We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
— Systematic Luby Transform (SLT) codes constitute rateless codes, which are capable of adaptively adjusting their code rate depending on the channel quality without any explicit...
Hoang Anh Ngo, Tim Stevens, Robert G. Maunder, Laj...
Multiple-antenna systems that operate at high rates require simple yet effective space-time transmission schemes to handle the large traffic volume in real time. At rates of tens ...
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Abstract--We investigate the structure of the polytope underlying the linear programming (LP) decoder introduced by Feldman, Karger, and Wainwright. We first show that for expander...