Naming RMAN backup is vital.
Proper backup name gives you better idea of which backup may be used during recovery.
My ideal RMAN backup format is : backup_%d_set%s_piece%p_%T_%U for backupsets when duplexing is not used. For duplexing backup it would be backup_%d_set%s_piece%p_copy%c_%T_%U
The following is brief description of these tags :
%d : name of database
%s :backup set number. (Unique for controlfile lifetime)
%p :piece number in backup set.
%T : Specified date in format YYYYMMDD
%U : Unique number consist of %u_%p_%c
%c : copy number of backup piece.when duplexing of backup piece is in use
Please pay attention that these tags are case sensitive.
If no format is specified, Oracle by default uses %U.For controlfile autobackup, I prefer to use default config which is %F.This tag has DBID in the filename which would be necessary in the case of recovery when RMAN catalog is not accessible.This tag can not be used for backup sets.