We prove that for every regular comma-free code there exists a maximal comma-free code containing it which is still regular and, moreover, we can e ectively locate such a completion. In particular, we can decide whether a given regular comma-free code is maximal.
Varieties of comma-free codes
β Scribed by Christian J. Michel; Giuseppe Pirillo; Mario A. Pirillo
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 202 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
New varieties of comma-free codes CFC of length 3 on the 4-letter alphabet are defined and analysed: self-complementary comma-free codes (CCFC), C 3 comma-free codes (C 3 CFC), C 3 self-complementary comma-free codes (C 3 CCFC), selfcomplementary maximal comma-free codes (CMCFC), C 3 maximal comma-free codes (C 3 MCFC) and C 3 self-complementary maximal comma-free codes (C 3 CMCFC). New properties with words of length 3, 4, 5 and 6 in comma-free codes are used for the determination of growth functions in the studied code varieties.
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## Abstract In the paper some combinatorial problems motivated by commaβfree codes are considered. We describe these problems, give the most significant known results and methods used, present some new results and formulate open problems. Β© 2004 Wiley Periodicals, Inc.
The hypothesis that the universal genetic code is adapted to double-strand coding is supported by its remarkable compatibility with the RNY comma-less hypothesis. Coding by a triplet code on a polynucleotide double-strand allows for enciphering of five additional messages with reference to a chosen