There doesn't seem to be a clear uniform definition for these sails. In this thread we call them code-0's because that is how the monohull oriented sailing press call them. However according to Andrew Scott definitions (Doyle) we cat sailors actually call Code-0's assymmetric spinnakers or just plain spinnakers (75%-95% mid girth measurement) and the Booth sail is actually a Genoa.
Other names fro these sails are : reachers, hooters, screachers, furling spis and some others I have forgotten.
Wouter