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This paper presents a new lower bound for the discrete strategy improvement algorithm for solving parity games due to Voege and Jurdzinski. First, we informally show which structures are difficult to solve for the algorithm. Second, we outline a family of games on which the algorithm requires exponentially many strategy iterations, answering in the negative the long-standing question whether this...
We construct binary linear codes that are efficiently list- decodable up to a fraction (1/2 - epsiv) of errors. The codes encode k bits into n = poly(k/epsiv) bits and are constructible and list-decodable in time polynomial in k and 1/epsiv (in particular, in our results epsiv need not be constant and can even be polynomially small in n). Our results give the best known polynomial dependence of n...
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