Last Updated:2025/12/04
Sentence

多くの符号理論の応用では、F_{q^m} の形が {β, β^q, β^{q^2}, …, β^{q^{m-1}}} となる基底(正規基底)を構成することで、フロベニウス自己同型に関する計算が簡単になる。

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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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In many coding theory applications, constructing a normal basis of F_{qm} simplifies computations involving Frobenius automorphisms.

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Related words

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。
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多くの符号理論の応用では、F_{q^m} の形が {β, β^q, β^{q^2}, …, β^{q^{m-1}}} となる基底(正規基底)を構成することで、フロベニウス自己同型に関する計算が簡単になる。

Related Words

plural

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