Chaotical PRNG based on composition of logistic and tent maps using deep-zoom. ALVARENGA, João Pedro do Valle; MACHICAO, Jeaneth; BRUNO, Odemir Martinez.
Abstract: We propose the deep-zoom analysis of the composition of the logistic map and the tent map, which are wellknown discrete one-dimensional chaotic maps. The deep-zoom technique transforms each point of a given chaotic orbit by removing the first k-digits after decimal separator.We found that the pseudo-randomqualities of the composition map as a pseudo-randomnumber generator (PRNG) improve as the k parameter increases. Thiswas evidenced by the fact that it successfully passed the randomness tests and even outperformed the k-logistic map and the k-tent map PRNG. These dynamic properties showthat the application of deep-zoomto the composition of chaotic maps, at least to these twowell-known maps, is suitable for better randomization for PRNG purposes as well as for cryptographic systems.
Chaos, Solitons and Fractals
v. 161, p. 112296-1-112296-10 - Ano: 2022
Fator de Impacto: 9,922
@article={003084145,author = {ALVARENGA, João Pedro do Valle; MACHICAO, Jeaneth; BRUNO, Odemir Martinez.},title={Chaotical PRNG based on composition of logistic and tent maps using deep-zoom},journal={Chaos, Solitons and Fractals},note={v. 161, p. 112296-1-112296-10},year={2022}}
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Abstract: We propose the deep-zoom analysis of the composition of the logistic map and the tent map, which are wellknown discrete one-dimensional chaotic maps. The deep-zoom technique transforms each point of a given chaotic orbit by removing the first k-digits after decimal separator.We found that the pseudo-randomqualities of the composition map as a pseudo-randomnumber generator (PRNG) improve as the k parameter increases. Thiswas evidenced by the fact that it successfully passed the randomness tests and even outperformed the k-logistic map and the k-tent map PRNG. These dynamic properties showthat the application of deep-zoomto the composition of chaotic maps, at least to these twowell-known maps, is suitable for better randomization for PRNG purposes as well as for cryptographic systems.
@article={003084145,author = {ALVARENGA, João Pedro do Valle; MACHICAO, Jeaneth; BRUNO, Odemir Martinez.},title={Chaotical PRNG based on composition of logistic and tent maps using deep-zoom},journal={Chaos, Solitons and Fractals},note={v. 161, p. 112296-1-112296-10},year={2022}}