Topics in Galois Fields

Viac o knihe

The book offers a comprehensive exploration of finite fields, emphasizing their foundational aspects and algebraic closures. It introduces advanced topics rarely covered in textbooks, such as the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for polynomial factorization over finite fields. This self-contained monograph is designed for readers seeking a deeper understanding of these complex mathematical concepts.