Abstract
This paper proposes to code integers and binary trees by linear forms of aun-1+bun-type, where un-1 and un-1 are adjacent members of some integer sequence. New prefix codes of integers are obtained. Such codes have better characteristics than the well-known Levenshtein code. Data compression by means of coding by linear forms is considered. Linear Fibonacci forms are studied in detail.
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Anisimov, A.V. Data Coding by Linear Forms of Numerical Sequences. Cybernetics and Systems Analysis 39, 633–643 (2003). https://doi.org/10.1023/B:CASA.0000012084.26760.62
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DOI: https://doi.org/10.1023/B:CASA.0000012084.26760.62