems

Author

Ivanovich, Chervyakov Nikolai ; Grigor´evich, Babenko Mikhail ; Sergeevich, Nazarov Anton ; Igorevna, Garianina Anastasiia

Author_Institution

Dept. of Appl. Math. & Math. Modeling, North Caucasian Fed. Univ. - NCFU, Stavropol, Russia

fYear

2015

fDate

21-23 May 2015

Firstpage

1

Lastpage

5

Abstract

This paper shows the results of the research aimed to find most efficient method of computation residue of dividing multi digit numbers by numbers of standard digit capacity. It is shown that application of the distributed arithmetic allows processing multi digit numbers (more than 64-bit long) of any length by using only hardware resources of field-programmable gate array. It appears that there is a relation between value of partition parameter B and time for finding residue of division.

Keywords

cryptography; distributed arithmetic; field programmable gate arrays; residue number systems; telecommunication security; cryptographic transformation; distributed arithmetic; field programmable gate array; modular data transfer; multidigit number processing; security system; Elliptic curve cryptography; Elliptic curves; Field programmable gate arrays; Hardware; Programming environments; Runtime; field-programmable gate array; multi digit numbers; the residue number system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Communications (SIBCON), 2015 International Siberian Conference on

Conference_Location

Omsk

Print_ISBN

978-1-4799-7102-2

Type

conf

DOI

10.1109/SIBCON.2015.7146986

Filename

7146986