Network coding theory: single sources
Communications and Information Theory
Secure Error-Correction Network Coding in a Randomized Setting
ISA '09 Proceedings of the 3rd International Conference and Workshops on Advances in Information Security and Assurance
Training overhead for decoding random linear network codes in wireless networks
IEEE Journal on Selected Areas in Communications - Special issue on network coding for wireless communication networks
On randomized linear network codes and their error correction capabilities
IEEE Transactions on Information Theory
Protection against link errors and failures using network coding in overlay networks
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
On noncoherent correction of network errors and erasures with random locations
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
On metrics for error correction in network coding
IEEE Transactions on Information Theory
Robust video multicast with joint network coding and video interleaving
Journal of Visual Communication and Image Representation
Network error correction with unequal link capacities
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Retransmission strategies of the generation-based network coding in packet networks
APCC'09 Proceedings of the 15th Asia-Pacific conference on Communications
Convolutional codes for network-error correction
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Constant-rank codes and their connection to constant-dimension codes
IEEE Transactions on Information Theory
Random linear network coding with ladder-shaped global coding matrix for robust video transmission
Journal of Visual Communication and Image Representation
| Hi-index | 755.02 |
In this paper, we study basic properties of linear network error correction codes, their construction and error correction capability for various kinds of errors. Our discussion is restricted to the single-source multicast case. We define the minimum distance of a network error correction code. This plays the same role as it does in classical coding theory. We construct codes that can correct errors up to the full error correction capability specified by Singleton bound for network error correction codes recently established by Cai and Yeung. We propose a decoding principle for network error correction codes, based on which we introduce two decoding algorithms and analyze their performance. We formulate the global kernel error correction problem and characterize the error correction capability of codes for this kind of error.