We use the generating function approach to derive simple expressions for factorial moments of distance distribution over Reed-Solomon codes. obtain better upper bounds error term a counting formula given by Li and Wan, which gives nontrivial estimates on number polynomials finite fields with prescribed leading coefficients linear factors. This improvement leads new results classification deep h...

The optical phase shifter that constantly rotates the local oscillator is a necessity in continuous-variable quantum key distribution systems with heterodyne detection. In previous experimental implementations, generally regarded as an ideal passive device perfectly of electromagnetic wave $90^\circ$. However, practice introduces imperfections, mainly measurement angular error, which inevitably...

In some long term studies, a series of dependent and possibly truncated lifetime data may be observed. Suppose that the lifetimes have a common continuous distribution function F. A popular stochastic measure of the distance between the density function f of the lifetimes and its kernel estimate fn is the integrated square error (ISE). In this paper, we derive a central limit theorem for t...

in methods presented to calculate the voltage collapse point, the transmission system is usually the only part of the power system that is completely modeled. distribution systems are often replaced by aggregate load models because the use of the detailed model of distribution systems in voltage stability analysis not only increases the computation time, but also decreases the probability of co...

This paper applies error exponent analysis the derivation of the distribution of error events in a convolutional code at the output of a Viterbi decoder. Even if the mean error behaviour of convolutional codes is a well known topic, however a precise analysis of the error events at the output of Viterbi decder is still lacking. The classical approach to derivation of the error events distributi...