Finite Fields for Computer Scientists and Engineers (The Springer International Series in Engineerin 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Robert J. McEliece 作者

Springer

译者

1986-11-30 出版日期

220 页数

USD 179.00 价格

Hardcover

丛书系列

9780898381917 图书编码

Finite Fields for Computer Scientists and Engineers (The Springer International Series in Engineerin 在线电子书图书标签: 计算机科学经典教材数学 programming

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The theory of finite fields is of central importance in engineering and computer science, because of its applications to error-correcting codes, cryptography, spread-spectrum communications, and digital signal processing. Though not inherently difficult, this subject is almost never taught in depth in mathematics courses, (and even when it is the emphasis is rarely on the practical aspect). Indeed, most students get a brief and superficial survey which is crammed into a course on error-correcting codes. It is the object of this text to remedy this situation by presenting a thorough introduction to the subject which is completely sound mathematically, yet emphasizes those aspects of the subject which have proved to be the most important for applications. This book is unique in several respects. Throughout, the emphasis is on fields of characteristic 2, the fields on which almost all applications are based. The importance of Euclid's algorithm is stressed early and often. Berlekamp's polynomial factoring algorithm is given a complete explanation. The book contains the first treatment of Berlekamp's 1982 bit-serial multiplication circuits, and concludes with a thorough discussion of the theory of m-sequences, which are widely used in communications systems of many kinds.

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