IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
5 years ago

Sharper Upper Bounds for Unbalanced Uniquely Decodable Code Pairs

Mikko Koivisto, , Petteri Kaski, Per Austrin, Jesper Nederlof
Two sets of 0–1 vectors of fixed length form a uniquely decodeable code pair if their Cartesian product is of the same size as their sumset, where the addition is pointwise over integers. For the size of the sumset of such a pair, van Tilborg has given an upper bound in the general case. Urbanke and Li, and later Ordentlich and Shayevitz, have given better bounds in the unbalanced case, that is, when either of the two sets is sufficiently large. Improvements to the latter bounds are presented.

Publisher URL: http://ieeexplore.ieee.org/document/7888502

DOI: 7888502

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