Network coding with flags

被引:16
作者
Liebhold, Dirk [1 ]
Nebe, Gabriele [1 ]
Vazquez-Castro, Angeles [2 ]
机构
[1] Rhein Westfal TH Aachen, Lehrstuhl Math, D-52056 Aachen, Germany
[2] Univ Autonoma Barcelona, Bellaterra, Spain
关键词
Network coding; Spherical building; Flag variety; Error correcting codes; Grassmann distance on flags;
D O I
10.1007/s10623-017-0361-5
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.
引用
收藏
页码:269 / 284
页数:16
相关论文
共 10 条
[1]  
Abramenko P., 2008, SPRINGER GRADUATE TE, V248
[2]   Network information flow [J].
Ahlswede, R ;
Cai, N ;
Li, SYR ;
Yeung, RW .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (04) :1204-1216
[3]  
Humphreys J.E., 1990, Reflection Groups and Coxeter Groups
[4]   A combinatorial approach to the double cosets of the symmetric group with respect to Young subgroups [J].
Jones, AR .
EUROPEAN JOURNAL OF COMBINATORICS, 1996, 17 (07) :647-655
[5]   Coding for errors and erasures in random network coding [J].
Koetter, Ralf ;
Kschischang, Frank R. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (08) :3579-3591
[6]   The depth of a permutation [J].
Petersen, T. Kyle ;
Tenner, Bridget Eileen .
JOURNAL OF COMBINATORICS, 2015, 6 (1-2) :145-178
[7]   A rank-metric approach to error control in random network coding [J].
Silva, Danilo ;
Kschischang, Frank R. ;
Koetter, Ralf .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (09) :3951-3967
[8]  
Sloane N. J. A., 2016, On-Line Encyclopedia of Integer Sequences
[9]  
Taylor D. E., 1992, The geometry of the classical groups, V9
[10]  
Vazquez-Castro M. A., 2015, IEEE INF THEOR WORK