TY - GEN
T1 - On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
AU - Liu, Hedongliang
AU - Wei, Hengjia
AU - Puchinger, Sven
AU - Wachter-Zeh, Antonia
AU - Schwartz, Moshe
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/6
Y1 - 2020/6
N2 - We study scalar-linear and vector-linear solutions to 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. These bounds improve and extend the parameter range of known bounds. Using these new bounds we present a general lower bound on the gap in the alphabet size between scalar-linear and vector-linear solutions.
AB - We study scalar-linear and vector-linear solutions to 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. These bounds improve and extend the parameter range of known bounds. Using these new bounds we present a general lower bound on the gap in the alphabet size between scalar-linear and vector-linear solutions.
UR - http://www.scopus.com/inward/record.url?scp=85090403877&partnerID=8YFLogxK
U2 - 10.1109/ISIT44484.2020.9173942
DO - 10.1109/ISIT44484.2020.9173942
M3 - Conference contribution
AN - SCOPUS:85090403877
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1646
EP - 1651
BT - 2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE International Symposium on Information Theory, ISIT 2020
Y2 - 21 July 2020 through 26 July 2020
ER -