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Improvement of CPRNG of the PM-DC-LM Mode and Comparison with its Previous Version

Authors:
Petr Zacek
Roman Jasek
David Malanik

Keywords: Deterministic Chaos; Logistic Map; CPRNG; Symmetric Cryptography; Block Cipher; Block Cipher Mode of Operation; PM-DC-LM.

Abstract:
This paper presents the last results from our research focused on proposing the polymorphous mode of operation of block ciphers. The first attempt was based on Chaotic Pseudo-Random Number Generator (CPRNG) using logistic maps and it is called Polymorphous Mode – Deterministic Chaos – Logistic Maps mode (PM-DC-LM). CPRNG controls the polymorphous behavior of this mode. The CPRNG returns two values, g and d. Value g represents the last three digits of the number generated by CPRNG and the value d represents the last digit. Based on these two values, function F is controlled. In the initially proposed actual version, the CPRNG was limited in generating values ending by digits from one to nine. Thus, this leads to a non-optimal probabilistic distribution of values g and d. Therefore, an improvement is necessary. This paper shows the principle for improving the CPRNG in the PM-DC-LM mode and how to ensure the whole interval of values for g and d is generated, including numbers ending with zero. The principle is applied on the CPRNG and then it is tested. The differences between the actual and the upgraded version of the PM-DC-LM are described using the probabilistic distribution of generated values g and d. The entropies for values g and d of actual and upgraded versions are also calculated. These calculations are based on one million samples of values g and d.

Pages: 57 to 62

Copyright: Copyright (c) IARIA, 2016

Publication date: July 24, 2016

Published in: conference

ISSN: 2162-2116

ISBN: 978-1-61208-493-0

Location: Nice, France

Dates: from July 24, 2016 to July 28, 2016