This $794,738 Project Grant from the National Science Foundation's Computer and Information Science and Engineering program will fund research into highly nonlinear and pseudorandom structures for communications and sensing at The University Corporation from October 1, 2022 to September 30, 2025. The awardee will investigate sequences, Boolean functions, and related mathematical structures that are significant for information theory and have applications in communications networks, remote sensing, scientific instrumentation, and cryptography. Researchers will study the correlation spectra of sequence families to evaluate their performance for communications and sensing, and examine Boolean functions like finite field power maps that are often used as cryptographic primitives, paying special attention to Walsh and differential spectra which indicate resistance to attacks. The goal is to better understand known structures and guide the search for new examples with superior properties. Both empirical and theoretical work is involved to calculate performance metrics and identify promising areas for further investigation.