On the construction of irreducible polynomials over finite fields via odd prime degree endomorphisms of elliptic curves
Sign Up to like & getrecommendations! Published in 2018 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-017-0216-x
Abstract: In this paper we present an iterative construction of irreducible polynomials over finite fields based on repeated applications of transforms induced by endomorphisms of odd prime degree of ordinary elliptic curves. read more here.
Keywords: irreducible polynomials; polynomials finite; finite fields; odd prime ... See more keywords
Factoring polynomials over finite fields
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DOI: 10.1142/s1793042121500469
Abstract: In this paper, we describe a new polynomial factorization algorithm over finite fields with odd characteristics. The main ingredient of the algorithm is special singular curves. The algorithm relie... read more here.
Keywords: polynomials finite; factoring polynomials; finite fields;