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Some Connections Between Classical Coding and Network Coding Over Erroneous Cyclic Networks
- Source :
- IEEE Access, Vol 4, Pp 5889-5895 (2016)
- Publication Year :
- 2016
- Publisher :
- IEEE, 2016.
-
Abstract
- Recently, a framework was given for linear error-correcting network codes (LENCs) over cyclic networks on commutative rings. When the alphabet is considered as a rational power series ring, an LENC is referred to as a convolutional error-correcting network code (CENC). Recently, a metric was introduced for these codes based on the minimum rank distance. In this paper, a new metric is introduced for ring-based LENCs over cyclic networks based on the Hamming distance, which is referred to as the network Hamming distance. Then, some connections between maximum distance separable (MDS) LENCs and classical MDS codes are obtained. Finally, the network Hamming free distance is given for CENCs, which plays the role of the free distance for convolutional codes.
- Subjects :
- Block code
free distance
General Computer Science
Hamming bound
02 engineering and technology
Data_CODINGANDINFORMATIONTHEORY
Linear error-correcting network code
Combinatorics
commutative ring
0203 mechanical engineering
Cyclic code
0202 electrical engineering, electronic engineering, information engineering
General Materials Science
Electrical and Electronic Engineering
Mathematics
Discrete mathematics
network Hamming distance
General Engineering
020206 networking & telecommunications
020302 automobile design & engineering
Hamming distance
Coding theory
Linear code
ML decoder
Hamming(7,4)
lcsh:Electrical engineering. Electronics. Nuclear engineering
Hamming code
lcsh:TK1-9971
Subjects
Details
- Language :
- English
- ISSN :
- 21693536
- Volume :
- 4
- Database :
- OpenAIRE
- Journal :
- IEEE Access
- Accession number :
- edsair.doi.dedup.....3e2ce3de18147d86ff37ddafbeb5228f