NettetThe basic Boneh-Zhandry construction uses a trusted setup to generate an obfuscated program with a secret PRF key. Parties pick a secret value uniformly at random, and publish the output of a length-doubling PRG applied to this value, as their public value. NettetWe show a hardness-preserving construction of a PRF from any length doubling PRG which improves upon known constructions whenever we can put a non-trivial upper …

Diagonal of Parallelogram - Formula, Properties, Examples

NettetThe simple formula for finding the length of the diagonals of a parallelogram is given below. For this formula, we need the length of the sides and any of the known angles. … Nettetoutput length m = m(k) and l = l(k) are polynomial in k. Show that now, for any polynomial l0(k), we can construct a PRF F0 with the same key and input lengths m = m(k) l = l(k), … elevated thiamine symptoms

6.7: Exercises - Engineering LibreTexts

NettetPr[A random string of 2n-length 2the range of G] 2n=22n= 2 n Thus, the vast majority of 2n-bits long strings do not belong to the range of G. Hence, in particular it is trivial to … NettetConsider the case of a length-doubling PRG (so ℓ = λ; the PRG has input length λ and output length 2λ). The PRG only has 2 λ possible inputs, and so there are at most only 2 λ possible outputs. Among all of {0,1} 2λ, this is a miniscule fraction indeed. Almost all … Nettettion (PRF) F:{0,1}κ×{0,1}κ →{0,1}κ instead of a length doubling PRG G.Since G can be implemented via two calls to F but the converse direction is not known, formulating positive (asymptotic) results in terms of the number of PRG calls makes them stronger. 2 The number of OTs used by such protocols is typically smaller than the circuit size. elevated thyroglobulin after thyroidectomy