On Generating Coset Representatives of PGL2(Fq) in PGL2(Fq2)
نویسندگان
چکیده
There are q+q right PGL2(Fq)−cosets in the group PGL2(Fq2). In this paper, we present a method of generating all the coset representatives, which runs in time Õ(q), thus achieves the optimal time complexity up to a constant factor. Our algorithm has applications in solving discrete logarithms and finding primitive elements in finite fields of small characteristic.
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ورودعنوان ژورنال:
- IACR Cryptology ePrint Archive
دوره 2015 شماره
صفحات -
تاریخ انتشار 2015