Supremacy is a unique mode - it's all about short range kills. If you're too far away (sniping or using a scout/pulse) then by the time you get to where the crest dropped from the kill, most likely someone else has picked it up or it has disappeared. Stay in a pack young wolf! Your weapons kill faster if all of you are shooting at the same target, plus if one of your mates gets taken out you can recover his/her crest rather than let it fall into enemy hands. Think Clash, but at close range all the time. So what does this mean? You have to use weapons that are fast kills at short range (or your abilities). This pretty much eliminates most primaries other than hand cannons and top tier auto rifles....but again, you can't beat a 1 shot kill from a shotgun or fusion rifle. I was even no-scoped by a sniper rifle close range. For me, I'm running Invective due to ammo regen and good close range kill power and Soul Stealer's Claw. I'm keeping a good HMG as my heavy to maximize the number of kills from heavy ammo. Supers, grenades, and melee attacks are also very helpful in Supremacy, so make sure to adjust your loadout and perks accordingly to maximize those (multi-grenades, multi-melee attacks, super regen quicker, etc). Finally, consider maxing out your agility. When you make a kill you have to run for the crest - so faster running means you can pick them up quicker and move on to the next target. Equip armor that can give you an armor boost for the sub-class you're running (arc, void, solar, etc). Follow these easy tips and you'll be rocking and rolling through Supremacy mode!