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On "A new representation of elements of finite fields GF(2m) yielding small complexity arithmetic circuits"

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3 Author(s)
Geiselmann, Willi ; Inst. fur Algorithmen und Kognitive Syst., Karlsruhe Univ., Germany ; Muller-Quade, J. ; Steinwandt, Rainer

For original article see G. Drolet, ibid., vol. 47, no. 9, p. 938-946, (Sept 1998). We characterize the smallest n with GF(2)[X]/(Xn + 1) containing an isomorphic copy of GF(2m). This characterization shows that the representation of finite fields described in a previous issue of the IEEE Transactions on Computers is not "optimal" as claimed. The representation considered there can often be improved significantly.

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Computers, IEEE Transactions on  (Volume:51 ,  Issue: 12 )