We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
Powerful SIMD instructions in modern processors offer an opportunity for greater search performance. In this paper, we apply these instructions to decoding search engine posting ...
Alexander A. Stepanov, Anil R. Gangolli, Daniel E....
Different variants of the code-based McEliece cryptosystem were proposed to reduce the size of the public key. All these variants use very structured codes, which open the door t...
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...
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...