partial linearization
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Author(s):  
Le He ◽  
Xiaoen Lin ◽  
Hongbo Yu

This paper provides an improved preimage attack method on standard 4-round Keccak-224/256. The method is based on the work pioneered by Li and Sun, who design a linear structure of 2-round Keccak-224/256 with 194 degrees of freedom left. By partially linearizing 17 output bits through the last 2 rounds, they finally reach a complexity of 2207/2239 for searching a 4-round preimage. Yet under their strategy, those 17 bits are regarded as independent bits and the linearization costs a great amount of freedom. Inspired by their thoughts, we improve the partial linearization method where multiple output bits can reuse some common degrees of freedom. As a result, the complexity of preimage attack on 4-round Keccak-224/256 can be decreased to 2192/2218, which are both the best known theoretical preimage cryptanalysis so far. To support the theoretical analysis, we apply our strategy to a 64-bit partial preimage attack within practical complexity. It is remarkable that this partial linearization method can be directly applied if a better linear structure with more freedom left is proposed.


2020 ◽  
Vol 77 (3) ◽  
pp. 711-728
Author(s):  
Masao Fukushima ◽  
Joaquim Júdice ◽  
Welington de Oliveira ◽  
Valentina Sessa

2020 ◽  
Vol 24 (3 Part B) ◽  
pp. 2256-2266
Author(s):  
Momcilo Spasojevic ◽  
Milovan Jankovic ◽  
Damir Djakovic

This work presents a procedure for direct numerical minimization of entropy production in a diabatic tray column with heat exchanged on the trays as control variables, as opposed to previously used procedures with temperature on the trays as control variables. The procedure, which had previously been demonstrated on a binary mixture, was in this work applied to a multicomponent mixture, with minor modifications. The procedure comprised the complex optimization method and the Ishii-Otto method for solving the equations of a column model based on the iterative Newton-Raphson technique with partial linearization of the equations. The desired separation of the components was realized by the addition of a penalty function to the goal function, i.e. entropy production in the column. The required thermodynamic characteristics were calculated by the Soave equation of state. As an illustration, an industrial debutanizer with five components was used whose data, obtained by simulation, were compared with the optimization results of a diabatic column with the same desired separation and number of trays. After the diabatic column optimization procedure, the value of 91.91 J/Ks was obtained as the best result for entropy production. According to the best solution, entropy production in the diabatic column was 23.2% lower than in the adiabatic column. The heat to be removed from the column increased by 24.7%, while the heat to be added to the column increased by 28.8%.


2018 ◽  
Vol 8 (12) ◽  
pp. 2558 ◽  
Author(s):  
Bin Gao ◽  
Shaozhang Xiao ◽  
Li Zhao ◽  
Xian Liu ◽  
Kegang Pan

The compressive deconvolution (CD) problem represents a class of efficient models that is appealing in high-resolution ultrasound image reconstruction. In this paper, we focus on designing an improved CD method based on the framework of a strictly contractive Peaceman–Rechford splitting method (sc-PRSM). By fully excavating the special structure of ultrasound image reconstruction, the improved CD method is easier to implement by partially linearizing the quadratic term of subproblems in the CD problem. The resulting subproblems can obtain closed-form solutions. The convergence of the improved CD method with partial linearization is guaranteed by employing a customized relaxation factor. We establish the global convergence for the new method. The performance of the method is verified via several experiments implemented in realistic synthetic data and in vivo ultrasound images.


2018 ◽  
Vol 10 (6) ◽  
pp. 168781401878128 ◽  
Author(s):  
Aleksander Yevtushenko ◽  
Michal Kuciej ◽  
Ewa Och

An analytical–numerical nonlinear model to investigate temperature fields and thermal stresses in a pad and a disk for a single braking with a constant deceleration has been proposed. For this purpose, the boundary-value heat conduction problem for a tribosystem strip–semi-space has been formulated, which takes into account the temperature dependence of the thermophysical properties of materials. The solution to this problem has been obtained by a partial linearization through the Kirchhoff substitution, and next with a subsequent use of the method of linearizing parameters. Knowing the distribution of temperature fields in the elements of a friction pair, the thermal stresses have been established within the theory of thermal bending of plates. In this case, the temperature dependence of the Young’s modulus, Poisson’s ratio, and linear thermal expansion of the pad and disk materials have been additionally taken into account. The numerical analysis has been performed for a friction pair consisting of a titanium alloy pad and a steel disk.


Author(s):  
José J Corona-Sánchez ◽  
Óscar Roberto Guzmán Caso ◽  
H Rodríguez-Cortés

This paper describes the design of a controller for a fixed-wing aircraft to make it perform coordinated turns. First, a state feedback partial linearization controller drives the airplane to carry out an ideal coordinated turn. A second control loop, inspired by the total heading control system technique, mixes the ailerons and rudder inputs to perform a coordinated turn considering the sideslip dynamics. The control design development gives new insights to establish the fundamental basis for the total heading control system. Simulations in an advanced flight simulator (X-Plane 10) are presented to show the closed-loop system behavior.


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