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Title: An application of different dioids in public key cryptography

Dioids provide a natural framework for analyzing a broad class of discrete event dynamical systems such as the design and analysis of bus and railway timetables, scheduling of high-throughput industrial processes, solution of combinatorial optimization problems, the analysis and improvement of flow systems in communication networks. They have appeared in several branches of mathematics such as functional analysis, optimization, stochastic systems and dynamic programming, tropical geometry, fuzzy logic. In this paper we show how to involve dioids in public key cryptography. The main goal is to create key – exchange protocols based on dioids. Additionally the digital signature scheme is presented.
Authors:
 [1]
  1. Technical University of Sofia, Faculty of Applied Mathematics and Informatics, 8 Kliment Ohridski St., Sofia 1000 (Bulgaria)
Publication Date:
OSTI Identifier:
22390653
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1631; Journal Issue: 1; Conference: AMEE'14: 40. Conference on Applications of Mathemaics in Engineering and Economics, Sozopol (Bulgaria), 8-13 Jun 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CRYPTOGRAPHY; DYNAMIC PROGRAMMING; FUNCTIONAL ANALYSIS; FUZZY LOGIC; GEOMETRY; OPTIMIZATION; PROCESS SOLUTIONS; STOCHASTIC PROCESSES