NDLI: On Polynomial Factorization Over Finite Fields

Content Provider	Scilit
Author	Gunji, Hiroshi Arnon, Dennis
Copyright Year	1981
Description	Let be a polynomial over a finite field F. An algorithm for determining the degrees of the factors of is presented. As in the Berlekamp algorithm (1968) for determining the factors of , the Frobenius endomorphism on plays a central role. Little-known theorems of Schwarz (1956) and Cesàro (1888) provide the basis for the algorithm we present. New and stream-lined proofs of both theorems are provided.
Related Links	https://www.ams.org/mcom/1981-36-153/S0025-5718-1981-0595063-3/S0025-5718-1981-0595063-3.pdf
Ending Page	287
Page Count	7
Starting Page	281
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2007747
Journal	Mathematics of Computation
Issue Number	153
Volume Number	36
Language	English
Publisher	Duke University Press
Publisher Date	1981-01-01
Access Restriction	Open
Subject Keyword	Logic Finite Fields Frobenius Cesàro Stream Endomorphism Berlekamp Schwarz Polynomial Factorization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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On Polynomial Factorization Over Finite Fields