In this paper we present some new results on the approximate parallel
construction of Huffman codes. Our algorithm achieves linear work
and logarithmic time, provided that the initial set of elements
is sorted. This is the first parallel algorithm for that problem
with the optimal time and ... more >>>

We investigate the decoding problem of Reed-Solomon Codes (aka: the Polynomial Reconstruction Problem -- PR) from a cryptographic hardness perspective. First, following the standard methodology for constructing cryptographically strong primitives, we formulate a decisional intractability assumption related to the PR problem. Then, based on this assumption we show: (i) hardness ... more >>>

We investigate the complexity of enumerative approximation of
two elementary problems in linear algebra, computing the rank
and the determinant of a matrix. In particular, we show that
if there exists an enumerator that, given a matrix, outputs a
list of constantly many numbers, one of which is guaranteed to
more >>>