Abstract
AbstractSequences of random variables play a key role in probability theory, stochastic processes, and statistics to analyze dynamic behavior. Speckle patterns have emerged as useful tools to explore space–time variations of random sequences in various measurement applications of comprehensive properties in complex space–time variation events. In this chapter, a variant map system is proposed to analyze statistical properties of random sequences in visual representations. An input 0–1 sequence will be divided into multiple segments and each segment of a fixed length will be transformed into a 2-tuple pair of measures. Five measuring sets are identified and rearranged in a 1D or 2D numerical array as a histogram representing a visual map. These five types of maps consist of two types in 1D format as classical maps and three types in 2D format as variant maps. Properties are analyzed on all five types of maps. A cryptographic sequence of the AES cipher is selected as a sample stream. The five types of visual maps are generated and refined clustering characteristics are organized into four groups on changes of segmented and shifted lengths for visual comparisons on enlarged 2DP maps. Speckle patterns of various distributions are observed. Three variant maps with distinct statistic distributions could be useful to provide new visual tools to explore comprehensive cryptographic sequences on complex nonlinear dynamic behavior in global network environments.
Highlights
Associated with network communication and internet technology [1] in global applications, web communication, internet of things, cloud computing, big data, mobile phone, and smart wireless technologies [2] are significantly developed in the last decade and widely adapted over the world market. It is a key issue for cryptographic researchers and applications [3] to use advanced technologies of stream ciphers to protect data security of ultrafast and extra-big data streams in global network environments
The new generation of stream ciphers are being shifted from the traditional mode: LFSR [4] to various nonlinear modes: NLFSR [18, 19], clock control [11], nonlinear functions [9] etc., it is essential for ciphers to be integrated and implemented [20] to satisfy security models
For the purpose of system characterization based on comprehensive measurements of cryptographic sequences, we propose a variant map system for a 0–1 stochastic sequence with length N
Summary
Associated with network communication and internet technology [1] in global applications, web communication, internet of things, cloud computing, big data, mobile phone, and smart wireless technologies [2] are significantly developed in the last decade and widely adapted over the world market. It is a key issue for cryptographic researchers and applications [3] to use advanced technologies of stream ciphers to protect data security of ultrafast and extra-big data streams in global network environments
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
