Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 23 Sayı: 5, 929 - 933, 01.10.2019

Öz

Kaynakça

  • Merkle-Hellman kripto sistemi – https://tr.vikipedi.org, Erişim Tarihi: 20.11.2018
  • Koshy, T., 2001, Fibonacci and Lucas numbers with applications, John Wiley & Sons, New York-Toronto
  • Vajda, S., 1989, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Courier CorporationBrannan, D.A., 2006, A First Course in Mathematical Analysis, Cambridge University Press
  • Mollin, R.A., 2007, An Introduction to Cryptography, Chapman&Hall/CRC, Boca Raton
  • Uçar, S., Taş, N., Özgür, N.Y., A new cryptography model via Fibonacci and Lucas numbers, arXiv: 1709.10355 [cs.CR].
  • N Taş, S Uçar, N.Y. Özgür, Ö.Ö. Kaymak, 2018, A new coding/decoding algorithm using Fibonacci numbers, Discrete Mathematics, Algorithms and Applications 10 (02)
  • M. Basu, B. Prasad, The generalized relations among the code elements for Fibonacci coding theory, Chaos Solitons Fractals 41 (2009), no. 5, 2517–2525
  • S. Prajapat, A. Jain, R. S. Thakur, A Novel Approach For Information Security With Automatic Variable Key Using Fibonacci Q-Matrix, IJCCT 3 (2012), no. 3, 54–57.
  • A. Stakhov, V. Massingue, A. Sluchenkov, Introduction into Fibonacci Coding and Cryptography, Osnova, Kharkov (1999).A. P. Stakhov, Fibonacci matrices, a generalization of the Cassini formula and a new coding theory, Chaos Solitons Fractals 30 (2006), no. 1, 56–66.

Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

Yıl 2019, Cilt: 23 Sayı: 5, 929 - 933, 01.10.2019

Öz

The uniqueness of the sum of the elements of finite subsets of the odd or
even indexed Fibonacci and Lucas sequences are proved. Moreover, it is shown
that the odd or even indexed Fibonacci and Lucas sequences are superincreasing
sequences. Furthermore, by utilizing the uniqueness properties established a
new cryptology method is presented and exemplified.

Kaynakça

  • Merkle-Hellman kripto sistemi – https://tr.vikipedi.org, Erişim Tarihi: 20.11.2018
  • Koshy, T., 2001, Fibonacci and Lucas numbers with applications, John Wiley & Sons, New York-Toronto
  • Vajda, S., 1989, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Courier CorporationBrannan, D.A., 2006, A First Course in Mathematical Analysis, Cambridge University Press
  • Mollin, R.A., 2007, An Introduction to Cryptography, Chapman&Hall/CRC, Boca Raton
  • Uçar, S., Taş, N., Özgür, N.Y., A new cryptography model via Fibonacci and Lucas numbers, arXiv: 1709.10355 [cs.CR].
  • N Taş, S Uçar, N.Y. Özgür, Ö.Ö. Kaymak, 2018, A new coding/decoding algorithm using Fibonacci numbers, Discrete Mathematics, Algorithms and Applications 10 (02)
  • M. Basu, B. Prasad, The generalized relations among the code elements for Fibonacci coding theory, Chaos Solitons Fractals 41 (2009), no. 5, 2517–2525
  • S. Prajapat, A. Jain, R. S. Thakur, A Novel Approach For Information Security With Automatic Variable Key Using Fibonacci Q-Matrix, IJCCT 3 (2012), no. 3, 54–57.
  • A. Stakhov, V. Massingue, A. Sluchenkov, Introduction into Fibonacci Coding and Cryptography, Osnova, Kharkov (1999).A. P. Stakhov, Fibonacci matrices, a generalization of the Cassini formula and a new coding theory, Chaos Solitons Fractals 30 (2006), no. 1, 56–66.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Alparslan Kargın Bu kişi benim 0000-0002-2914-5399

Emre Kişi 0000-0001-7763-8932

Halim Özdemir 0000-0003-4624-437X

Yayımlanma Tarihi 1 Ekim 2019
Gönderilme Tarihi 6 Mart 2019
Kabul Tarihi 11 Mayıs 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 23 Sayı: 5

Kaynak Göster

APA Kargın, A., Kişi, E., & Özdemir, H. (2019). Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences. Sakarya University Journal of Science, 23(5), 929-933.
AMA Kargın A, Kişi E, Özdemir H. Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences. SAUJS. Ekim 2019;23(5):929-933.
Chicago Kargın, Alparslan, Emre Kişi, ve Halim Özdemir. “Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences”. Sakarya University Journal of Science 23, sy. 5 (Ekim 2019): 929-33.
EndNote Kargın A, Kişi E, Özdemir H (01 Ekim 2019) Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences. Sakarya University Journal of Science 23 5 929–933.
IEEE A. Kargın, E. Kişi, ve H. Özdemir, “Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences”, SAUJS, c. 23, sy. 5, ss. 929–933, 2019.
ISNAD Kargın, Alparslan vd. “Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences”. Sakarya University Journal of Science 23/5 (Ekim 2019), 929-933.
JAMA Kargın A, Kişi E, Özdemir H. Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences. SAUJS. 2019;23:929–933.
MLA Kargın, Alparslan vd. “Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences”. Sakarya University Journal of Science, c. 23, sy. 5, 2019, ss. 929-33.
Vancouver Kargın A, Kişi E, Özdemir H. Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences. SAUJS. 2019;23(5):929-33.

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