Design and Implementation of Arithmetic Unit for GF(2m )
Journal Title: International Journal of Advanced Research in Computer Engineering & Technology(IJARCET) - Year 2012, Vol 1, Issue 9
Abstract
In Abstract algebra, a Finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, Algebraic geometry, Galois Theory, Cryptography, and Coding theory.Arithmetic in a finite field is different from standard integer arithmetic. There are a limited number of elements in the finite field; all operations performed in the finite field result in an element within that field.An arithmetic unit (AU) that performs all basic arithmetic operations in the finite field GF(2^m) will be implemented, where m is an arbitrary integer. The 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.
Authors and Affiliations
O. B. B. Madhuri , , E. Rambabu , Malijeddi Murali
Keywords
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