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Topics in Galois Fields: 29 (Algorithms and Computation in Mathematics)

This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.
We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm.

Product details
Publisher : Springer Nature Switzerland AG; 1st ed. 2020 edition (30 September 2020)
Language : English
Hardcover : 785 pages
ISBN-10 : 3030608042
ISBN-13 : 978-3030608040
Item Weight : 1 kg 360 g
Dimensions : 15.6 x 4.29 x 23.39 cm
Country of Origin : USA
Best Sellers Rank: #830,184 in Books (See Top 100 in Books)
#1,442 in Algebra & Trigonometry
#8,222 in Computer Science Books
#11,612 in Computer Science Textbooks

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