Galois field
Galois field noun: a finite field; a field that contains a finite number of elements.
Noun
Galois field (plural Galois fields)
- A finite field; a field that contains a finite number of elements.
- The Galois field #92;mathrm#123;GF#125;(pⁿ) has order pⁿ and characteristic p.
- The Galois field #92;mathrm#123;GF#125;(pⁿ) is a finite extension of the Galois field #92;mathrm#123;GF#125;(p) and the degree of the extension is n.
Galois field meaning in Tamil
Galois field in Tamil
- கேல்வாயின் வெளி
Examples of Galois field in a sentence
- The multiplicative subgroup of a Galois field is cyclic.
- The case of most interest to us will be that in which F is a finite field, the Galois field GF(q) for some prime power q.2001, Joseph E. Bonin, A Brief Introduction To Matroid Theory, retrieved 05 May 2016:
Forms of Galois field
| plural | Galois fields |
|---|
Origin of Galois field
Named after French mathematician Évariste Galois (1811–1832).
Questions about Galois field
- What does Galois field mean?
- Galois field means a finite field; a field that contains a finite number of elements.
- What is Galois field in Tamil?
- Galois field in Tamil is கேல்வாயின் வெளி. See Galois field meaning in Tamil.
- How do you use Galois field in a sentence?
- The multiplicative subgroup of a Galois field is cyclic.
- What part of speech is Galois field?
- Galois field is a noun.
- What is the plural of Galois field?
- The plural of Galois field is Galois fields.
Words near Galois field in the dictionary
Source and license
Adapted from Wiktionary: Galois field (page history and authors); galois field (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “Galois field.” Word.ws, https://word.ws/galois_field. Based on Wiktionary, CC BY-SA 4.0.