— We consider the problem of broadcasting a live stream of data in an unstructured network. Broadcasting has been studied extensively for networks with capacity constraints at th...
Abstract. In property testing, the goal is to distinguish between objects that satisfy some desirable property and objects that are far from satisfying it, after examining only a s...
Ensembles of regular low-density parity-check codes over any finite Abelian group G are studied. The nonzero entries of the parity matrix are randomly chosen, independently and uni...
The classical and well-studied group testing problem is to find d defectives in a set of n elements by group tests, which tell us for any chosen subset whether it contains defectiv...
We propose the idea of building a secure hash using quadratic or higher degree multivariate polynomials over a finite field as the compression function. We analyze some security ...