Abstract
Let P be an irreducible polynomial of degree n over Fq. For AFq[X] with gcd(A,P)=1 the polynomial Fermat quotient qP(A) is defined byqP(A)≡Aqn-1-1P(modP)anddegqP(A)<n. We study several properties of polynomial Fermat quotients including the number of fixed points, the image size, and multiplicity of values in the image.
Original language | English |
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Pages (from-to) | 93-104 |
Number of pages | 12 |
Journal | Finite Fields and their Applications |
Volume | 19 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2013 |