Digital Data Encryption Based on Discrete Additive Systems

Grigoras, Victor; Grigoras, Carmen

doi:10.1142/9789814271349_0017

Cited by 7 publications

(5 citation statements)

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“…The modulated emitter state equations are: Figure 1, shows that a reliable range for this coefficient is [1,3]. With this result in mind, we simulated the chaotic communication system, with the sequence in Figure 2 modulating both emitter and receiver b parameter.…”

Section: T T M T Y T X Tmentioning

confidence: 96%

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Time variant chaos encryption

Grigoras

2011

Chaos Theory

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Chaos synchronization was extensively studied the last two decades leading to several synchronization and modulation methods. The main aim of the research was to develop wide bandwidth, spread spectrum like and secure communication systems. Taking into account the high sensitivity of all synchronization and modulation methods to channel noise and parameter mismatch, digital implementations aiming at chaos encryption were preferred lately. Several authors developed, in their studies, different encryption approaches, most of them being successfully cryptanalized, due to the direct influence of the constant system parameters onto their nonlinear dynamics.The present contribution proposes a time variant approach to chaotic encryption. The proposed method is based on chaos synchronization and plaintext modulation onto the chaotic dynamics of the emitter. In order to improve communication confidentiality, one or several parameters of the emitter system are modulated with pseudo-random digital sequences, thus drastically increasing the length of the encryption key. At the decryption end, the corresponding receiver parameters are also time variant. Exact knowledge of the emitter pseudo-random digital sequence shape and timing are necessary for correct decryption of the ciphertext. It is also worth noting the importance of the modulating sequence amplitude or dynamic range due to its influence on the instantaneous value of the emitter sensitivity and, by consequence, its capacity in hiding the transmitted plaintext. Thus a parametric analysis is presented in order to find a valid parameter range for possible modulation. For the digital implementation of the proposed encryption/decryption systems, although input and output are fixed point, the internal structure of both emitter and receiver must be implemented in floating point to obtain the closest behavior with the chaotic prototype that has analog valued state variables.Both analog and discrete examples for the encryption/decryption system are analyzed. Presented simulations confirm the theoretical results and highlight the great improvement of the communication security by the proposed approach. The concluding remarks point towards some directions in further research.

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Section: T T M T Y T X Tmentioning

confidence: 96%

“…[2][3]. Due to synchronization sensitivity to channel perturbations, analog modulation is less attractive for chaos communication.…”

Section: Introductionmentioning

confidence: 99%

Time variant chaos encryption

Grigoras

2011

Chaos Theory

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“…On the long term, excess water leads to soil degradation through the formation of stagnogleic horizons, which are the product of surface water stagnation (Grigoraș et al, 2004). The genesis of stagnogleic horizons is closely related to excessive moisture and reduced aeration over a certain timeframe, leading to reduction processes and the appearance of reduced iron (Fe) and manganese (Mn) compounds with a greenish-grey colour (Grigoraș et al, 2004;Grigoraș et al, 2009). In depressions, two types of soils with stagnogleic horizons have been identified: stagnant argic phaeozems and luvic stagnosols.…”

Section: Soil Degradation and Lulc Categoriesmentioning

confidence: 99%

Spatial Correlation Between Suffosion Processes and Land Use in Sălcuța Plain (Southwestern Romania)

TĂNASE,

MITITELU-IONUȘ,

VÎLCEA

et al. 2024

RRG

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The present study aims to establish how the agricultural lands in Sălcuța Plain, a piedmont subunit of the Romanian Plain, are affected by the presence of micro-depressions on loess deposits. The formation of these micro-depressions is closely related to the chemical and mechanical compaction process, which is conditioned by several factors, including the thickness of the loess deposit, the quantity of carbonates in the deposit, local morphometry, paleogeographic evolution, and climatic conditions. Based on satellite imagery from the 2010-2019 period, 303 micro-depressions were identified. Out of the total number of depressions, 293 are located on agricultural lands, covering approximately 9.31 km2. On the surface of some of these depressions, soils with stagnant horizons (0.7 km2) have formed due to prolonged excess moisture. These types of soils gradually lead to the long-term degradation of agricultural lands. It is recommended to constantly monitor the evolution of soils with stagnant horizons and implement ameliorative agricultural measures in case an expansion of their area is observed in the long term.

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“…where a, b, c, and d 1 are real and positive constants, and f (x 1 ) models a saturated nonlinear function (SNLF) series that can be approached by a PWL function, as already shown in [23,26,47,48]. In Equation 3, the coefficients a, b, c, and d 1 must have appropriate values to estimate the quality of chaotic behavior [49,50]. For example, one can evaluate Lyapunov exponents, Kaplan-York dimension and entropy.…”

Section: Ota-based Chaotic Oscillator Using a Cmos Programmable Currementioning

confidence: 99%

“…The idea of synchronizing two identical chaotic systems from different initial conditions was introduced in the seminal work in [1]. After that, several synchronization schemes were introduced in [50,[58][59][60][61][62][63][64][65][66]. Besides, the practical applications of chaotic synchronization has some limitations to accomplish identical synchronization.…”

Section: Master-slave Synchronization Of Two Chaotic Oscillatorsmentioning

confidence: 99%

PVT-Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7-Scroll Attractors

et al. 2018

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Designing chaotic oscillators using complementary metal-oxide-semiconductor (CMOS) integrated circuit technology for generating multi-scroll attractors has been a challenge. That way, we introduce a current-mode piecewise-linear (PWL) function based on CMOS cells that allow programmable generation of 2–7-scroll chaotic attractors. The mathematical model of the chaotic oscillator designed herein has four coefficients and a PWL function, which can be varied to provide a high value of the maximum Lyapunov exponent. The coefficients are implemented electronically by designing operational transconductance amplifiers that allow programmability of their transconductances. Design simulations of the chaotic oscillator are provided for the 0.35 μ m CMOS technology. Post-layout and process–voltage–temperature (PVT) variation simulations demonstrate robustness of the multi-scroll chaotic attractors. Finally, we highlight the synchronization of two seven-scroll attractors in a master–slave topology by generalized Hamiltonian forms and observer approach. Simulation results show that the synchronized CMOS chaotic oscillators are robust to PVT variations and are suitable for chaotic secure communication applications.

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Digital Data Encryption Based on Discrete Additive Systems

Cited by 7 publications

References 0 publications

Time variant chaos encryption

Time variant chaos encryption

Spatial Correlation Between Suffosion Processes and Land Use in Sălcuța Plain (Southwestern Romania)

PVT-Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7-Scroll Attractors

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