polynomial basis (English, noun)
expansion: polynomial basis (plural polynomial bases)
Senses:
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: 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).
topics: algebra
computing
cryptography
engineering
mathematics
natural-sciences
physical-sciences
sciences
qualifier: field theory
glosses: 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).
raw_tags: of a finite field
Forms:
form: polynomial bases
tags: plural