article · Malaysian Journal of Computing and Applied Mathematics · 2019

Production of a Super-Increasing Sequence based on the Fibonaci Sequence

Assia Merzoug, Adda Ali‐Pacha, Naïma Hadj-Said, Hana Ali-Pacha

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Abstract

One shows that we can build a long recurring sequence super-increasing and use it in the cryptographic system based on the Knapsack problem, for example the Merkle-Hellman cipher. Thus, we reduce the size of the key with the same system safety. For this, we have modified the generalized Fibonacci sequence to produce of a super-increasing sequence. This modification was based essentially on the use of real coefficients in the main recursive equation. The result of this, it is the transformation of the public key of the Merkle-Hellman crypto system into a secret algorithm and, for an equivalent complexity.

Cite this paper

APA 7

Merzoug, A., Ali‐Pacha, A., Hadj-Said, N., & Ali-Pacha, H. (2019). Production of a Super-Increasing Sequence based on the Fibonaci Sequence. Malaysian Journal of Computing and Applied Mathematics, 2(1), 16–24. https://doi.org/10.37231/myjcam.2019.2.1.25

MLA 9

Merzoug, Assia, et al. “Production of a Super-Increasing Sequence based on the Fibonaci Sequence.” Malaysian Journal of Computing and Applied Mathematics, vol. 2, no. 1, 2019, pp. 16–24, https://doi.org/10.37231/myjcam.2019.2.1.25.

Chicago

Merzoug, Assia, Adda Ali‐Pacha, Naïma Hadj-Said, and Hana Ali-Pacha. 2019. “Production of a Super-Increasing Sequence based on the Fibonaci Sequence.” Malaysian Journal of Computing and Applied Mathematics 2 (1): 16–24. https://doi.org/10.37231/myjcam.2019.2.1.25.

Harvard

Merzoug, A. et al. (2019) ‘Production of a Super-Increasing Sequence based on the Fibonaci Sequence’, Malaysian Journal of Computing and Applied Mathematics, 2(1), pp. 16–24. Available at: https://doi.org/10.37231/myjcam.2019.2.1.25.

BibTeX

@article{merzoug2019production,
  title = {{Production of a Super-Increasing Sequence based on the Fibonaci Sequence}},
  author = {Merzoug, Assia and Ali‐Pacha, Adda and Hadj-Said, Naïma and Ali-Pacha, Hana},
  journal = {Malaysian Journal of Computing and Applied Mathematics},
  volume = {2},
  number = {1},
  pages = {16--24},
  year = {2019},
  doi = {10.37231/myjcam.2019.2.1.25}
}

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