polynomial basis
The English word “polynomial basis” has 2 meanings listed here.
noun
- A basis of a polynomial ring (said ring being viewed either as a vector space over the field of coefficients or as a free module over the ring of coefficients).
- Specifically, a basis, of the form 1, α, ..., αⁿ⁻¹, of a finite extension F_(qⁿ) of a Galois field F_q, where α is a primitive element of F_(qⁿ) (i.e., a root of a degree-n primitive polynomial over F_q).
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More English words
- polynoid
- polynome
- polynomial
- polynomial algebra
- polynomial equation
- polynomial form
- polynomial function
- polynomial reduction
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