Gauss periods: orders and cryptographical applications

نویسندگان

  • Shuhong Gao
  • Joachim von zur Gathen
  • Daniel Panario
چکیده

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.

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عنوان ژورنال:
  • Math. Comput.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 1998