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  Relativised code concepts and multi-tube DNA dictionaries (2000) [3 citations — 0 self]

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by Tom Head
In C.S. Calude, G. P*aun, Finite Versus Infinite: Contributions to an Eternal Dilemma
http://www.math.binghamton.edu/dennis/DARPA/headp.ps
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Abstract:

Concepts from the theory of variable length codes are relativised to a language L so that demands are made only for those strings that belong to L. Decision procedures and regularity results appropriate for the relativised forms are given. This suggests the denition of a sequence of code types: the join codes of level k (1 k). At level 1 we have precisely the familiar comma free codes. For a join code of level k, a procedure for segmenting messages into code words is observed that consists of k steps, with each step being carried out in the elementary comma free manner. An illustration of this segmentation process is given using an idealization of the Watson-Crick base pairing of complementary strands of DNA. In this process the code words appear as ssDNA molecules in k distinct test tubes with each test tube content being washed over each incoming ssDNA complemented message strand. After k washings the sequence of attached code words provides the required segmentation.

Citations

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