Compressed error and erasure correcting codes via rank-metric codes in random network coding

2011 ◽  
Vol 25 (11) ◽  
pp. 1398-1414 ◽  
Author(s):  
Siguang Chen ◽  
Meng Wu ◽  
Weifeng Lu
Keyword(s):  
Network Coding ◽  
Random Network ◽  
Random Network Coding ◽  
Rank Metric ◽  
Rank Metric Codes

scholarly journals A Rank-Metric Approach to Error Control in Random Network Coding

2008 ◽  
Vol 54 (9) ◽  
pp. 3951-3967 ◽  
Author(s):  
Danilo Silva ◽  
Frank R. Kschischang ◽  
Ralf Koetter
Keyword(s):  
Network Coding ◽  
Error Control ◽  
Random Network ◽  
Random Network Coding ◽  
Rank Metric

scholarly journals Convolutional Codes in Rank Metric With Application to Random Network Coding

2015 ◽  
Vol 61 (6) ◽  
pp. 3199-3213 ◽  
Author(s):  
Antonia Wachter-Zeh ◽  
Markus Stinner ◽  
Vladimir Sidorenko
Keyword(s):  
Network Coding ◽  
Random Network ◽  
Convolutional Codes ◽  
Random Network Coding ◽  
Rank Metric

Cooperative Retransmission Based on Network Coding with Fourier Matrix for Wireless Ad Hoc Networks

2013 ◽  
Vol 462-463 ◽  
pp. 701-705
Author(s):  
Dai Mei Chen ◽  
Xi Hui Fan ◽  
Yu Mei Wang ◽  
Yue Du
Keyword(s):  
Ad Hoc Networks ◽  
Network Coding ◽  
Wireless Ad Hoc Networks ◽  
Ad Hoc ◽  
Random Network ◽  
Full Rank ◽  
Collision Probability ◽  
Random Network Coding ◽  
Hoc Networks ◽  
Fourier Matrix

In wireless Ad Hoc networks, the combination of cooperative communication and network coding is an effective technique to improve the efficiency of retransmission. In most literature, nodes cooperated not fully, only as a relay, and XOR or random network coding had some shortage, such as, it was NP-Hard to achieve optimal coding strategy, can't ensure all lost packets can be encoded and the coding matrix must be full rank. This paper proposes a retransmission scheme called CRNCF. In this scheme, nodes cooperated sufficient, and used Fourier matrix's element as coding coefficient which can guarantee the solvability of receiving node, and packet's head only contain the row number of matrix. Simulation results show that CRNCF can improve the performance of the retransmission in aspects of throughput, security, collision probability, and cost of packet‘s head than other schemes.

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