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11 years 10 months ago
On the degree and half-degree principle for symmetric polynomials
In this note we aim to give a new, elementary proof of a statement that was first proved by Timofte (2003) [15]. It says that a symmetric real polynomial F of degree d in n variabl...
Cordian Riener
ECCC
2011
187views ECommerce» more  ECCC 2011»
12 years 8 months ago
In Brute-Force Search of Correlation Bounds for Polynomials
We report on some initial results of a brute-force search for determining the maximum correlation between degree-d polynomials modulo p and the n-bit mod q function. For various s...
Frederic Green, Daniel Kreymer, Emanuele Viola
IJAC
2006
87views more  IJAC 2006»
13 years 4 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...