The original S-boxes and algorithms of DES are designed to resist differential attack[11]. We propose eight more new S-boxes with the same cryptographic properties as S-boxes in DES. These 16 S-boxes are used to construct the extended DES, which is double the size of the original DES. The differential and linear cryptanalyses of the extended DES are given. The complexities of the two attacks ar...

There are two fair ways to distribute particles in boxes. The first way is to divide the particles equally between the boxes. The second way, which is calculated here, is to score fairly the particles between the boxes. The obtained power law distribution function yields an uneven distribution of particles in boxes. It is shown that the obtained distribution fits well to sociological phenomena,...

We investigate common developments that can fold into plural incongruent orthogonal boxes. It was shown that there are infinitely many orthogonal polygons that fold into two incongruent orthogonal boxes in 2008. In 2011, it was shown that there exists an orthogonal polygon that folds into three boxes of size 1 × 1 × 5, 1 × 2 × 3, and 0×1×11. It remained open whether there exists an orthogonal p...

The authors tested whether smokers would use cigarette pack covers illustrated with antismoking messages. In 2001, visitors to a smoking cessation Web site ordered cigarette pack covers and answered a follow-up questionnaire 52 days later. Participants received by mail cardboard boxes designed to contain cigarette packs and illustrated with antismoking messages. Participants were 393 smokers li...

We investigate the problem of finding common developments that fold to plural incongruent orthogonal boxes. It was shown that there are infinitely many orthogonal polygons that fold to two incongruent orthogonal boxes in 2008. In this paper, we first show that there is an orthogonal polygon that fold to three boxes of size 1×1×5, 1 × 2 × 3, and 0 × 1 × 11. Although we have to admit a box to hav...

When studying the DPA resistance of S-boxes, the research community is divided in their opinions on what properties should be considered. So far, there exist only a few properties that aim at expressing the resilience of S-boxes to side-channel attacks. Recently, the confusion coefficient property was defined with the intention to characterize the resistance of an S-box. However, there exist no...

Substitution Boxes (S-Boxes) play an important role in many modern-day cryptographic algorithms, more commonly known as ciphers. Without carefully chosen S-Boxes, such ciphers would be easier to break. Therefore, it is not surprising that the design of suitable S-Boxes attracts a lot of attention in the cryptography community. The evolutionary computation (EC) community also had several attempt...