Arithmetic Unit for Finite Field (2^)

An arithmetic unit (AU) that performs all basic arithmetic operations in the finite field GF(2 m ) is presented, where m is an arbitrary integer. The presented finite field AU consists of an arithmetic processor, an arithmetic logic unit, and a control unit. The proposed AU has low circuit complexit...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2008-04, Vol.55 (3), p.828-837
Main Authors: Chen, Tung-Chou, Wei, Shyue-Win, Tsai, Hung-Jen
Format: Article
Language:English
Subjects:
Arithmetic
Arithmetic unit (AU)
Arithmetic units
Circuits
Complexity
Decoders
error-correcting codes
finite field
Galois fields
Gold
Integers
Logic circuits
Mathematical analysis
Microprocessors
Multiplexing
Polynomials
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Summary:An arithmetic unit (AU) that performs all basic arithmetic operations in the finite field GF(2 m ) is presented, where m is an arbitrary integer. The presented finite field AU consists of an arithmetic processor, an arithmetic logic unit, and a control unit. The proposed AU has low circuit complexity and is programmable, so that any error-correcting decoder that operates in GF(2 m ) can be easily implemented with this AU.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2008.919757