Bonnemaisonia hamifera Hariot, 1891 The filamentous Trailliella phase
So probably NOT
Asparagopsis armata - Falkenbergia phase

This will not be an easy agree but the evidence is below - they are very similar.
http://www.algaebase.org/search/species/detail/?species_id=9
and
http://www.aphotomarine.com/red_seaweed_bonnemaisonia_hamifera_trailliella_phase.html
and
http://www.algaebase.org/search/species/detail/?species_id=9&sk=20
...
Similar to
http://www.aphotomarine.com/red_seaweed_asparagopsis_armata_falkenbergia.html