Functional decomposition of polynomials: the wild case

DOI10.1016/S0747-7171(08)80054-5zbMath0722.12003MaRDI QIDQ755793

Joachim von zur Gathen

Publication date: 1990

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

polynomial-time algorithmcomplete decompositionfunctional decompositionexponential-timetame casewild case

Mathematics Subject Classification ID

Related Items (19)

An application of algebraic geometry to encryption: tame transformation method ⋮ On decomposition of sub-linearised-polynomials ⋮ A family of weak keys in HFE and the corresponding practical key-recovery ⋮ Decomposing tropical rational functions ⋮ Counting decomposable polynomials with integer coefficients ⋮ Counting Decomposable Univariate Polynomials ⋮ Compositions and collisions at degree \(p^2\) ⋮ Computational problems in the theory of finite fields ⋮ Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure ⋮ On functional decomposition of multivariate polynomials with differentiation and homogenization ⋮ Decomposition of ordinary differential polynomials ⋮ The inverse of an automorphism in polynomial time ⋮ Counting invariant subspaces and decompositions of additive polynomials ⋮ Normal form for Ritt's second theorem ⋮ Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth theorem ⋮ An efficient algorithm for decomposing multivariate polynomials and its applications to cryptography ⋮ Functional decomposition of polynomials: the tame case ⋮ Tame decompositions and collisions ⋮ A recombination algorithm for the decomposition of multivariate rational functions

Cites Work

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• Functional decomposition of polynomials: the tame case
• Fast multiplication of polynomials over fields of characteristic 2
• Prime and composite polynomials
• On curves with separated variables
• Fast multiplication of large numbers
• Parallel Algorithms for Algebraic Problems
• Effective procedures in field theory
• Hensel and Newton Methods in Valuation Rings
• Polynomial decomposition algorithms
• Polynomial decomposition algorithms

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