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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010201123 | QA247.3 M85 2007 | Open Access Book | Book | Searching... |
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Summary
Summary
This book provides a brief and accessible introduction to the theory of finite fields and to some of their many fascinating and practical applications.
Reviews 1
Choice Review
This book gives a quick, clear introduction to finite fields and discusses applications in combinatorics, algebraic coding theory, and cryptography. Mullen (Pennsylvania State Univ.) and Mummert (Univ. of Michigan) begin chapter 1 by covering finite fields, extensions, trace, norm, extension field bases, and finite field properties of polynomials. Combinatorial applications in the next chapter include orthogonal Latin squares and their application to affine and projective planes, block designs, and Hadamard matrices. Chapter 3 illustrates applications to algebraic coding theory including encoding, decoding, some constructions, and a link to Latin squares. The last chapter gives a brief introduction to cryptography and includes a description of both symmetric key and public key cryptography and threshold schemes. The work contains more than 100 exercises, appendixes on number theoretic and algebraic background, exercise hints, and a list of 65 references. Summing Up: Recommended. Upper-division undergraduates. D. P. Turner Faulkner University
