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Contributions to Discrete Mathematics
Article . 2020 . Peer-reviewed
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Pell Coding and Pell Decoding Methods with Some Applications

Pell coding and Pell decoding methods with some applications
Authors: Taş, Nihal; Uçar, Sümeyra; Özgür, Nihal Yılmaz;

Pell Coding and Pell Decoding Methods with Some Applications

Abstract

We develop a new coding and decoding method using the generalized Pell $(p,i)$-numbers for $p=1$. The relations among the code matrix elements, error detection, and correction have been established for coding theory when $p=i=1$. We give two new blocking algorithms using Pell numbers and generalized Pell $(p,i)$-numbers for $p=1$.

Related Organizations
Keywords

Generalized Pell (p,i)-Number, Pell Number, Mathematics - Number Theory, generalized Pell numbers, Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, coding/decoding algorithm, Coding/Decoding Method, blocking algorithm, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Blocking Algorithm, Number Theory (math.NT), Pell numbers, Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science), Geometric methods (including applications of algebraic geometry) applied to coding theory

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    4
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
gold