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{{MSC|12E10}}

A [[polynomial]] over a [[field]] of [[Characteristic of a field|characteristic]] $p \ne 0$ in which all monomials have exponents which are powers of $p$:
$$
L(x) = \sum_{i=0}^d a_i X^{p^i} \ .
$$
Such polynomials are additive: $L(x+y) = L(x) + L(y)$.

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Linearised polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Linearised_polynomial&oldid=30278

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