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Table Il: Walsh-Hadamard transform of a bent quaternary function with two inputs. see Section V-A). The nonlinearity of a function F under the Lee distance equals:

Table 1 Il: Walsh-Hadamard transform of a bent quaternary function with two inputs. see Section V-A). The nonlinearity of a function F under the Lee distance equals:

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Table III: Genetic programming functions. which combines the first part of one parent and the second part of the other parent into a single child. We also use a two- point variant which takes two parts from one and one part from the other parent. For both single-point and two-point crossover operators, crossover points are randomly chosen. Finally, we use the averaging crossover, which constructs each gene in the child by using the average value of the corresponding genes from both parents. The choice of the crossover operator is made randomly each time a crossover is performed.
Table III: Genetic programming functions. which combines the first part of one parent and the second part of the other parent into a single child. We also use a two- point variant which takes two parts from one and one part from the other parent. For both single-point and two-point crossover operators, crossover points are randomly chosen. Finally, we use the averaging crossover, which constructs each gene in the child by using the average value of the corresponding genes from both parents. The choice of the crossover operator is made randomly each time a crossover is performed.
Table V: GA results under integer representation, fitness).
Table V: GA results under integer representation, fitness).
Table IV: Search space sizes and the maximal nonlinearity values.
Table IV: Search space sizes and the maximal nonlinearity values.
Figure 1: Average number of bent functions over all function Sizes.
Figure 1: Average number of bent functions over all function Sizes.
Table VI: GP results with tree representation, tree depth 4, fitness). Table VII: GA results with integer representation, fitness.
Table VI: GP results with tree representation, tree depth 4, fitness). Table VII: GA results with integer representation, fitness.
Table VIII: GP results with tree representation, tree depth 8, fitness.
Table VIII: GP results with tree representation, tree depth 8, fitness.
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