Cognomen Kõiva (Фокс 
, Kõiva 
) , around the world, is a rare last name. The surname Kõiva is habitual in Estonia, where it is a rare surname, Kazakhstan, where it is a very rare surname, and Russia. In absolute terms, the name is most common in Russia, Kazakhstan, and Ukraine. Very seldom, Kõiva is the forename as well as the last name.
| VARIANT | COUNTRY |
|---|---|
| Фокс | Kazakhstan, Russia, Ukraine, Kyrgyzstan |
| Kõiva | Estonia |
|
mare kõiva EE (b. 1954) |
|
| ottilie-olga kõiva Estonian folklorist (*1932), EE (b. 1932) |
|
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| harri kõiva EE (b. 1932) |
|
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| katre kõiva EE (b. 1964) |
|
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| risto kõiva researcher |
|