Abstract. Multi-signatures allow multiple signers to jointly authenticate a message using a single compact signature. Many applications however require the public keys of the signe...
Levin and Schnorr (independently) introduced the monotone complexity, Km(), of a binary string . We use monotone complexity to define the relative complexity (or relative randomnes...
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
In earlier work, we described a “pathological” example of a signature scheme that is secure in the Random Oracle Model, but for which no secure implementation exists. For that...
Let I be a random 3CNF formula generated by choosing a truth assignment for variables x1, . . . , xn uniformly at random and including every clause with i literals set true by w...