| Tartalom: |
http://real.mtak.hu/100771/ |
| Archívum: |
REAL |
| Gyűjtemény: |
Status = In Press
Subject = Q Science / természettudomány: QA Mathematics / matematika: QA72 Algebra / algebra
Subject = Q Science / természettudomány: QA Mathematics / matematika: QA73 Geometry / geometria
Type = Article
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| Cím: |
A characterization of linearized polynomials
with maximum kernel
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| Létrehozó: |
Csajbók, Bence
Marino, Giuseppe
Polverino, Olga
Zullo, Ferdinando
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| Kiadó: |
Elsevier
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| Dátum: |
2018-12-06
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| Téma: |
QA72 Algebra / algebra
QA73 Geometry / geometria
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| Tartalmi leírás: |
We provide sufficient and necessary conditions for the coefficients of a q-polynomial f over GF(q^n) which ensure that the number of distinct roots of f in GF(q^n) equals the degree of f. We say that these polynomials have maximum kernel. As an application we study in
detail q-polynomials of degree q^(n-2) over GF(q^n) which have maximum kernel and for n<7 we list all q-polynomials with maximum kernel. We also obtain information on the splitting field of an arbitrary q-polynomial. Analogous results are proved for q^s-polynomials as well, where gcd(s,n) = 1.
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Csajbók, Bence and Marino, Giuseppe and Polverino, Olga and Zullo, Ferdinando (2018) A characterization of linearized polynomials with maximum kernel. Finite Fields and their Applications. ISSN 1071-5797 (In Press)
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| Kapcsolat: |
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