Encryption system based on abelian groups and rings-Reference-Cited by-同舟云学术

Encryption system based on abelian groups and rings

Published:2020-09 Issue:2-3 Volume: Page:270-277
ISSN:1727-4907
Container-title:PROBLEMS IN PROGRAMMING
language:
Short-container-title:PP

Author:

Kryvyi S.L.^ORCID,

Abstract

A simple encryption system is based on properties of abelian group an associative and commutative rings with unit is proposed. The algorithms with quadratic time complexity and memory complexity are proposed. The examples of using such system and the generalization of this system for using of gomofons are considered. To show how to appear the set of gomofons by natural way is used a simple example of massage. Tab. 5. Ref. 3 titles.

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)

Reference5 articles.

1. 1. Kaluznin L.A. Introduction to general algebra. М.: Nauka. 1973. 447 p.

2. 2. Sergienko I.V., Kryvyi S.L., Provotar O.I. Algebraic aspects of informational technologies. K.:Interservice. 2018. 411 p.

3. 3. Cooke D.J., Bez H.E. Computer mathematics. Cambridge University Press. Cambridge. 1984. 384 p.

4. 4. Menezes A., van Oorschot P., Vanstons S. Handbook of Applied Cryptography. CRC Press. 1996. 661 p.

5. 5. Coblitz N. A course of number theory and cryptography. М.: ТВП. 2001. 260 p.

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