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Problemy Peredachi Informatsii, 2018, Volume 54, Issue 4, Pages 51–59 (Mi ppi2280)  
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

On the complexity of Fibonacci coding

I. S. Sergeev

Federal State Unitary Enterprise “Kvant Scientific Research Institute”, Moscow, Russia
Full-text PDF (198 kB) Citations (4)
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Abstract: We show that converting an $n$-digit number from a binary to Fibonacci representation and backward can be realized by Boolean circuits of complexity $O(M(n)\log n)$, where $M(n)$ is the complexity of integer multiplication. For a more general case of $r$-Fibonacci representations, the obtained complexity estimates are of the form $2^{O(\sqrt{\log n})}n$.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00485_а
Supported in part by the Russian Foundation for Basic Research, project no. 17-01-00485.
Received: 30.05.2018
Revised: 30.05.2018
Accepted: 18.09.2018
English version:
Problems of Information Transmission, 2018, Volume 54, Issue 4, Pages 343–350
DOI: https://doi.org/10.1134/S0032946018040038
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:519.72
Language: Russian
Citation: I. S. Sergeev, “On the complexity of Fibonacci coding”, Probl. Peredachi Inf., 54:4 (2018), 51–59; Problems Inform. Transmission, 54:4 (2018), 343–350
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:48
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