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In this paper, we study a construction of binary switch codes. A switch code is a code such that a multi-set request of information symbols can be simultaneously recovered from disjoint sets of codeword symbols. Our construction is optimal in the sense that it has the smallest codeword length given its average encoding degree, which is logarithmic in the code dimension. Moreover, the number of queries...
We study (symbol-pair) codes for symbol-pair read channels introduced recently by Cassuto and Blaum (2010). A Singleton-type bound on symbol-pair codes is established and infinite families of optimal symbol-pair codes are constructed. These codes are maximum distance separable (MDS) in the sense that they meet the Singleton-type bound. In contrast to classical codes, where all known -ary MDS codes...
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