UNDER CONSTRUCTION

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• Pseudo-Noise Sequences with low correlation and large linear complexity for digital modem and cryptography
• Binary m-sequences
• Polyphase sequences, such as Sidelnikov sequences and Fermat-quotient sequences, etc
• Cyclic Hadamard Difference Set sequences
• Cyclotomic sequences
• Costas and Sonar sequences and two-dimensional synchronization patterns
• Frequency-Hopping sequences
• Design and analysis of error-correcting codes
• various types of LDPC codes and turbo codes
• Locally recoverable codes for distributed storage
• Fountain codes and network codes
• Index codes for efficient distribution of packets
• conventional algebraic codes and convolution codes
• Applications of error-correcting Codes
• for 5G massive IoT
• for 5G waveforms
• for military tactical communications (Air-to-ground, Combat-field, military Satellite)
• channel code detection
• Encryption algorithms
• Design and analysis of various streamciphers
• Fully homomorphic encryption
• Code-based encryption for post quantum cryptography
• Discrete and combinatorial mathematics for communciations and signal processing
• (v,k,λ) cyclic difference sets
• Hadamard designs and matrices
• finite projective planes
• mutually orthogonal latin squares  
• Edge decomposition of complete graphs
• van der Waerden number, Ramsey number, etc