# Do uniformity lower than DLOGTIME rlead to same result?

Here input of length and position is binary rather than unary, so traditional "DLOGTIME-uniform" is now "O(n)-uniform". (If traditional "DLOGTIME-uniform" already take binary input then this question has false assumption)

Surely O(n) isn't that low, so will a lower model lead to weaker result? E.g. is uniformNC∩O(n)-uniform AC0 weaker than uniform AC0?

• What exactly is your question? Dec 29, 2022 at 18:46
• @EmilJeřábek will a lower model(e.g. uniformNC-uniform) lead to weaker result?
– l4m2
Dec 30, 2022 at 1:58
• What "result"?? Dec 30, 2022 at 8:28
• Also, if you consider the input as indices written in binary, then DLOGTIME-uniformity becomes linear-time uniformity rather than polynomial-time uniformity. It is actually already defined that way; it is only called DLOGTIME-uniform in reference to the input size of the circuit being uniformized. Dec 30, 2022 at 8:33
• @EmilJeřábek The ability it constructs circuit
– l4m2
Dec 30, 2022 at 9:33