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Doctoral dissertation in Mathematics and informatics: Research on development of methods of graph theory and automata in steganography and searchable encryption

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The purpose of the dissertation is to research on the development of new and quality solutions using graph theory and automata, suggesting their applications in, and applying them to steganography and searchable encryption. | MINISTRY OF EDUCATION AND TRAINING HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY Nguyen Huy Truong RESEARCH ON DEVELOPMENT OF METHODS OF GRAPH THEORY AND AUTOMATA IN STEGANOGRAPHY AND SEARCHABLE ENCRYPTION DOCTORAL DISSERTATION IN MATHEMATICS AND INFORMATICS Hanoi - 2020 MINISTRY OF EDUCATION AND TRAINING HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY Nguyen Huy Truong RESEARCH ON DEVELOPMENT OF METHODS OF GRAPH THEORY AND AUTOMATA IN STEGANOGRAPHY AND SEARCHABLE ENCRYPTION Major Mathematics and Informatics Major code 9460117 DOCTORAL DISSERTATION IN MATHEMATICS AND INFORMATICS SUPERVISORS 1. Assoc. Prof. Dr. Sc. Phan Thi Ha Duong 2. Dr. Vu Thanh Nam Hanoi - 2020 DECLARATION OF AUTHORSHIP I hereby certify that I am the author of this dissertation and that I have completed it under the supervision of Assoc. Prof. Dr. Sc. Phan Thi Ha Duong and Dr. Vu Thanh Nam. I also certify that the dissertation s results have not been published by other authors. Hanoi February 03 2020 PhD. Student Nguyen Huy Truong Supervisors Assoc. Prof. Dr. Sc. Phan Thi Ha Duong Dr. Vu Thanh Nam ACKNOWLEDGMENTS I am extremely grateful to Assoc. Prof. Dr. Sc. Phan Thi Ha Duong. I want to thank Dr. Vu Thanh Nam. I would also like to extend my deepest gratitude to Late Assoc. Prof. Dr. Phan Trung Huy. I would like to thank my co-workers from School of Applied Mathematics and Informatics Hanoi University of Science and Technology for all their help. I also wish to thank members of Seminar on Mathematical Foundations for Computer Science at Institute of Mathematics Vietnam Academy of Science and Technology for their valuable comments and helpful advice. I give thanks to PhD students of Late Assoc. Prof. Dr. Phan Trung Huy for sharing and exchanging information in steganography and searchable encryption. Finally I must also thank my family for supporting all my work. CONTENTS Page LIST OF SYMBOLS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii LIST OF ABBREVIATIONS . . . . . . . . . .