Anisimov A. V.
Generating (2,3)-codes

The (2,3)-representation of integers utilizes the mixed numeration base of the radix-2 and auxilary radix-3. This representation yields a universal prefix-free binary encoding of all natural numbers with a variety of useful properties: robustness (self-synchronization), local error corrections, statistic regularities of code parameters, etc. The paper describes a procedure of monotonic generation of (2,3)-codewords in ascending order of their lengths. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: integer encoding, numeration system, prefix encoding, radix, Error correction, Number theory, Binary encodings, Code parameters, Code-words, Natural number, Prefix-free, Self synchronization, Statistic regularity, Useful properties, Codes (symbols)

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Cite:
Anisimov. (2020). Generating (2,3)-codes. Cybernetics and Systems Analysis, 56 (6), 12–19. doi: https://doi.org/10.1007/s10559-020-00307-9 http://jnas.nbuv.gov.ua/article/UJRN-0001169459