Sober-t32 is a candidate stream cipher in the NESSIE competition. Some new attacks are presented in this paper. A Guess and Determine attack is mounted against Sober-t32 without the decimation of the key stream by the so-called stuttering phase. Also, two distinguishing attacks are mounted against full Sober-t32. These attacks are not practically feasible, but they are theoretically more effici...

• A uniform approach to d -spaces, sober spaces and well-filtered is provided. The theory of (super) H-sober established. If H has property M, then the function space super equipped with topology pointwise convergence H-sober. a T 0 X iff its Smyth power P S ( ) category all reflective in Top . if M. In this paper, we provide spaces, develop general framework for dealing these spaces. concepts ...

In [4], Erné relaxed the concept of sobriety in order to extend theory sober spaces and locally hypercompact situations where directed joins were missing, introduced discussed three kinds non-sober spaces: cut spaces, weakly quasisober spaces. [24], other namely DC space, RD space WD investigated. All these six classes are strictly larger than that this paper, it is shown category all not refle...

We study here $T_{0}$-$Q$-bitopological spaces and sober $Q$-bitopological spaces and their relationship with two particular Sierpinski objects in the category of $Q$-bitopological spaces. The epireflective hulls of both these Sierpinski objects in the category of $Q$-bitopological spaces turn out to be the category of $T_0$-$Q$-bitopological spaces. We show that only one of these Sierpinski ob...

In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:

This paper presents algebraic attacks on SOBER-t32 and SOBER-t16 without stuttering. For unstuttered SOBER-t32, two different attacks are implemented. In the first attack, we obtain multivariate equations of degree 10. Then, an algebraic attack is developed using a collection of output bits whose relation to the initial state of the LFSR can be described by low-degree equations. The resulting s...

Sober (1984) presents an account of selection motivated by the view that one property can causally explain the occurrence of another only if the first plays a unique role in the causal production of the second. Sober holds that a causal property will play such a unique role if it is a population level cause of its effect, and on this basis argues that there is selection for a trait T only if T ...