normal basis
normal basis · normal bases
For a given Galois field 𝔽_ and a suitable element β, a basis that has the form {β,…For a given Galois field 𝔽_(qᵐ) and a suitable element β, a basis that has the form {β, β^q, β^(q2), ... , β^(qm-1)}.
Значення
значень: 1For a given Galois field 𝔽_(qᵐ) and a suitable element β, a basis that has the form {β, β^q, β^(q2), ... , β^(qm-1)}.
A normal basis is generated by the repeated action of the Frobenius endomorphism on a suitable element β; it is the orbit of β for that endomorphism.
It is a characterising property of normal bases that #92;beta#123;qᵐ#125;#61;#92;beta.
Переклади
мов: 1Форми
множина: normal bases| Однина | normal basis |
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| Множина | normal bases |
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