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Gauss periods: orders and cryptographical applications


Author(s) : Zur Gathen Joachim Von Shuhong Gao Daniel Panario, 
Publisher : N/A
Publication Date : 1998
ISSN : N/A
Abstract : Abstract. Experimental results on the multiplicative orders of Gauss periods in finite fields are presented. These results indicate that Gauss periods have high order and are often primitive (self-dual) normal elements in finite fields. It is shown that Gauss periods can be exponentiated in quadratic time. An application is an efficient pseudorandom bit generator. 1.,