What is the maximum possible number, f3(n), of vectors of length n over {0, 1, 2} such that the Hamming distance between every two is even? What is the maximum possible number, g3...
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...
It is known that the expansion property of a graph influences the performance of the corresponding code when decoded using iterative algorithms. Certain graph products may be used ...
Christine A. Kelley, Deepak Sridhara, Joachim Rose...
A total perfect code in a graph is a subset of the graph's vertices with the property that each vertex in the graph is adjacent to exactly one vertex in the subset. We prove t...
Ghidewon Abay-Asmerom, Richard Hammack, Dewey T. T...
Software product lines are families of products defined by feature commonality and variability, with a well-managed asset base. Recent work in testing of software product lines ha...