On an architecture for a parallel finite field multiplier with low complexity based on composite fields

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2004

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Kındap, Nihal

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In this thesis, a bit parallel architecture for a parallel finite field multiplier with low complexity in composite fields GF((2n)m) with k = n · m (k 32) is investigated. The architecture has lower complexity when the Karatsuba-Ofman algorithm is applied for certain k. Using particular primitive polynomials for composite fields improves the complexities. We demonstrated for the values m = 2, 4, 8 in details. This thesis is based on the paper أA New Architecture for a Parallel Finite Field Multiplier with Low Complexity Based on Composite Fields ؤ by Christof Paar. The whole purpose of this thesis is to understand and present a detailed description of the results of the paper of Paar.

Subject Keywords

Electronic computers.

URI

http://etd.lib.metu.edu.tr/upload/12605347/index.pdf
https://hdl.handle.net/11511/14582

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

N. Kındap, “On an architecture for a parallel finite field multiplier with low complexity based on composite fields,” M.S. - Master of Science, Middle East Technical University, 2004.