Ring-theoretic foundation of convolutional network coding

Proceedings - 2008 4th Workshop on Network Coding, Theory, and Applications, NetCod 2008

Volumn , Issue , 2008, Pages

  Li, Shuo Yen Robert ^a   Ho, Siu Ting ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ABSTRACTING; CODES (SYMBOLS); CONVOLUTION; DECODING; POLYNOMIAL APPROXIMATION; POLYNOMIALS; VIDEO STREAMING; VIDEODISKS; VOLTAGE REGULATORS;

ABSTRACT THEORY; ALGEBRAIC STRUCTURES; APPLICATIONS.; CONVOLUTIONAL NETWORKS; DATA RATES; LINEAR TIME INVARIANTS; NETWORK CODING; POWER SERIES; SPACE-TIME DOMAINS; SYMBOL ALPHABET;

PROGRAMMING THEORY;

EID: 49749122195     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NETCOD.2008.4476179     Document Type: Conference Paper

References (17)

1. S.-Y. R. Li and R. W. Yeung, "Single-source network information flow," Proceedings of the 1999 IEEE Information Theory Workshop, Metsovo, Greece, p. 25, June-July, 1999.
2. R. Alshwede, N. Cai, S.-Y. R. Li and R. W. Yeung, "Network information flow," IEEE Transactions on Information Theory, vol. 46, pp. 1204-1216, February, 2000.
3. S.-Y. R. Li and R. W. Yeung, "Network Multicast Flow via Linear Coding," Proceedings of International Symposium on Operations Research and its Applications (ISORA'98), Kunming, China, pp. 197-211, August 1998.
4. S.-Y. R. Li, R. W. Yeung, and N. Cai, "Linear network coding," IEEE Transactions on Information Theory, vol. 49, No. 2, pp. 371-381, Feb., 2003.
5. R. W. Yeung, S.-Y. R. Li, N. Cai and Z. Zhang, "Network coding theory," Foundatoin and Trends in Communications and Information Technology, vol. 2, ISSN: 1567-2190.
6. S.-Y. R. Li and R. W. Yeung, "On convolutional network coding," IEEE International Symposium on Information Theory, July 2006 pp. 1743-1747
7. R. Koetter and M. Medard, "An Algebraic Approach to Network Coding," IEEE Transactions on Networking, vol. 11, No. 5, pp. 782-795, Oct. 2003.
8. E. Erez and M. Feder, "Convolutional network codes for cyclic networks.," First Workshop on Network Coding, Theory, and Applications, Riva del Garda, Italy, April 7, 2005, ISIT06
9. John A. Beachy, "Introductory Lectures on Rings and Modules," Cambridge University Press, 1999.
10. Wikipedia, http://en.wikipedia.ora/wiki/Localization of a ring.
11. WolframMathworld, http://mathworld.wolfram.com/Localization.html.
12. Wikipedia. http://en.wikipedia.org/wiki/Local_ring.
13. Answer.com, http://www.answers.com/topic/discrete-valuation-ring.
14. G.D. Forney, Jr., "Convolutional codes I: algebraic structure," IEEE Transactions on Information Theory, vol. 16, No. 2, pp. 720-736, Nov., 1970.
15. William, A. Adkins, S. H. Weintraub, "Algebra - an approach via module theory," Graduate texts in Mathematics, Springer-Verlag, ISBN: 0-387-97839-9.
16. M. Tan, R. W. Yeung, and S. T. Ho, "A unified framework for linear network codes," submitted to NETCOD 2008.
17. S. Jaggi, P. Sanders, P. A. Chou, M. Effros, S. Egner, K. Jain, L. M. G. M. Tolhuizen, "Polynomial time algorithms for multicast network code construction," IEEE Transactions on Information Theory, vol. 51, No. 6, pp. 1973-1982, Jun., 2005.