CHARACTERIZATIONS FOR SEVERAL CLASSES OF ALTERNATIVE CODES
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DOI:
https://doi.org/10.15625/1813-9663/32/3/9350Keywords:
Code, alternative code, norm alternative code, left norm alternative code, right norm alternative code, two-sided alternative code, left alternative code, right alternative code, strict alternative codeAbstract
Alternative codes, an extension of the notion of ordinary codes, have been first introduced and considered by P. T. Huy et al. in 2004. In this paper, we consider some new subclasses of alternative codes. In particular, characteristic properties and a hierarchy of such codes are established. Also, algorithms to test for these classes of codes are proposed.Metrics
References
J. Berstel and D. Perrin, Theory of Codes. Academic Press, New York, 1985.
N. D. Han and P. T. Huy, "On unambiguity of languages related to codes," in Future Information Technology, Application, and Service, J. P. James, C. M. L. Victor, L. W. Cho, and S. Taeshik, Ed. Springer Netherlands, pp. 32--38, 2012.
N. T. Hien and D. L. Van, "Codes induced by alternative codes," Acta Mathematica Vietnamica, 2017 (submitted).
K. V. Hung and D. L. Van, "Prime decomposition problem for several kinds of regular codes," Lecture Notes in Computer Science, vol. 4281, pp. 213--227, 2006.
P. T. Huy and V. T. Nam, "Alternative codes and pre-context codes," in Proceedings of the 7th National conference: Selected problems about IT and Telecommunication, 2004, pp. 188--197 (in Vietnamese).
H. Jurgensen and S. Konstantinidis, "Codes," in Handbook of Formal Languages, G. Rozenberg and A. Salomaa, Ed. Springer, Berlin, pp. 511--607, 1997.
A. A. Sardinas and C. W. Patterson, "A necessary and sufficient condition for the unique decomposition of coded messages," IRE International Convention Record, vol. 8, pp. 104--108, 1953.
H. J. Shyr, Free Monoids and Languages. Hon Min Book Company, Taichung, 1991.
D. L. Van and K. V. Hung, "On codes defined by binary relations, Part I: Embedding Problem," Vietnam Journal of Mathematics, vol. 39, no. 2, pp. 159--176, 2011.
H. N. Vinh, P. T. Huy, and D. L. Van, "Extension of codes and algorithms for alternative codes and codes of bounded words," Journal of Computer Science and Cybernetics, vol. 26, no. 4, pp. 301--311, 2010 (in Vietnamese).
H. N. Vinh, V. T. Nam, and P. T. Huy, "Codes based on unambiguous products," Lecture Notes in Computer Science, vol. 6423, pp. 252--262, 2010.
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