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    CORRELATION PROPERTIES OF SEQUENCES OVER FINITE FIELDS
    (2024-01) Qasm, Rashid Hussein Qasm
    This thesis investigates the correlation properties of sequences over finite fields and explores their applications in communication systems, cryptography, and signal processing. The study focuses on algorithms for generating sequences with favorable correlation properties, giving special attention to the distinctive features of Zadoff-Chu sequences. The initial sections provide a thorough overview of finite fields and their relevance to sequence generation. The report introduces key algorithms for constructing sequences, emphasizing their impact on correlation properties. The Zadoff-Chu sequence, a well-established class known for its unique characteristics, is examined in detail for its suitability in communication and radar applications. An analysis of correlation functions is presented, exploring correlation properties of sequences over finite fields. This research contributes to a broader understanding of sequence design over finite fields, offering insights into correlation aspects for applications.