
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 $p=1$.
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
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
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