Abstract. Grøstl is one of the five finalists in the third round of SHA-3 competition hosted by NIST. In this paper, we use many techniques to improve the pseudo preimage attack on Grøstl hash function, such as subspace preimage attack and guess-and-determine technique. We present improved pseudo preimage attacks on 5-round Grøstl-256 and 8-round Grøstl-512 respectively. The complexity of the a...

We present an efficient scheme to calculate the chiroptical response of molecular systems within time dependent density functional theory using either a real-time propagation or a frequency-dependent Sternheimer method. The scheme avoids the commonly used sum over empty orbitals and has a very favorable scaling with system size. Moreover, the method is general and can be easily implemented. In ...

In this paper we exploit a model of a single TCP source introduced in [1] to show the dependence of the scaling properties of the TCP throughput on the correlation structure of the Round Trip Times (RTTs) and of the packet losses. The source works according to the most common TCP mechanisms, i.e. slow-start, congestion avoidance and exponential back-off retransmission timer. The innovation of t...

We investigate the scaling relations between the supermassive black holes (SMBHs) mass (Mbh) and the host bulge mass in elliptical galaxies, classical bulges, and pseudo-bulges. We use two-dimensional image analysis software BUDDA to obtain the structural parameters of 57 galaxies with dynamical Mbh measurement, and determine the bulge K-band luminosities (Lbul,K), stellar masses (Ms), and dyna...

In this paper, we consider the equilibrium problem for a pseudo-monotone function. For solving this problem, a hybrid ergodic-splitting method is proposed. We decompose the equilibrium function into two functions and then solve auxiliary problems for each decomposition function separately. Under pseudo-monotonicity of the equilibrium function and some additional assumptions, we prove that the s...

We consider the mathematical properties of the generating and partition functions in the two variable scaling region about the tricritical point in some models of polymer collapse. We concentrate on models that have a similar behaviour to that of interacting partially-directed self-avoiding walks (IPDSAW) in two dimensions. However, we do not restrict the discussion to that model. After describ...

Weakly-Supervised Semantic Segmentation (WSSS) segments objects without heavy burden of dense annotation. While as a price, generated pseudo-masks exist obvious noisy pixels, which result in sub-optimal segmentation models trained over these pseudo-masks. But rare studies notice or work on this problem, even pixels are inevitable after their improvements pseudo-mask. So we try to improve WSSS t...

We perform direct 3-dimensional numerical simulations for magnetohydrodynamic (MHD) turbulence in a periodic box of size 2π threaded by strong uniform magnetic fields. We use a pseudo-spectral code with hyperviscosity and hyperdiffusivity to solve the incompressible MHD equations. We analyze the structure of the eddies as a function of scale. A straightforward calculation of anisotropy in wavev...