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Sharper Upper Bounds for Unbalanced Uniquely Decodable Code Pairs
KTH, Skolan för elektroteknik och datavetenskap (EECS), Teoretisk datalogi, TCS.ORCID-id: 0000-0001-8217-0158
2018 (engelsk)Inngår i: IEEE Transactions on Information Theory, ISSN 0018-9448, E-ISSN 1557-9654, Vol. 64, nr 2, s. 1368-1373Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2018. Vol. 64, nr 2, s. 1368-1373
Emneord [en]
Additive combinatorics, binary adder channel, isoperimetric inequality, uniquely decodeable code pair, zero-error capacity
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Identifikatorer
URN: urn:nbn:se:kth:diva-222174DOI: 10.1109/TIT.2017.2688378ISI: 000422916500042Scopus ID: 2-s2.0-85040946882OAI: oai:DiVA.org:kth-222174DiVA, id: diva2:1180895
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QC 20180207

Tilgjengelig fra: 2018-02-07 Laget: 2018-02-07 Sist oppdatert: 2018-02-07bibliografisk kontrollert

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