Finite Fields: Theory and Computation

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Focusing on computational and algorithmic challenges in finite fields, this book covers polynomial factorization, irreducible and primitive polynomials, and their applications in areas like coding theory and cryptography. It also explores recent advances in congruences and computational number theory, including primality testing and modular arithmetic. The author highlights previously scattered results, particularly those from Russian sources, making significant contributions to the field accessible to a broader audience.