Completing comma-free codes

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COMPLETING COMMA-FREE CODES by

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 effectively locate such a completion. In particular, we can decide whether a given regular comma-free code is maximal.

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Varieties of comma-free codes

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), C3 comma-free codes (C3CFC), C3 self-complementary comma-free codes (C3CCFC), selfcomplementary maximal comma-free codes (CMCFC), C3 maximal comma-free codes (C3MCFC) and C3 self-complementary maximal comma-free codes (C3CMCFC). New properties with wor...

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Restrictions and Generalizations on Comma-Free Codes

A significant sector of coding theory is that of comma-free coding; that is, codes which can be received without the need of a letter used for word separation. The major difficulty is in finding bounds on the maximum number of comma-free words which can inhabit a dictionary. We introduce a new class called a self-reflective comma-free dictionary and prove a series of bounds on the size of such ...

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Binary templates for comma-free DNA codes

Arita and Kobayashi proposed a method for constructing comma-free DNA codes using binary templates, and showed that the separation d of any such binary template of length n satisfies d n/2. Kobayashi, Kondo andArita later produced an infinite family of binary templates with d 11n/30. Here we demonstrate the existence of an infinite family of binary templates with d >n/2 − (18n loge n) 1/2. We a...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2003

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(02)00595-9