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)
![]() |
Non-PRO (1): GILLES MEUNIER
When entering new questions, KudoZ askers are given an opportunity* to classify the difficulty of their questions as 'easy' or 'pro'. If you feel a question marked 'easy' should actually be marked 'pro', and if you have earned more than 20 KudoZ points, you can click the "Vote PRO" button to recommend that change.
How to tell the difference between "easy" and "pro" questions:
An easy question is one that any bilingual person would be able to answer correctly. (Or in the case of monolingual questions, an easy question is one that any native speaker of the language would be able to answer correctly.)
A pro question is anything else... in other words, any question that requires knowledge or skills that are specialized (even slightly).
Another way to think of the difficulty levels is this: an easy question is one that deals with everyday conversation. A pro question is anything else.
When deciding between easy and pro, err on the side of pro. Most questions will be pro.
* Note: non-member askers are not given the option of entering 'pro' questions; the only way for their questions to be classified as 'pro' is for a ProZ.com member or members to re-classify it.
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∗ ..."
Something went wrong...