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Issue No.05 - May (2000 vol.49)
pp: 519-524
ABSTRACT
<p><b>Abstract</b>—In this paper, a new method for calculation of Zech's logarithm in <tmath>$GF(2^m)$</tmath> is presented. For a given element, the logarithm is calculated by bit operations performed on its binary representation. No look-up tables are used. The proposed method makes feasible the implementation of an universal-type device for finite field arithmetic.</p>
INDEX TERMS
Zech logarithms, finite fields, discrete neural networks.
CITATION
Francisco M. Assis, C.e. Pedreira, "An Architecture for Computing Zech's Logarithms in GF(2m)", IEEE Transactions on Computers, vol.49, no. 5, pp. 519-524, May 2000, doi:10.1109/12.859543