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
Construction of highly nonlinear S-boxes for degree 8 primitive irreducible polynomials over ℤ2
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DOI: 10.1007/s11042-018-6250-8
Abstract: Over binary filed F2 there are 16 primitive irreducible polynomials of degree 8, and hence one can construct 16 Galois field extensions of order 256. In this paper, we provide a novel technique to design… read more here.
Keywords: irreducible polynomials; construction highly; galois fields; primitive irreducible ... See more keywords
Möbius-like maps on irreducible polynomials and rational transformations
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DOI: 10.1016/j.jpaa.2019.05.001
Abstract: Abstract In the past few years, an action of the group PGL 2 ( F q ) on the set of monic irreducible polynomials over F q has been introduced and questions on the characterization… read more here.
Keywords: bius like; polynomials rational; maps irreducible; like maps ... See more keywords