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Coding theory based on balancing polynomials

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Języki publikacji
EN
Abstrakty
EN
In this paper, we introduce a Qn2 (x) matrix, whose elements are balancing polynomials, and develop a new coding and decoding method following from the Qn2 (x) matrix. We establish the relations between the code matrix elements, error detection and correction for this coding theory.
Rocznik
Strony
336--346
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
  • Department of Mathematics, Kandi Raj College, Kandi - 742137, India
Bibliografia
  • Berczes, A., Liptai, K. and Pink, I. (2010) On generalized balancing sequences. Fibonacci Quart. 48(2), 121–128.
  • Behera, A. and Panda, G. K. (1999) On the square roots of triangular numbers. Fibonacci Quart. 37(2), 98–105.
  • Belbachair, H. and Szalay, L. (2014) Balancing in direction (1,-1) in Pascals triangle. Armenian J. Math. 6(1), 32–40.
  • Frontczak, R. (2019a) Identities for generalized balancing numbers. Notes on Number Theory and Discrete Mathematics, 25, 169–180.
  • Frontczak, R. (2019b) On balancing polynomials. Appl. Math. Sci. 13, 57–66.
  • Frontczak, R. (2019c) Powers of balancing polynomials and some consequences for Fibonaccci sums. Int. J. Math. Anal. 13, 109–115.
  • Liptai, K., Luca, F., Pinter, A. and Szalay, L. (2009) Generalized balancing numbers. Indagationes Math. 20, 87–100.
  • Panda, G. K. and Rout, S. S. (2013) Gap balancing numbers. Fibonacci Quart. 51(3), 239–248.
  • Prasad, B. (2018) Coding theory on balancing numbers. Int. J. Open Problems Compt. Math. 11(4), 73–85.
  • Ray, P. K. (2014) Balancing sequences of matrices with application to algebra of balancing numbers. Notes on Number Theory and Discrete Mathematics 20(1), 49–58.
  • Stakhov, A. P. (1977) Introduction into algorithm measurement theory. Soviet Radio, Moscow (In Russian).
  • Stakhov, A. P. (2006) Fibonacci matrices, a generalization of the cassini formula and a new coding theory. Chaos, Solitons and Fractals 30, 56–66.
  • Szakacs, T. (2011) Multiplying balancing numbers. Acta Univ. Sapientiae Math. 3(1), 90–96.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b7735a90-2127-408c-97b1-b0f9c2729494
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