[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.1.209

POLYNOMIAL REPRESENTATIONS FOR n-TH ROOTS IN FINITE FIELDS

Chang, Seunghwan (Institute of Mathematical Sciences Ewha Womans University)
Kim, Bihtnara (Department of Mathematics Ewha Womans University)
Lee, Hyang-Sook (Department of Mathematics Ewha Womans University)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 209-224 More about this Journal

Abstract

Computing square, cube and n-th roots in general, in finite fields, are important computational problems with significant applications to cryptography. One interesting approach to computational problems is by using polynomial representations. Agou, Del $\acute{e}$ eglise and Nicolas proved results concerning the lower bounds for the length of polynomials representing square roots modulo a prime p. We generalize the results by considering n-th roots over finite fields for arbitrary n > 2.

Keywords

cube roots; n-th roots; finite fields;

Citations & Related Records

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