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Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Imprimir: 0040-2508
ISSN On-line: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v56.i4-5.120
16 pages

Non-Classical Diffusion Boxes Using the Golden Binary Self-Similar Sequence

Ruben Vazquez-Medina
Hector Manuel Perez-Meana
National Polytechnic Institute of Mexico
Jose Luis Del-Rio-Correa
Universidad Autonoma Metropolitana Unidad Iztapalapa Av. Purisima y Michoacan s/n Col. Vicentina, Mexico D.F., C.P. 09340


In this paper the realization of a diffusion box(D-box) is shown using the self-similar sequences, which are built through silver numbers and the Steinhardt method. In particular, this realization is based in the Golden Binary Self-Similar Sequence (GB-Sequence). The diffusion using this technique is also compared against those using the DES (Data Encryption Standard) expansion permutation (EP-DES) box and against ideal diffusion. In this comparation the autocorrelation and error function are calculated. Also the probability function to self-similar sequences is compared with those to equiprobable sequences. In this way, we want to show that the dispersion boxes using autosimilar sequences can be used in complicated encryption algorithms.

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