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» On the span of polynomials with integer coefficients
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MOC
2010
12 years 11 months ago
On the span of polynomials with integer coefficients
Following a paper of R. Robinson, we classify all hyperbolic polynomials in one variable with integer coefficients and span less than 4 up to degree 13, and with some additional h...
Stefano Capparelli, Alberto Del Fra, Carlo Sci&ogr...
DM
2008
97views more  DM 2008»
13 years 4 months ago
On the integral ring spanned by genus two weight enumerators
Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials ...
Manabu Oura
CORR
2006
Springer
69views Education» more  CORR 2006»
13 years 4 months ago
Bounds on the coefficients of the characteristic and minimal polynomials
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associat...
Jean-Guillaume Dumas
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 4 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy