Some Connections Between Classical Coding and Network Coding Over Erroneous Cyclic Networks

IEEE Access

Volumn 4, Issue , 2016, Pages 5889-5895

  Samadi Khaftari, Vahid ^a   Esmaeili, Morteza ^a,b   Gulliver, Thomas Aaron ^b  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

commutative ring; free distance; Linear error correcting network code; ML decoder; network Hamming distance

Indexed keywords

ALGEBRA; CODES (SYMBOLS); CONVOLUTION; CONVOLUTIONAL CODES; ERRORS; HAMMING DISTANCE;

COMMUTATIVE RING; ERROR-CORRECTING; FREE DISTANCE; MAXIMUM DISTANCE; MDS CODE; MINIMUM RANK; ML DECODER; RATIONAL POWER SERIES;

NETWORK CODING;

EID: 85027683777     PISSN: None     EISSN: 21693536     Source Type: Journal    
DOI: 10.1109/ACCESS.2016.2606608     Document Type: Article

References (9)

1. N. Cai and R. W. Yeung, "Network coding and error correction," in Proc. IEEE Int. Theory Workshop, Oct. 2002, pp. 119-122.
2. R.W. Yeung and N. Cai, "Network error-correction, part I: Basic concepts and upper bounds," Commun. Inf. Syst., vol. 6, no. 1, pp. 19-36, 2006.
3. N. Cai and R. W. Yeung, "Network error-correcting, part II: Lower bounds," Commun. Inf. Syst., vol. 6, no. 1, pp. 37-54, 2006.
4. Z. Zhang, "Linear network error correction codes in packet networks," IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 209-218, Jan. 2008.
5. S. Yang, R. W. Yeung, and C. K. Ngai, "Refined coding bounds and code constructions for coherent network error correction," IEEE Trans. Inf. Theory, vol. 57, no. 3, pp. 1409-1424, Mar. 2011.
6. X. Guang, F.-W. Fu, and Z. Zhang, "Construction of network errorcorrection codes in packet networks," IEEE Trans. Inf. Theory, vol. 59, no. 2, pp. 1030-1047, Feb. 2011.
7. V. Samadi and M. Esmaeili, "Ring-based linear network coding on erroneous cyclic networks," IET Commun., doi: 10.1049/iet-com.2015.1224
8. S.-Y. R. Li and Q. T. Sun, "Network coding via commutative algebra," IEEE Trans. Inf. Theory, vol. 57, no. 1, pp. 403-415, Jan. 2011.
9. R. Johannesson and K. S. Zigangirov, Fundamentals of Convolutional Coding, 2nd ed. New York, NY, USA: Wiley, Jun. 2015.