What are some absolute truths that exist independently?
Are there some facts, if any, that are true regardless of whether matter, consciousness or living organisms exist?
What sorts of facts might you mean? "2 + 2 = 4"? "This universe is all that physically exists"? Conservation of energy? Moral or theological assertions?
To the best of my ability to reason about this, logic does. Whether it's dependent on my ability to reason about it, is beyond my ability to reason about.
It's impossible for things to exist in the manner in which your question implies that they might.
If no consciousness existed, who or what would judge whether a statement was a fact?
To encode NOT something takes one more bit than encoding something.