Accès libre

On Tight Optimal Conflict-Avoiding Codes for 3, 4, 5 and 6 Active Users

Cybernetics and Information Technologies's Cover Image
Cybernetics and Information Technologies
Special Thematic Issue on Optimal Codes and Related Topics
À propos de cet article

Citez

1. Chung, F. R. K., J. A. Salehi, V. K. Wei. Optical Orthogonal Codes: Design, Analysis, and Applications. – IEEE Trans. Inform. Theory, Vol. 35, 1989, No 3, pp. 595-604.10.1109/18.30982Search in Google Scholar

2. Baicheva, T., S. Topalova. Optimal Conflict-Avoiding Codes for 3, 4 and 5 Active Users. – Problems of Information Transmission, Vol. 53, 2017, No 1, pp. 42-50.10.1134/S0032946017010033Search in Google Scholar

3. Baicheva, T., S. Topalova. Classification of Optimal Conflict-Avoiding Codes of Weights 6 and 7. – Electronic Notes in Discrete Mathematics, Vol. 57, March 2017, pp. 9-14.10.1016/j.endm.2017.02.003Search in Google Scholar

4. Fu, H., Y. Lin, M. Mishima. Optimal Conflict-Avoiding Codes of Even Length and Weight 3. – IEEE Trans. Inform. Theory, Vol. 56, 2010, No 11, pp. 5747-5756.10.1109/TIT.2010.2069270Open DOISearch in Google Scholar

5. Fu, H., Y. Lo, K. Shum. Optimal Conflict-Avoiding Codes of Odd Length and Weight Three. – Des. Codes Cryptogr., Vol. 72, 2014, No 2, pp. 289-309.10.1007/s10623-012-9764-5Search in Google Scholar

6. Jimbo, M., M. Mishima, S. Janiszewski, A. Y. Teymorian, V. D. Tonchev. On Conflict-Avoiding Codes of Length n = 4m for Three Active Users. – IEEE Trans. Inform. Theory, Vol. 53, 2007, No 8, pp. 2732-2742.10.1109/TIT.2007.901233Search in Google Scholar

7. Levenshtein, V. I. Conflict-Avoiding Codes for Many Active Users. – In: Abstarcts of 14th Internat. Conference Problems of Theoretic Cybernetics, Penza, 2005, pp. 86-86 (in Russian).Search in Google Scholar

8. Levenshtein, V. I., V. D. Tonchev. Optimal Conflict-Avoiding Codes for Three Active Users. – In: Proc. of IEEE Internat. Symposium on Inform. Theory, Adelaide, 2005, pp. 535-537.10.1109/ISIT.2005.1523392Search in Google Scholar

9. Levenshtein, V. I. Conflict-Avoiding Codes and Cyclic Triple Systems. – Probl. of Inform. Transm., Vol. 43, 2007, No 3, pp. 199-212.10.1134/S0032946007030039Search in Google Scholar

10. Lin, Y., M. Mishima, J. Satoh, M. Jimbo. Optimal Equi-Difference Conflict-Avoiding Codes of Odd Length and Weight Three. – Finite Fields Appl., Vol. 26, 2014, pp. 49-68.10.1016/j.ffa.2013.11.001Search in Google Scholar

11. Ma, W., C. Zhao, D. Shen. New Optimal Constructions of Conflict-Avoiding Codes of Odd Length and Weight 3. – Des. Codes Cryptogr., Vol. 73, 2014, No 3, pp. 791-804.10.1007/s10623-013-9827-2Search in Google Scholar

12. Mishima, M., H. Fu, S. Uruno. Optimal Conflict-Avoiding Codes of Length n≡0(mod 16) and Weight 3. – Des. Codes Cryptogr., Vol. 52, 2009, No 3, pp. 275-291.10.1007/s10623-009-9282-2Search in Google Scholar

13. Momihara, K. Necessary and Sufficient Conditions for Tight Equi-Difference Conflict Avoiding Codes of Weight 3. – Des. Codes Cryptogr, Vol. 45, 2007, No 3, pp. 379-390.10.1007/s10623-007-9139-5Search in Google Scholar

14. Momihara, K., M. Müler, J. Saton, M. Jimbo. Constant Weight Conflict-Avoiding Codes. – SIAM J. Discr. Math., Vol. 21, 2007, No 4, pp. 959-979.10.1137/06067852XSearch in Google Scholar

15. Shum, K. W., W. S. Wong. A Tight Asymptotic Bound on the Size of Constant-Weight Conflict-Avoiding Codes. – Des. Codes Cryptogr., Vol. 57, 2010, No 1, pp. 1-14.10.1007/s10623-009-9345-4Search in Google Scholar

16. Shum, K. W., W. S. Wong, C. S. Chen. A General Upper Bound on the Size of Constant-Weight Conflict Avoiding Codes. – IEEE Trans. Inform. Theory, Vol. 56, 2010, No 7, pp. 3265-3276.10.1109/TIT.2010.2048508Open DOISearch in Google Scholar

17. Tonchev, V. D. Tables of Conflict-Avoiding Codes. http://www.math.mtu.edu/tonchev/CAC.htmlSearch in Google Scholar

18. Wu, S. L., H. L. Fu. Optimal Tight Equi-Difference Conflict-Avoiding Codes of Length n = 2k ± 1 and Weight 3. – J. Comb. Des., Vol. 21, 2013, No 6, pp. 223-231.10.1002/jcd.21332Search in Google Scholar

eISSN:
1314-4081
Langue:
Anglais
Périodicité:
4 fois par an
Sujets de la revue:
Computer Sciences, Information Technology