# New algorithms for finding irreducible polynomials over finite fields

@article{Shoup1988NewAF, title={New algorithms for finding irreducible polynomials over finite fields}, author={Victor Shoup}, journal={[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science}, year={1988}, pages={283-290} }

An algorithm is presented for finding an irreducible polynomial of specified degree over a finite field. It is deterministic and runs in polynomial time for fields of small characteristics. A proof is given of the stronger result, that the problem of finding irreducible polynomials of specified degree over a finite field K is deterministic-polynomial-time reducible to the problem of factoring polynomials over the prime field of K.<<ETX>>

## 228 Citations

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