[Resource Topic] 2008/124: A Simple Derivation for the Frobenius Pseudoprime Test

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Title:
A Simple Derivation for the Frobenius Pseudoprime Test

Authors: Daniel Loebenberger

Abstract:

Probabilistic compositeness tests are of great practical importance in cryptography. Besides prominent tests (like the well-known Miller-Rabin test) there are tests that use Lucas-sequences for testing compositeness. One example is the so-called Frobenius test that has a very low error probability. Using a slight modification of the above mentioned Lucas sequences we present a simple derivation for the Frobenius pseudoprime test in the version proposed by Crandall and Pommerance.

ePrint: https://eprint.iacr.org/2008/124

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