We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Displaying and navigating complex information on wearable computers is very different from accessing the same information while sitting at your desk. Limitations in hardware, scre...
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...