Title :
On the Linear Programming Bounds for Constant Dimension Codes
Author :
Zhang, Zong-Ying ; Jiang, Yong ; Xia, Shu-Tao
Author_Institution :
Grad. Sch. at Shenzhen, Tsinghua Univ., Shenzhen, China
Abstract :
Recently, constant dimension codes were introduced to correct errors and/or erasures over the operator channel in random network coding. In this paper, we study the problem of maximum number of codewords for constant dimension codes by linear programming (LP)approach. We give LP bounds and then show that the compact Johnson bound is a special case of the proposed LP bounds.
Keywords :
error correction codes; linear programming; network coding; codewords; constant dimension codes; error correction; linear programming; random network coding; Authentication; Error correction codes; Linear programming; Network coding; Polynomials; Upper bound;
Conference_Titel :
Network Coding (NetCod), 2011 International Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-61284-138-0
DOI :
10.1109/ISNETCOD.2011.5978916