Coding theory on h(x) extension of m sequences for Fibonacci numbers

DOI10.1142/S1793830915500081zbMath1362.11020OpenAlexW1994418765WikidataQ114071650 ScholiaQ114071650MaRDI QIDQ5261042

Bandhu Prasad

Publication date: 1 July 2015

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830915500081

zbMATH Keywords

companion matrixdeterminantgeneralized Fibonacci polynomialscode matrixcryptography protectionerror deduction and protection

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial codes (94B25) Decoding (94B35) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

• The generalized relations among the code elements for Fibonacci coding theory
• On generalized Fibonacci and Lucas polynomials
• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• Generalized Fibonacci Numbers and Associated Matrices
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