Stream ciphers are widely used for online-encryption of arbitrarily long data, for example when transmitting speech-data between a mobile phone and a base station. An important class of stream ciphers are combiners with memory, with the E0 generator from the Bluetooth standard for wireless communication being their most prominent example. In this paper, we develop design principles for increasi...

Stream ciphers are widely used for online-encryption of arbitrarily long data. An important class of stream ciphers are combiners with memory, with the E0 generator from the Bluetooth standard for wireless communication [2] being their most prominent example. E0 consists of 4 driving devices, a finite state machine (FSM) C with a 4 bit state, an output function f and a memory update function δ....

We show that any symmetric, Baire measurable function from the complement of E0 to a finite set is constant on an E0-nonsmooth square. A simultaneous generalization of Galvin’s theorem that Baire measurable colorings admit perfect homogeneous sets and the Kanovei-Zapletal theorem canonizing Borel equivalence relations on E0-nonsmooth sets, this result is proved by relating E0-nonsmooth sets to ...

In Binary Threshold Public Good (BTPG) games, n players have binary choices: cooperation or non-cooperation. If at least k cooperate, a public good is produced. The case = the Stag Hunt game with two pure strategy equilibria E1 (all cooperate) and E0 (no player cooperates). four rather diverse examples of four-player three prominent concepts equilibrium selection favor E0. Experiments, however,...

In this paper we study the security of Bluetooth stream cipher E0 from viewpoint it is a “difference cipher”, that is, defined by system explicit difference equations over finite field GF(2). This approach highlights some issues encryption such as invertibility its state transition map, special set 14 bits 132-bit which when guessed implies linear among other and finally small number spurious k...

Giant resonances in 116Sn were measured by inelastic scattering of 6Li ions at E6Li = 240 MeV over the angle range 0◦–6◦. Isoscalar E0–E3 strength distributions were obtained with a double folding model analysis. A total of 106+27 −11% of the E0 EWSR was found in the excitation energy range from 8 MeV to 30 MeV with a centroid (m1/m0) energy 15.39 +0.35 −0.20 MeV in agreement with results obtai...

BACKGROUND Internal tibial torsion (ITT) is a common boney deformity in children with cerebral palsy (CP). The current recommended treatment is tibial derotation osteotomy (TDO) to improve gait biomechanics. Satisfactory short-term results after TDO have been reported but long-term results have not been studied. The purpose of this study was to evaluate the long-term outcome after external TDO ...

Abstract Let γ be a smooth closed curve of length 2π in R3, and let κ(s) be its curvature, regarded as a function of arc length. We associate with this curve the one-dimensional Schrödinger operator Hγ = − d 2 ds + κ 2(s) acting on the space of square integrable 2π-periodic functions. A natural conjecture is that the lowest spectral value e0(γ) of Hγ is bounded below by 1 for any γ (this value ...