# Finite Completion of comma-free codes Part 1

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 38, Issue: 2, page 91-115
- ISSN: 0988-3754

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topLam, Nguyen Huong. "Finite Completion of comma-free codes Part 1." RAIRO - Theoretical Informatics and Applications 38.2 (2010): 91-115. <http://eudml.org/doc/92738>.

@article{Lam2010,

abstract = {
This paper is the first step in the
solution of the problem of finite completion of comma-free codes.
We show that every finite comma-free code is included in a
finite comma-free code of particular kind, which we called, for
lack of a better term,
canonical comma-free code. Certainly, finite maximal comma-free codes
are always canonical. The final step of the solution which consists
in proving further that every canonical comma-free code is completed
to a finite
maximal comma-free code, is intended to be published in a forthcoming
paper.
},

author = {Lam, Nguyen Huong},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Comma-free code; completion; finite maximal comma-free code.},

language = {eng},

month = {3},

number = {2},

pages = {91-115},

publisher = {EDP Sciences},

title = {Finite Completion of comma-free codes Part 1},

url = {http://eudml.org/doc/92738},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Lam, Nguyen Huong

TI - Finite Completion of comma-free codes Part 1

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 2

SP - 91

EP - 115

AB -
This paper is the first step in the
solution of the problem of finite completion of comma-free codes.
We show that every finite comma-free code is included in a
finite comma-free code of particular kind, which we called, for
lack of a better term,
canonical comma-free code. Certainly, finite maximal comma-free codes
are always canonical. The final step of the solution which consists
in proving further that every canonical comma-free code is completed
to a finite
maximal comma-free code, is intended to be published in a forthcoming
paper.

LA - eng

KW - Comma-free code; completion; finite maximal comma-free code.

UR - http://eudml.org/doc/92738

ER -

## References

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- B.H. Jiggs, Recent Results in Comma-free Codes. Canad. J. Math.15 (1963) 178-187. Zbl0108.14304
- N.H. Lam, Finite Completion of Comma-free Codes. Part I, in Proc. DLT. Springer-Verlag, Lect. Notes Comput. Sci.2450 (2002) 357-368.
- Al. A. Markov, An Example of an Idependent System of Words Which Cannot Be Included in a Finite Complete System. Mat. Zametki1 (1967) 87-90. Zbl0154.00703
- A. Restivo, On Codes Having No Finite Completions. Discret Math.17 (1977) 306-316. Zbl0357.94011
- R.A. Scholtz, Maximal and Variable Word-length Comma-free Codes. IEEE Trans. Inform. TheoryIT-15 (1969) 555-559. Zbl0172.43104
- H.J. Shyr, Free Monoids and Languages. Lecture Notes, Hon Min Book Company, Taichung (1991). Zbl0746.20050
- J.D. Watson and F.C.H. Crick, A Structure for Deoxyribose Nucleic Acid. Nature171 (1953) 737.

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