TY - GEN
T1 - Polytope codes against adversaries in networks
AU - Kosut, Oliver
AU - Tong, Lang
AU - Tse, David
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - Network coding is studied when an unknown subset of nodes in the network is controlled by an adversary. To solve this problem, a new class of codes called Polytope Codes is introduced. Polytope Codes are linear codes operating over bounded polytopes in real vector fields. The polytope structure creates additional complexity, but it induces properties on marginal distributions of code vectors so that validities of codewords can be checked by internal nodes of the network. It is shown that a cut-set bound for a class planar networks can be achieved using Polytope Codes. It is also shown that this cut-set bound is not always tight, and a tighter bound is given for an example network.
AB - Network coding is studied when an unknown subset of nodes in the network is controlled by an adversary. To solve this problem, a new class of codes called Polytope Codes is introduced. Polytope Codes are linear codes operating over bounded polytopes in real vector fields. The polytope structure creates additional complexity, but it induces properties on marginal distributions of code vectors so that validities of codewords can be checked by internal nodes of the network. It is shown that a cut-set bound for a class planar networks can be achieved using Polytope Codes. It is also shown that this cut-set bound is not always tight, and a tighter bound is given for an example network.
KW - Byzantine attack
KW - Network coding
KW - Network error correction
KW - Nonlinear codes
UR - http://www.scopus.com/inward/record.url?scp=77955684457&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955684457&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2010.5513777
DO - 10.1109/ISIT.2010.5513777
M3 - Conference contribution
AN - SCOPUS:77955684457
SN - 9781424469604
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2423
EP - 2427
BT - 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
T2 - 2010 IEEE International Symposium on Information Theory, ISIT 2010
Y2 - 13 June 2010 through 18 June 2010
ER -