Galois field

Japanese: ガロア体 - がろあたい
Galois field


[Finite Field]
A field with a finite number of elements is called a finite field. It is also called a Galois field because Galois was the first to consider it. If the degree of a finite field F with characteristic p in a prime field Z / p Z is n , then the number of elements of F is p n . …

*Some of the terminology explanations that mention "Galois fields" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:


[有限体]
 元の数が有限である体を有限体という。ガロアが最初に考えたとの理由で,ガロア体とも呼ばれる。標数pの有限体Fの,素体Z/pZ上の次数がnであれば,Fの元数はpnである。…

※「ガロア体」について言及している用語解説の一部を掲載しています。

出典|株式会社平凡社世界大百科事典 第2版について | 情報

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