THE DIFFI-HELLMANA PROTOCOL ON THE SET OF SINGULAR SIMPLE NUMBERS

Authors

  • А. Білецький National Aviation University
  • О. Семенюк National Aviation University

DOI:

https://doi.org/10.18372/2310-5461.16.5216

Keywords:

protocol of forming secret keys, simple numbers, singular simple numbers

Abstract

Introduced the class of the singular prime numbers, based on which proposed the algorithm of significantly reduce computing time spent on the choice of suitable values for the Diffie–Hellman protocols.

References

Diffe W. New Directions in Cryptography / W. Diffe, V. E. Hellman // IEEE Transact. On Information Theory, V. IT-22, no. 6, Nov, 1976. — Р. 644–654.

Лидл Р. Конечные поля / Р. Лидл, Г. Нидеррайтер. — Т. 1. — М. : Мир, 1988. — 432 с.

Василенко О. Н. Теоретико-числовые алгоритмы в криптографии / О. Н. Василенко. — M. : МЦНМО, 2003. — 328 c.

Гиндикин С. Г. Малая теорема Ферма // Квант / С. Г. Гиндикин. — 1972. — № 10.

Числа Кармайкла. — Электронный ресурс . — Режим доступа : Википедиа.



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Published

2012-12-11

How to Cite

Білецький, А., & Семенюк, О. (2012). THE DIFFI-HELLMANA PROTOCOL ON THE SET OF SINGULAR SIMPLE NUMBERS. Science-Based Technologies, 16(4), 63–68. https://doi.org/10.18372/2310-5461.16.5216

Issue

Vol. 16 No. 4 (2012)

Section

Information and Communication Systems and Networks

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