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Bruyère, Véronique; Wang, Limin; Zhang, Liang

On completion of codes with finite deciphering delay. (English) Zbl 0722.94006

Eur. J. Comb. 11, No. 6, 513-521 (1990).
Summary: We show a construction to embed a code with finite deciphering delay into a complete one, which preserves rationality and thinness properties. In consequence, each rational (thin) code with finite deciphering delay is included in a rational (thin) maximal code with the same delay.

Cited in 17 Documents

MSC:

94A45 Prefix, length-variable, comma-free codes
20M35 Semigroups in automata theory, linguistics, etc.

Keywords:

completion of codes; free submonoid; prefix codes; finite deciphering delay
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\textit{V. Bruyère} et al., Eur. J. Comb. 11, No. 6, 513--521 (1990; Zbl 0722.94006)
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References:

[1] Berstel, J.; Perrin, D., Theory of codes, (1985), Academic Press New York, London · Zbl 1022.94506
[2] V. Bruyère, Maximal codes with bounded deciphering delay, Theoret. Comput. Sci. (1990), to appear.
[3] Ehrenfeucht, A.; Rozenberg, G., Each regular code is included in a regular maximal code, RAIRO informat. theory,, 20, 89-96, (1985) · Zbl 0609.68053
[4] Nivat, M., Eléments de la théorie des codes, (), 278-294 · Zbl 0208.45101
[5] Perrin, D., Completing biprefix codes, Lecture notes in computer science,, 140, 397-406, (1982) · Zbl 0485.68075
[6] Restivo, A., On codes having no finite completions, Discr. math.,, 17, 309-316, (1977) · Zbl 0357.94011
[7] Schützenberger, M.P., Une théorie algébrique du codage, (), exposé no. 15 · Zbl 0053.40602
[8] Schützenberger, M.P., On a question concerning certain free submonoids, J. combin. theory,, 1, 437-442, (1966) · Zbl 0158.02302
[9] Limin Wang, Liang Zhang, Construction to embed a code with finite deciphering delay into a complete code, Acta Math. Sin., (1989), to appear.
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