ENGLISH

Algebraic Circuits

By Antonio Lloris Ruiz , Encarnación Castillo Morales , Luis Parrilla Roure , Antonio García Ríos (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2014
ISBN
978-3-642-54648-8, 978-3-642-54649-5
DOI
10.1007/978-3-642-54649-5
Language
english
Format
PDF
Filesize
11 MB (11605340 bytes)
Series
Intelligent Systems Reference Library 66
Edition
1
Pages
394\413
Topic
Mathematics Algebra
Time added
2014-04-13 05:00:00
Circuits and Systems; General Algebraic Systems; DCryptology and Information Theory; SignalImage and Speech Processing

Description

This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure. The authors distinguish between basic algebraic circuits, such as Linear Feedback Shift Registers (LFSRs) and cellular automata and algebraic circuits, such as finite fields or Galois fields. The book includes a comprehensive review of representation systems, of arithmetic circuits implementing basic and more complex operations and of the residue number systems (RNS). It presents a study of basic algebraic circuits such as LFSRs and cellular automata as well as a study of circuits related to Galois fields, including two real cryptographic applications of Galois fields.

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