PRNG Based on Skew Tent Map

Palacios-Luengas, Leonardo; Pichardo-Méndez, J. L.; Diaz-Mendez, Jose Alejandro; Rodríguez-Santos, Francisco; Vázquez-Medina, Rubén

doi:10.1007/s13369-018-3688-y

Cited by 34 publications

(21 citation statements)

References 37 publications

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“…In Table 4 , it can be observed that the results achieved by Tinkerbell map pass all the NPCR critical values test according to [ 88 ]. Also, it can be observed that the results obtained from NPCR have similar levels to those reported in related works [ 4 , 11 , 25 , 32 , 34 , 36 , 59 , 77 ].…”

Section: Resultssupporting

confidence: 86%

“…For purposes of comparison the entropy results to other related works that also report results using the Lena RGB image

with 8-bit RGB format. Table 2 shows that the proposed method using the Tinkerbell map [ 73 ] presents better entropy results versus most related works reported by [ 4 , 11 , 25 , 32 , 36 , 59 , 77 , 81 ], except work [ 41 ], which reports the better entropy. Thus, confirming that the high arithmetic precision helps to improve the entropy of the encrypted information.…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand, pseudo-random number generators (PRNGs) [ 4 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 ], and truly random number generators (TRNGs) [ 41 , 42 , 43 , 44 , 45 ] are important modules in the development of cryptosystems to be robust against different types of security attacks. Some of these PRNGs and TRNGs have been implemented in personal computers and in embedded systems [ 29 , 30 , 31 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ].…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the method reported by [ 73 ] is used for the encryption of information using multiple-precision arithmetic [ 83 ]. The Python programming language [ 84 ] is used to process several significant decimals higher than that reported in the works [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 16 , 17 , 18 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 ] and which are based on the IEEE 754 standard [ 54 ], typically used in computers and FPGAs. It is important to emphasize that Python is a scientific programming language [ 84 ] with the following advantages: open-source, free license, an...…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Implementing a Chaotic Cryptosystem by Performing Parallel Computing on Embedded Systems with Multiprocessors

Flores-Vergara

Inzunza-González²,

García-Guerrero³

et al. 2019

Entropy

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Profiling and parallel computing techniques in a cluster of six embedded systems with multiprocessors are introduced herein to implement a chaotic cryptosystem for digital color images. The proposed encryption method is based on stream encryption using a pseudo-random number generator with high-precision arithmetic and data processing in parallel with collective communication. The profiling and parallel computing techniques allow discovery of the optimal number of processors that are necessary to improve the efficiency of the cryptosystem. That is, the processing speed improves the time for generating chaotic sequences and execution of the encryption algorithm. In addition, the high numerical precision reduces the digital degradation in a chaotic system and increases the security levels of the cryptosystem. The security analysis confirms that the proposed cryptosystem is secure and robust against different attacks that have been widely reported in the literature. Accordingly, we highlight that the proposed encryption method is potentially feasible to be implemented in practical applications, such as modern telecommunication devices employing multiprocessors, e.g., smart phones, tablets, and in any embedded system with multi-core hardware.

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Section: Resultssupporting

confidence: 86%

“…For purposes of comparison the entropy results to other related works that also report results using the Lena RGB image

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Implementing a Chaotic Cryptosystem by Performing Parallel Computing on Embedded Systems with Multiprocessors

Flores-Vergara

Inzunza-González²,

García-Guerrero³

et al. 2019

Entropy

View full text Add to dashboard Cite

show abstract

“…Among the possible maps, most of the recently proposed algorithms are based on logistic maps [8][9][10][11], but other maps such as the Rényi map [12], the Lorenz's attractor [13], the skew tent map [14], or higher-dimensional chaotic systems have been used [15]. Unfortunately, in most of these maps there are some initial values for which the output sequences are periodic and therefore unsuitable for being used to generate secure keystreams.…”

Section: Introductionmentioning

confidence: 99%

A 1 Gbps Chaos-Based Stream Cipher Implemented in 0.18 μm CMOS Technology

et al. 2019

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In this work, a novel chaos-based stream cipher based on a skew tent map is proposed and implemented in a 0.18 μm CMOS (Complementary Metal-Oxide-Semiconductor) technology. The proposed ciphering algorithm uses a linear feedback shift register that perturbs the orbits generated by the skew tent map after each iteration. This way, the randomness of the generated sequences is considerably improved. The implemented stream cipher was capable of achieving encryption speeds of 1 Gbps by using an approximate area of ~ 20 , 000 2-NAND equivalent gates, with a power consumption of 24.1 mW. To test the security of the proposed cipher, the generated keystreams were subjected to National Institute of Standards and Technology (NIST) randomness tests, proving that they were undistinguishable from truly random sequences. Finally, other security aspects such as the key sensitivity, key space size, and security against reconstruction attacks were studied, proving that the stream cipher is secure.

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