Glossary entry (derived from question below)
English term or phrase:
of characteristic 2
French translation:
corps fini de caractéristique 2
- The asker opted for community grading. The question was closed on 2016-10-07 14:54:07 based on peer agreement (or, if there were too few peer comments, asker preference.)
English term
of characteristic 2
Finite fields of characteristic two in F2m are of interest since they allow for the efficient implementation of elliptic curve arithmetic. The field F2m can be viewed as a vector space of dimension m over F2. Once a basis of F2m over F2 has been chosen the elements of F2m can be conveniently represented as vectors of elements zero or one and of length m. In hardware, a field element is stored in a shift register of length m. Addition of field elements is performed by bitwise XOR-ing (⊕) the vector representations and takes one clock cycle.
https://data.epo.org/publication-server/rest/v1.2/patents/EP...
| 4 +1 | corps fini de caractéristique 2 |
FX Fraipont (X)
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Non-PRO (1): GILLES MEUNIER
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Proposed translations
corps fini de caractéristique 2
https://en.wikipedia.org/wiki/Finite_field
"En mathématiques et plus précisément en algèbre, un corps fini est un corps commutatif qui est par ailleurs fini. À isomorphisme près, un corps fini est entièrement déterminé par son cardinal, qui est toujours une puissance d'un nombre premier, ce nombre premier étant sa caractéristique. Pour tout nombre premier p et tout entier non nul n, il existe un corps de cardinal pn, qui se présente comme l'unique extension de degré n du corps premier Z/pZ."
https://fr.wikipedia.org/wiki/Corps_fini
"112: Corps finis. Applications. - Ceremade
https://www.ceremade.dauphine.fr/~lissy/Agreg/algebre/112.pd...
Dans un corps fini de caractéristique 2, tout nombre est un carré. Sinon, l'application x ↦→ x2 est un morphisme de groupe surjectif de K∗ ..."
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