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<p><b>Abstract</b>—We characterize the smallest <it>n</it> with GF (2) [X] /(X^n+1) containing an isomorphic copy of GF(2^m). This characterization shows that the representation of finite fields described in a previous issue of the <it>IEEE Transactions on Computers</it> is not "optimal" as claimed. The representation considered there can often be improved significantly.</p>
Galois field arithmetic, VLSI implementation.
Willi Geiselmann, Rainer Steinwandt, Jörn Müller-Quade, "On "A New Representation of Elements of Finite Fields GF (2^m) Yielding Small Complexity Arithmetic Circuits"", IEEE Transactions on Computers, vol. 51, no. , pp. 1460-1461, December 2002, doi:10.1109/TC.2002.1146713
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