Paper ID | N.5.1 | ||
Paper Title | Min-rank of Embedded Index Coding Problems | ||
Authors | Anjana Ambika Mahesh, Nujoom Sageer Karat, Balaji Sundar Rajan, Indian Institute of Science Bangalore, India | ||
Session | N.5: Index Coding | ||
Presentation | Lecture | ||
Track | Networking and Network Coding | ||
Manuscript | Click here to download the manuscript | ||
Virtual Presentation | Click here to watch in the Virtual Symposium | ||
Abstract | For the problem of embedded index coding, a matrix representation, called a side-information matrix and a metric called \emph{min-rank} are defined to characterize the length of an optimal embedded index code. An optimal embedded index code for a given embedded index coding problem is shown to be obtainable from the columns of its side information matrix. Further, for a class of embedded index coding problems, called \emph{one-sided neighboring side information} problems, the min-rank is derived and a transmission scheme which has length equal to this min-rank is presented. |
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia