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- W12100181 abstract "ABSTRACT General techniques exist for enumerating sequences over a finite alphabet. By decomposing sequences into maximal substrings with respect to certain properties, generating functions can be obtained in a routine manner. In this paper we apply these techniques to a recursive construction by R.A. Scholtz for producing maximum size dictionaries for fixed odd word length comma-free codes. From an enumerative point of view the construction is of special interest because of its recursive nature. A functional equation for the desired generating function is obtained by a limiting process. The method generalizes a handle variations of the construction not confined to odd word length. A bonus to the enumerative analysis of this construction, and another by W. Eastman, has been the clarification of certain relationships between the two constructions. In particular, it is shown that the two constructions can produce distinct codes, and the situation when they produce the same codes is characterized." @default.
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- W12100181 date "1983-01-01" @default.
- W12100181 modified "2023-09-27" @default.
- W12100181 title "AN ENUMERATIVE INTERPRETATION OF THE SCHOLTZ CONSTRUCTION FOR COMMA-FREE CODES" @default.
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- W12100181 doi "https://doi.org/10.1016/b978-0-12-198820-3.50019-x" @default.
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