The performance of Advanced Encryption Standard (AES) mainly depends on speed, area and power. The S-box represents an important factor that affects the performance of AES on each of these factors. A number of techniques have been presented in the literature, which have attempted to improve the performance of the S-box byte-substitution. This paper proposes a new S-box architecture, defining it...

Correct description of the flow and thermal information of an air supply diffuser is fatally important for a reliable prediction of room air distribution by using computational fluid dynamics. This study is to find simplified methods that can be used to describe flow and thermal information from eight commonly used diffusers. The investigation used the box and momentum methods. The correspondin...

The classical positional game Box was introduced by Chvátal and Erdős in 1978 in their study of the biased connectivity game on the complete graph. Their analysis was subsequently extended by Hamidoune and Las Vergnas. The board of the Box game consists of elements of n disjoint sets (boxes), which might vary in size. The game is played by two players, Maker and Breaker. Maker claims m board el...

In this paper we consider the problem of determining whether an unknown arithmetic circuit, for which we have oracle access, computes the identically zero polynomial. Our focus is on depth-3 circuits with a bounded top fan-in. We obtain the following results. 1. A quasi-polynomial time deterministic black-box identity testing algorithm for ΣΠΣ(k) circuits (depth-3 circuits with top fan-in equal...

The formation of bosonic bound states underlies the formation of a superfluid ground state in the many-body phase diagram of ultracold Fermi gases. We study bound-state formation in a spinand mass-imbalanced ultracold Fermi gas confined in a box with hard-wall boundary conditions. Because of the presence of finite Fermi spheres, the center-of-mass momentum of the potentially formed bound states...

This paper studies properties of the portmanteau statistic proposed by Box and Pierce [1] and its modification of Ljung and Box [2]. We show that these portmanteau statistics are feasible analogs to optimal tests for the class of statistics which are linear combinations of consistent estimates of serial correlations. We find, however, that for sample sizes commonly encountered in practice, the ...

We present the construction and implementation of an 8-bit S-box with a differential and linear branch number of 3. We show an application by designing Fly, a simple block cipher based on bitsliced evaluations of the S-box and bit rotations that targets the same platforms as Pride, and which can be seen as a variant of Present with 8-bit S-boxes. The round function of Fly achieves the same perf...

F-box proteins constitute a large gene family that regulates processes from hormone signaling to stress response. F-box proteins are the substrate recognition modules of SCF E3 ubiquitin ligases. Here we report very distinct trends in family size, duplication, synteny and transcription of F-box genes in two nitrogen-fixing legumes, Glycine max (soybean) and Medicago truncatula (alfafa). While t...

We describe the collective behaviour of a system of many inelastic spherical particles inside a box which is being periodically vibrated. The box is shallow, with large horizontal dimensions, while the height is less than two particle diameters. The vibrations are not symmetric: the time the box is moving up is, in general, different from the time it is moving down. The limit cycles of isolated...