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- W2039025980 abstract "We present counting methods for some special classes of multivariate polynomials over a finite field, namely, the reducible ones, the $s$-powerful ones (divisible by the $s$th power of a nonconstant polynomial), and the relatively irreducible ones (irreducible but reducible over an extension field). One approach employs generating functions, and another one uses a combinatorial method. They yield exact formulas and approximations with relative errors that essentially decrease exponentially in the input size." @default.
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- W2039025980 date "2013-01-01" @default.
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- W2039025980 title "Counting Reducible, Powerful, and Relatively Irreducible Multivariate Polynomials over Finite Fields" @default.
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- W2039025980 doi "https://doi.org/10.1137/110854680" @default.
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