We introduce a simple erasure recovery algorithm for codes derived from cascades of
sparse bipartite graphs and analyze the algorithm by analyzing a corresponding discrete-time …

We present randomized constntctions of linear-time encodable and decodable codes that
can transmit over 10SSY channels at rates extremely close to capacity. The encoding and …

… If we set m = n, then the probability that we don't find a witness is exponentially small in n.
On input E {0, 1}", the randomized P-time function ensemble randomly chooses y1,..., Ym at …

… The work of MG Luby was supported in part by the National Science Foundation under
Operating Grant NCR-9416101. The work of M. Mitzenmacher was supported in part by the Alfred …

Society of Neuroradiology, and the Foundation of the American Society of Neuroradiology
sponsored a series of working group meetings> 12 months, with the final meeting occurring …

… [Blum Luby Rubinfeld] considers the case when the program adaptively … M is an oracle
program if it makes calls to another program that is specified at run time. We let MA denote M …

… Moreover, (3) also holds for t = m provided we interpret 0 X w as 0. … Suppose on the other
hand that {m,, ti) is the first stage of run m,. Then the contribution is exactly as in the proof of …

… from the attack and given the encryption fT,(M) of M (but not M), L cannot predict the value
of M any better than if L hadno information about M. Symmetrically, let E be the encryption of a …

… cess, consider an individual edge (m, c) between a message node m and a check node c, …
of m. This tree is rooted at m, and the tree branches out from the check nodes of m excluding c, …

… h = (Af, b), where M is an m by n bit matrix and b is a bit vec- … [Impagliazzo, Luby 891 shows
that most cryptographic … combined with [Impa.gliazzo, Luby 891, many others remain open. […