Last Updated
：2025/12/04
normal basis
Noun
Japanese Meaning
正規基底：有限体のガロア体拡大 F₍qᵐ₎ において、適切な元 β のガロア共役 {β, β^q, β^(q²), …, β^(q^(m-1))} により構成される基底。
（ plural ）
Quizzes for review
(algebra, field theory) For a given Galois field 𝔽_(qᵐ) and a suitable element β, a basis that has the form {β, βq, βq2, ... , βqm-1}.
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normal basis
In many coding theory applications, constructing a normal basis of F_{qm} simplifies computations involving Frobenius automorphisms.
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In many coding theory applications, constructing a normal basis of F_{qm} simplifies computations involving Frobenius automorphisms.
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