In this correspondence, it is given a correction to Theorem 4 in Y. Hu, and G. Xiao, “Generalized Self-Shrinking Generator,” IEEE Transactions on Information Theory, vol. 50, No. 4, pp. 714-719, April 2004.

In 2004, Y. Hu and G. Xiao introduced the generalized self-shrinking generator, a simple bit-stream generator considered as a specialization of the shrinking generator as well as a generalization of the self-shrinking generator. The authors conjectured that the family of generalized self-shrinking sequences took their least periods in the set {1, 2, 2}, where L is the length of the Linear Feedb...

The need of software-flexible stream ciphers has led to several alternative proposals in the last few years. One of them is a new Pseudo Random Number Generator (PRNG), named N-adic Summation-Shrinking (NSumSG), which architecture is described in this paper. It uses N-1 parallel working slave summation generators and one N-adic summation generator, controlling the nonlinearity in the generator....

The problem of steady Magnetohydrodynamic boundary layer flow of an electrically conducting nanofluid due to an exponentially permeable stretching sheet with heat source/sink in presence of thermal radiation is numerically investigated. The effect of transverse Brownian motion and thermophoresis on heat transfer and nano particle volume fraction considered. The governing partial differential eq...

The fine structure of Azotobacter vinelandii has been studied by means of electron microscopy of ultrathin sections made of the encysting and germinating cells. The organisms were fixed with KMnO(4) and embedded in epoxy resin. On an encystment medium the rod-shaped bacteria begin to assume an almost spherical form and then bark-like exine appears in 1(1/2) to 2 days. The exine thickens and an ...

This work shows that the cryptanalysis of the shrinking generator requires fewer intercepted bits than that indicated by the linear complexity. Indeed, whereas the linear complexity of shrunken sequences is between A·2(S−2) and A·2(S−1), we claim that the initial states of both component registers are easily computed with less than A · S shrunken bits. Such a result is proven thanks to the defi...

The shrinking generator is a keystream generator which is good for stream ciphers in wireless mobile communications, because it has simple structure and generates a keystream faster than other generators. Nevertheless, it has a serious disadvantage that its keystream is not balanced if they use primitive polynomials as their feedback polynomials. In this paper, we present a method to construct ...

In this paper, the differential transform method and Padé approximation (DTM-Padé) is applied to obtain the approximate analytical solutions of the MHD flow and heat transfer of a nanofluid over a nonlinearly stretching permeable sheet in porous. The similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations...