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Variant Construction from Theoretical Foundation to Applications

Jeffrey Zheng (eds.)

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No requiere 2019 SpringerLink acceso abierto

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Tipo de recurso:

libros

ISBN impreso

978-981-13-2281-5

ISBN electrónico

978-981-13-2282-2

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© The Editor(s) (if applicable) and The Author(s) 2019

Tabla de contenidos

Biometrics and Knowledge Management Information Systems

Jeffrey Zheng; Chris Zheng

Biometrics and knowledge management information systems are two important fields in recent years to attract wider attentions from different social groups. This chapter explores the use of hierarchical construction linking with biometrics applications and knowledge management information systems. The key issues are discussed and a sample case of information acquisition in content-based image retrieval system has been illustrated.

Part V - Applications—Global Variant Functions | Pp. 193-202

Recursive Measures of Edge Accuracy on Digital Images

Jeffrey Zheng; Chris Zheng

In this chapter, an edge accuracy model is proposed on digital images and five types of edge detection methods are discussed as examples to investigate their edge maps undertaken recursive operations. Using invariant criterion, it is possible to compare different schemes in accuracy, consistency, completeness and simplicity. This provides general mechanism in relation to accurate edge extractions from digital images.

Part V - Applications—Global Variant Functions | Pp. 203-215

2D Spatial Distributions for Measures of Random Sequences Using Conjugate Maps

Qingping Li; Jeffrey Zheng

Advanced visual tools are useful to provide additional information for modern information warfare. 2D spatial distributions of random sequences play an important role to understand properties of complex sequences. This chapter proposes time sequences from a given logical function of 1D cellular automata in both Poincare map and conjugate map. Multiple measure sequences of Markov chains can be used to display spatial distributions using conjugate maps. Measure sequences are recursively produced by different logical functions generating maps. Possible complementary feature exists between pair functions. Conjugate symmetry relationships between a pair of logical functions in conjugate maps can be observed.

Part V - Applications—Global Variant Functions | Pp. 217-235

Permutation and Complementary Algorithm to Generate Random Sequences for Binary Logic

Jie Wan; Jeffrey Zheng

Randomness number generation plays a key role in network, information security, and IT applications. In this chapter, a permutation and complementary algorithm is proposed to use vector complementary and permutation operations to extend -variable logic function space from functions to configurations for variant logic framework. Each configuration contains functions that can be shown in a matrix. A set of visual results can be represented by their symmetric properties in W, F, and C codes, respectively, to provide the essential support on the variant logic framework.

Part V - Applications—Global Variant Functions | Pp. 237-245

3D Visual Method of Variant Logic Construction for Random Sequence

Huan Wang; Jeffrey Zheng

As Internet security threats continue to evolve, in order to ensure information transmission security, various encrypts and decrypts have been used in channel coding and decoding of data communication. While cryptography requires a very high degree of apparent randomness, random sequences play an important role in cryptography. Both Cellular Automata (CA) and RC4 contain pseudorandom number generators and may have intrinsic properties, respectively. In this chapter, a 3D visualization model 3DVM is proposed to display spatial characteristics of the random sequences from CA or RC4 keystream. Key components of this model and core mechanism are described. Every module and their I/O parameters are discussed, respectively. A serial of logic function of CA is selected as examples to compare with some RC4 keystreams to show their intrinsic properties in three-dimensional space. Visual results are briefly analyzed to explore their intrinsic properties including similarity and difference. The results provide support to explore the RC4 algorithm by using 3D dimensional visualization tools to organize its interactive properties as visual maps.

Part V - Applications—Global Variant Functions | Pp. 247-261

Synchronous Property—Key Fact on Quantum Interferences

Jeffrey Zheng

Double-slit experiment plays a key role in Quantum Theory to distinct particle and wave interactions according to Feynman’s claims. In this chapter, double path model and variant logic principle are applied to establish a simulation system for exhaustive testing targets. Using Einstein quanta interaction, different measure quaternion structures are investigated. Under Symmetry/Anti-symmetry and Synchronous/Asynchronous interaction conditions, eight groups of statistical results are generated as eight histograms to show their distributions. From this set of simulation results, it can be recognized that the synchronous condition is the key fact to generate quantum wave interference patterns and, in addition, the asynchronous condition is the key fact to make classic particle distributions. Sample results are illustrated and explanations are discussed.

Part VI - Applications—Quantum Simulations | Pp. 265-277

The th Root of NOT Operators of Quantum Computers

Jeffrey Zheng

This chapter proposes a novel approach to resolve the th root of NOT problem for quantum computers using (−1, 0, 1) permutation matrices. Only logic NOT and exchange operations are required. This result provides a complete solution to design and implement the th root of NOT operators of quantum computers.

Part VI - Applications—Quantum Simulations | Pp. 279-286

Novel Pseudorandom Number Generation Using Variant Logic Framework

Jeffrey Zheng

Cybersecurity requires cryptology for the basic protection. Among different ECRYPT technologies, stream cipher plays a central role in advanced network security applications; in addition, pseudorandom number generators are placed in the core position of the mechanism. In this chapter, a novel method of pseudorandom number generation is proposed to take advantage of the large functional space described using variant logic, a new framework for binary logic. Using permutation and complementary operations on classical truth table to form relevant variant table, numbers can be selected from table entries having pseudorandom properties. A simple generation mechanism is described and shown, and pseudorandom sequences are analyzed for their cycle property and complexity. Applying this novel method, it can play a useful role in future applications for higher performance of cybersecurity environments.

Part VII - Applications—Binary Sequences | Pp. 289-295

RC4 Cryptographic Sequence on Variant Maps

Zhonghao Yang; Jeffrey Zheng

In modern cyberspace environment, big data streams are the most important issue in people’s daily lives, each person produces a larger number of data streams every day from personal computer, cell phone, and kinds of wearable smart device. Security risks of storage and transmission of data streams may lead to personal privacy disclosure, it is important for network security to have useful tools facing challenges. Randomness testing provides useful tools to secure results of stream ciphers. Based on multiple statistical probability distributions, this chapter presents a visual scheme, variant maps, to measure a whole cryptographic sequence into multiple 1D and 2D maps. Mapping mechanism and sample cases are provided.

Part VII - Applications—Binary Sequences | Pp. 297-306

Refined Stationary Randomness of Quantum Random Sequences on Variant Maps

Jeffrey Zheng; Yamin Luo; Zhefei Li

In this chapter, a testing model is used to apply statistical probability in multiple distributions on three maps for a selected sequence to check refined stationary randomness on quantum sequences. Three random data sequences are collected from two quantum random resources: one from Australian National University (ANU) and two (initial and secure) from University of Science and Technology of China (USTC). Multiple results are created on three maps, and measurements of stationary randomness are illustrated and compared. Three samples show distinct stationary properties.

Part VII - Applications—Binary Sequences | Pp. 307-320