POLYNOMIAL REPRESENTATIONS FOR n-TH ROOTS IN FINITE FIELDS

Title & Authors
POLYNOMIAL REPRESENTATIONS FOR n-TH ROOTS IN FINITE FIELDS
Chang, Seunghwan; Kim, Bihtnara; Lee, Hyang-Sook;

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$\small{\acute{e}}$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;
Language
English
Cited by
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