I'm currently studying the different adversarial settings for digital signatures.
In Goldwasser, Micali and Rivests paper they propose three different chosen message attack settings, which are vastly different. More specifically they specify:
- Generic chosen message attacks
- Directed chosen message attacks
- Adaptive chosen message attacks
Why is it that all of these are just categorized as chosen message attacks in most literature?
For example EUF-CMA; it is just implicitly understood that this refers existential unforgeability under adaptively chosen message attacks?
Furthermore, does there exists a commonly known abbreviation which specify which chosen message attack I'm talking about? Something like gCMA, dCMA and aCMA?