We exhibit an infinite class of almost perfect nonlinear quadratic binomials from F2n to F2n (n ≥ 12, n divisible by 3 but not by 9). We prove that these functions are EA-inequivalent to any power function and that they are CCZ-inequivalent to any Gold function and to any Kasami function. It means that for n even they are CCZ-inequivalent to any known APN function, and in particular for n = 12,...

− We provide a reformulation of Cocke−Younger−Kasami’s algorithm for recognizing context-free languages in which there are no references either to indices of table entries or to the length of the input string. Some top-down analogues of this functional approach are discussed as well.

We develop several tools to derive quadratic equations from algebraic S-boxes and to prove their linear independence. By applying them to all known almost perfect nonlinear (APN) power functions and the inverse function, we can estimate the resistance against algebraic attacks. As a result, we can show that APN functions have different resistance against algebraic attacks, and especially S-boxe...

This is an invited tutorial-review paper on Petri nets-a graphical and mathematical modeling tool. Petri nets are a promising tool for describing and studying information processing systems that are characterized as being concurrent, asynchronous, distributed, parallel, nondeterministic, and/or stochastic. The paper starts with a brief review of the history and the application areas considered ...

The amyloid-b 42 (Ab42) is thought to play a central role in the pathogenesis of Alzheimer’s disease (AD). However, the molecular mechanisms by which Ab42 induces neuronal dysfunction and degeneration remain elusive. Mitochondrial dysfunctions are implicated in AD brains. Whether mitochondrial dysfunctions are merely a consequence of AD pathology, or are early seminal events in AD pathogenesis ...

A waveguide whose sidewalls are replaced with densely arranged metallic posts has been proposed. This guide enables the easy realization of circuit patterns by the arrangement of metallic posts periodically in a parallel-plate waveguide or a grounded dielectric substrate. This type of waveguide is called the post-wall waveguide (PWW) (Hirokawa & Ando, 1998;Ando et al., 1998) or the substrate in...

Y. S. Lee,1,* Kouji Segawa,2 Z. Q. Li,1 W. J. Padilla,1,† M. Dumm,1,‡ S. V. Dordevic,3 C. C. Homes,3 Yoichi Ando,2 and D. N. Basov1 1Department of Physics, University of California at San Diego, La Jolla, California 92093-0319, USA 2Central Research Institute of Electric Power Industry, Komae, Tokyo 201-8511, Japan 3Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, U...