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Title:

On the Gap between Scalar ang Vector Solutions of Generalized Combination Networks

Document type:
Zeitschriftenaufsatz
Author(s):
Liu, H.; Wei, H.; Puchinger, S.; Wachter-Zeh, A.; Schwartz, M.
Abstract:
We study scalar-linear and vector-linear solutions of the generalized combination network. We derive new upper and lower bounds on the maximum number of nodes in the middle layer, depending on the network parameters and the alphabet size. These bounds improve and extend the parameter range of known bounds. Using these new bounds we present a lower bound and an upper bound on the gap in the alphabet size between optimal scalar-linear and optimal vector-linear network coding solutions. For a fixed...     »
Journal title:
IEEE Transactions on Information Theory
Year:
2021
Quarter:
1. Quartal
Month:
Mar
Reviewed:
ja
Fulltext / DOI:
doi:10.1109/TIT.2021.3065364
WWW:
https://ieeexplore-ieee-org.eaccess.ub.tum.de/document/9375004
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