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Fast irreducibility and subgroup membership testing


Author(s) : Eric R. Verheul Arjen K. Lenstra, 
Publisher : N/A
Publication Date : 1992
ISSN : N/A
Abstract : Abstract. We describe a new general method to perform part of the setup stage of the XTR system introduced at Crypto 2000, namely finding the trace of a generator of the XTR group. Our method is substantially faster than the general method presented at Asiacrypt 2000. As a side result, we obtain an efficient method to test subgroup membership when using XTR. 1,