On Coding by (2,q)-Distance Fibonacci Numbers
In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients...
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| Vydáno v: | Mathematics (Basel) Ročník 8; číslo 11; s. 2058 |
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01.11.2020
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| ISSN: | 2227-7390, 2227-7390 |
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| Abstract | In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied (2,q)-distance Fibonacci numbers F2(q,n) and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence (Tq(n))n=−∞∞, which is an extension of Włoch’s sequence (F2(q,n))n=0∞. |
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| AbstractList | In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied (2,q) -distance Fibonacci numbers F2(q,n) and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence (Tq(n))n=−∞∞ , which is an extension of Włoch’s sequence (F2(q,n))n=0∞ . In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied(2,q)-distance Fibonacci numbersF2(q,n)and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence(Tq(n))n=−∞∞, which is an extension of Włoch’s sequence(F2(q,n))n=0∞. |
| Author | Trojovský, Pavel Matoušová, Ivana |
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| Cites_doi | 10.1080/00029890.1951.11999661 10.1142/S1793830911001097 10.1007/s12190-019-01240-7 10.3390/sym11101195 10.1155/2013/204674 10.1155/2014/428020 10.1016/j.chaos.2009.03.197 10.1007/s12095-015-0178-x 10.1007/978-3-0348-8107-4 10.3390/math8091487 10.1501/Commua1_0000000863 10.1016/0898-1221(89)90252-6 10.1016/j.chaos.2011.01.003 10.1080/00207390600712554 10.1016/j.cam.2006.10.071 10.1016/j.dam.2013.05.029 10.1186/s13662-019-2327-6 10.1016/j.amc.2011.05.022 10.1016/j.dam.2018.03.002 10.1016/j.chaos.2007.09.071 10.1063/1.5012181 10.3390/math7010074 10.1017/CBO9780511566042 10.1016/j.chaos.2005.12.054 10.1080/00029890.1961.11989696 10.3390/math8081387 10.1142/S1793830919500265 10.1002/9781118033067 10.1080/00029890.1960.11989593 10.3390/math7090805 |
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| Title | On Coding by (2,q)-Distance Fibonacci Numbers |
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