Communication Complexity of Computing the Hamming Distance
نویسندگان
چکیده
منابع مشابه
The Communication Complexity of Gap Hamming Distance
In the gap Hamming distance problem, two parties must determine whether their respective strings x; y 2 f0; 1g are at Hamming distance less than n=2 p n or greater than n=2 C p n: In a recent tour de force, Chakrabarti and Regev (STOC ’11) proved the long-conjectured ̋.n/ bound on the randomized communication complexity of this problem. In follow-up work several months ago, Vidick (2010; ECCC T...
متن کاملThe communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no less than a threshold d. We prove a quantum lower bound of (d) qubits in the general interactive model with shared prior entanglement. We also construct a classical protocol of O(d logd) bits in the restricted Simultane...
متن کاملThe One-Way Communication Complexity of Hamming Distance
Consider the following version of the Hamming distance problem for ±1 vectors of length n: the promise is that the distance is either at least 2 + √ n or at most 2 − √ n, and the goal is to find out which of these two cases occurs. Woodruff (Proc. ACM-SIAM Symposium on Discrete Algorithms, 2004) gave a linear lower bound for the randomized one-way communication complexity of this problem. In th...
متن کاملSome Bounds on Communication Complexity of Gap Hamming Distance
In this paper we obtain some bounds on communication complexity of Gap Hamming Distance problem (GHDnL,U ): Alice and Bob are given binary string of length n and they are guaranteed that Hamming distance between their inputs is either ≤ L or ≥ U for some L < U . They have to output 0, if the first inequality holds, and 1, if the second inequality holds. In this paper we study the communication ...
متن کاملOne-sided error communication complexity of Gap Hamming Distance
Assume that Alice has a binary string x and Bob a binary string y, both of length n. Their goal is to output 0, if x and y are at least Lclose in Hamming distance, and output 1, if x and y are at least U -far in Hamming distance, where L < U are some integer parameters known to both parties. If the Hamming distance between x and y lies in the interval (L, U), they are allowed to output anything...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 1986
ISSN: 0097-5397,1095-7111
DOI: 10.1137/0215065