Sharper upper bounds for unbalanced uniquely decodable code pairs

Per Austrin, Petteri Kaski, Mikko Koivisto, Jesper Nederlof

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3 Citaten (Scopus)

Samenvatting

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.

Originele taal-2Engels
Artikelnummer7888502
Pagina's (van-tot)1368-1373
Aantal pagina's6
TijdschriftIEEE Transactions on Information Theory
Volume64
Nummer van het tijdschrift2
DOI's
StatusGepubliceerd - 1 feb 2018

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