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Computationally hard algebraic problems

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1 Author(s)
Rabin, M.O. ; Hebrew Univ., Jerusalem, Israel

In this paper we present a simple geometric-like series of elements in a finite field Fq, and show that computing its sum is NP-hard. This problem is then reduced to the problem of counting mod p the number of zeroes in a linear recurrence sequence with elements in a finite Fp, where p is a small prime. Hence the latter problem is also NP-hard. In the lecture we shall also survey other computationally hard algebraic problems

Published in:

Foundations of Computer Science, 1996. Proceedings., 37th Annual Symposium on

Date of Conference:

14-16 Oct 1996