Article ID Journal Published Year Pages File Type
420261 Discrete Applied Mathematics 2011 4 Pages PDF
Abstract

Consider the set of vectors over a field having non-zero coefficients only in a fixed sparse set and multiplication defined by convolution, or the set of integers having non-zero digits (in some base bb) in a fixed sparse set. We show the existence of an optimal (or almost-optimal, in the latter case) ‘magic’ multiplier constant that provides a perfect hash function which transfers the information from the given sparse coefficients into consecutive digits. Studying the convolution case we also obtain a result of non-degeneracy for Schur functions as polynomials in the elementary symmetric functions in positive characteristic.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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