Coding theory on Pell-Lucas p numbers

In this paper, we developed a new coding and decoding method followed from Pell-Lucas p numbers SpAn. We established the relations among the code matrix elements for p = 1 and i=1, error detection and correction for this coding theory. Correction ability of this method is 93.33% for p = 1,i=1 and fo...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-10, Vol.1344 (1), p.12017
Main Authors: Sundarayya, P., Prasad, M.G. Vara
Format: Article
Language:English
Subjects:
11B39
11T71
94B25
94B35
code matrix
Coding
Coding theory
Decoding
Error correction
Error detection
golden mean
Lucas
numbers
Pell numbers
Pell-Lucas
Physics
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Summary:In this paper, we developed a new coding and decoding method followed from Pell-Lucas p numbers SpAn. We established the relations among the code matrix elements for p = 1 and i=1, error detection and correction for this coding theory. Correction ability of this method is 93.33% for p = 1,i=1 and for p = 2,i=2 the correction ability is 99.80%. In general, correction ability of this method increases as pincreases.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1344/1/012017