Almost Perfect Nonlinear functions

We investigate some open problems on Almost Perfect Nonlinear (APN) functions over a finite field of characteristic $2$. We provide new characterizations of APN functions and of APN permutations by means of their component functions. We generalize some results of Nyberg (1994) and strengthen a conjecture on the upper bound of nonlinearity of APN functions. We also focus on the case of quadratic functions. We contribute to the current works on APN quadratic functions, by proving that a large class of quadratic functions cannot be APN

The EHA Research Roadmap : Malignant Lymphoid Diseases

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Potential cellular and biochemical mechanisms of exercise and physical activity on the ageing process

Exercise in young adults has been consistently shown to improve various aspects of physiological and psychological health but we are now realising the potential benefits of exercise with advancing age. Specifically, exercise improves cardiovascular, musculoskeletal, and metabolic health through reductions in oxidative stress, chronic low-grade inflammation and modulating cellular processes within a variety of tissues. In this this chapter we will discuss the effects of acute and chronic exercise on these processes and conditions in an ageing population, and how physical activity affects our vasculature, skeletal muscle function, our immune system, and cardiometabolic risk in older adults

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Scénarios globaux à l'horizon 2000 : analyse morphologique et probabilisation

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Entreprises et développement durable : prospective stratégique des enjeux environnementaux

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On Almost Perfect Nonlinear mappings

International audienc