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On the Degree of Multivariate Polynomials over Fields of Characteristic 2
IEICE TRANSACTIONS on Information and Systems
Publication Date: 2005/01/01
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Computation and Computational Models
degree of multivariate polynomials, finite field of characteristic 2, parity P-complete, Hamilton path,
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We show that a problem of deciding whether a formula for a multivariate polynomial of n variables over a finite field of characteristic 2 has degree n when reduced modulo a certain Boolean ideal belongs to P. When the formula is allowed to have succinct representations as sums of monomials, the problem becomes P-complete.