Ruiz A.L. Algebraic Circuits

Springer Heidelberg New York Dordrecht London, 2014, XXIV, 394 p. 110 illus. — ISBN: 978-3-642-54648-8, ISBN: 978-3-642-54649-5 (eBook), DOI 10.1007/978-3-642-54649-5 — (Intelligent Systems Reference Library, Vol. 66).First self-contained reference guide to algebraic circuits
Provides the readers with the necessary theoretical background for an easy understanding of algebraic circuits and for their use in practice
Written by leading experts in the fieldThis 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.Content Level » Research
Keywords » Basic algebraic circuits - Digital circuits - Discrete logarithm - Elliptic curve cryptosystems - Finite fields - Galois Fields (GF) - Linear feedback shift register - Multi-dimensional cellular automata - One-dimensional cellular automata - Residue number systems
Related subjects » Algebra - Circuits & Systems - Security and Cryptology - Signals & Communication