The Experts below are selected from a list of 3205293 Experts worldwide ranked by ideXlab platform
Konstantinos Limniotis - One of the best experts on this subject based on the ideXlab platform.
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Maiorana-McFarland Functions with High Second-Order Nonlinearity.
IACR Cryptology ePrint Archive, 2020Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second–order Nonlinearity, and the best quadratic approximations, of Boolean functions are studied in this paper. We prove that cubic functions within the Maiorana–McFarland class achieve very high second order Nonlinearity, which is close to an upper bound that was recently proved by Carlet et al., and much higher than the second order Nonlinearity obtained by other known constructions. The structure of the cubic Boolean functions considered allows the efficient computation of (a subset of) their best quadratic approximations.
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ISITA - On the second-order Nonlinearity of cubic Maiorana-McFarland Boolean functions
2012Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second-order Nonlinearity, as well as the best quadratic approximations, of Boolean functions are studied in this paper. More precisely, we prove that cubic functions within the Maiorana-McFarland class achieve very high second-order Nonlinearity, which is higher than the second-order Nonlinearity obtained by other known constructions. Moreover, a subset of their best quadratic approximations is efficiently computed.
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On the second-order Nonlinearity of cubic Maiorana-McFarland Boolean functions
2012 International Symposium on Information Theory and its Applications, 2012Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second-order Nonlinearity, as well as the best quadratic approximations, of Boolean functions are studied in this paper. More precisely, we prove that cubic functions within the Maiorana-McFarland class achieve very high second-order Nonlinearity, which is higher than the second-order Nonlinearity obtained by other known constructions. Moreover, a subset of their best quadratic approximations is efficiently computed.
Nicholas Kolokotronis - One of the best experts on this subject based on the ideXlab platform.
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Maiorana-McFarland Functions with High Second-Order Nonlinearity.
IACR Cryptology ePrint Archive, 2020Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second–order Nonlinearity, and the best quadratic approximations, of Boolean functions are studied in this paper. We prove that cubic functions within the Maiorana–McFarland class achieve very high second order Nonlinearity, which is close to an upper bound that was recently proved by Carlet et al., and much higher than the second order Nonlinearity obtained by other known constructions. The structure of the cubic Boolean functions considered allows the efficient computation of (a subset of) their best quadratic approximations.
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ISITA - On the second-order Nonlinearity of cubic Maiorana-McFarland Boolean functions
2012Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second-order Nonlinearity, as well as the best quadratic approximations, of Boolean functions are studied in this paper. More precisely, we prove that cubic functions within the Maiorana-McFarland class achieve very high second-order Nonlinearity, which is higher than the second-order Nonlinearity obtained by other known constructions. Moreover, a subset of their best quadratic approximations is efficiently computed.
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On the second-order Nonlinearity of cubic Maiorana-McFarland Boolean functions
2012 International Symposium on Information Theory and its Applications, 2012Co-Authors: Nicholas Kolokotronis, Konstantinos LimniotisAbstract:The second-order Nonlinearity, as well as the best quadratic approximations, of Boolean functions are studied in this paper. More precisely, we prove that cubic functions within the Maiorana-McFarland class achieve very high second-order Nonlinearity, which is higher than the second-order Nonlinearity obtained by other known constructions. Moreover, a subset of their best quadratic approximations is efficiently computed.
Wilfried Idler - One of the best experts on this subject based on the ideXlab platform.
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Influence of fiber Nonlinearity on the fiber transfer function: theoretical and experimental analysis
Journal of Lightwave Technology, 1999Co-Authors: Adolfo V. T. Cartaxo, Brian Wedding, Wilfried IdlerAbstract:The influence of fiber Nonlinearity on the fiber transfer function is investigated theoretically and experimentally. A rigorous expression for the fiber transfer function using a directly modulated semiconductor laser as an optical transmitter is presented. Very good agreement of fiber transfer function between experimental data and theoretical predictions is achieved. Furthermore, the fiber parameter values extracted from fitting are the same as those obtained from relative intensity noise measurements, and the fiber Nonlinearity coefficient value is compared with other published results. A thorough physical explanation for the effect of fiber Nonlinearity on the fiber transfer function at low-medium frequencies is provided. Results reveal that in the anomalous dispersion regime the fiber Nonlinearity enhances the high-pass behavior typical of the fiber transfer function using a directly modulated laser operating at high bias current, shifts the transfer function dips toward higher frequency, and consequently leads to a larger bandwidth. Furthermore, it is shown that the fiber Nonlinearity can provide partial or total compensation of the nonuniform frequency response at low-medium frequencies resulting from a directly modulated laser operated at low bias current.
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New measurement technique of Nonlinearity coefficient of optical fibre using fibre transfer function
24th European Conference on Optical Communication. ECOC '98 (IEEE Cat. No.98TH8398), 1998Co-Authors: Adolfo V. T. Cartaxo, Brian Wedding, Wilfried IdlerAbstract:We present a novel measurement technique of Nonlinearity coefficient of optical fibre, the Nonlinearity coefficient is evaluated by fitting of a new fibre transfer function which takes into account the fibre dispersion and Nonlinearity. We present a novel measurement technique of the Nonlinearity coefficient of optical fibre using the fibre transfer function. A new fibre transfer function which takes into account the group velocity dispersion (GVD), Nonlinearity and loss of optical fibre is used to obtain the fibre Nonlinearity coefficient by fitting to experimental data.
Deng Tang - One of the best experts on this subject based on the ideXlab platform.
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IWSDA - A lower bound on the second-order Nonlinearity of the class of Maiorana-McFarland bent functions
2017 Eighth International Workshop on Signal Design and Its Applications in Communications (IWSDA), 2017Co-Authors: Deng TangAbstract:Boolean functions used in stream ciphers and block ciphers should have high second-order Nonlinearity to resist several known attacks and some potential attacks which may exist but are not yet efficient and might be improved in the future. The second-order Nonlinearity of Boolean functions also play an important role in coding theory, since its maximal value equals the covering radius of the second-order Reed-Muller code. But it is a extremely hard task to calculate and even to bound the second-order Nonlinearity of Boolean functions. In this paper, we present a lower bound on the second-order Nonlinearity of the class of Maiorana-McFarland (M-M) bent functions. As applications of our bound, we provide simpler and direct proofs for two known lower bounds on the second-order Nonlinearity of functions in the class of M-M bent functions. We also derive a lower bound on the second-order Nonlinearity of the functions which were conjectured bent by Canteaut and whose bentness was proved by Leander, by further employing our bound.
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A lower bound on the second-order Nonlinearity of the class of Maiorana-McFarland bent functions
2017 Eighth International Workshop on Signal Design and Its Applications in Communications (IWSDA), 2017Co-Authors: Deng TangAbstract:Boolean functions used in stream ciphers and block ciphers should have high second-order Nonlinearity to resist several known attacks and some potential attacks which may exist but are not yet efficient and might be improved in the future. The second-order Nonlinearity of Boolean functions also play an important role in coding theory, since its maximal value equals the covering radius of the second-order Reed-Muller code. But it is a extremely hard task to calculate and even to bound the second-order Nonlinearity of Boolean functions. In this paper, we present a lower bound on the second-order Nonlinearity of the class of Maiorana-McFarland (M-M) bent functions. As applications of our bound, we provide simpler and direct proofs for two known lower bounds on the second-order Nonlinearity of functions in the class of M-M bent functions. We also derive a lower bound on the second-order Nonlinearity of the functions which were conjectured bent by Canteaut and whose bentness was proved by Leander, by further employing our bound.
Yangquan Chen - One of the best experts on this subject based on the ideXlab platform.
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Wiener System Identification with Four-Segment and Analytically Invertible Nonlinearity Model
2007 American Control Conference, 2007Co-Authors: Yashodhan Tarte, Yangquan ChenAbstract:This paper focuses on modeling and parameter identification of Wiener systems with the ultimate aim of compensating for the Nonlinearity in those systems. Four-segment polynomial approximations are investigated for the nonlinear part of the Wiener systems and are shown to perform better than global and two-segment approximations. A special type of polynomial expression is also proposed that makes the analytical inverse of the Nonlinearity possible. The idea behind finding inverse of the Nonlinearity is to compensate for the Nonlinearity introduced into the closed loop systems because of nonlinear sensors.
