We study the peak-to-average power ratio (PAPR) problem for two di erent kinds of communications systems, Orthogonal Frequency Division Multiplexing (OFDM) and Multi-Code Code-Division Multiple Access (MC-CDMA). We describe a common coding theoretic approach to reducing the PAPR of both kinds of transmissions. In both cases, the classical Reed-Muller codes turn out to play a critical role. Ther...

In this talk, we will look at decoding Reed-Muller codes beyond their minimum distance when the errors are random (i.e., in the binary symmetric channel). A recent beautiful result of Saptharishi, Shpilka and Volk showed that for binary Reed-Muller codes of length n and degree n O(1), one can correct polylog(n) random errors in poly(n) time (which is well beyond the worst-case error tolerance o...

Cooperative communication using relay nodes is one of the most effective means of exploiting space diversity for low cost nodes in wireless network. In cooperative communication, users, besides communicating their own information, also relay the information of other users. In this paper we investigate a scheme where cooperation is achieved using a common relay node which performs network coding...

The natural evolution of Spitz-Reed nevi is poorly understood, owing to the lack of studies investigating their longterm clinical evolution and the fact that most of the lesions are surgically excised. The surgical approach is indicated because of the clinical and histopathologic similarities with melanoma that may create diagnostic confusion in some cases. Hence nowadays, due to the low incide...

Sludge drying reed bed (SDRB) is a technology adopted to treat sludge from septic tanks, latrines, or anaerobic and aerobic reactors. The sludge is loaded by pumping on vegetated beds, and treated by a combination of physical and biochemical processes. The dewatering of the sludge is due to a combined effect of drainage and evapotranspiration. The organic matter reduction of the sludge is drive...

Abstract This paper proposes a new class of multi-dimensional nonsystematic Reed-Solomon codes that are constructed based on the multi-dimensional Fourier transform over a finite field. The proposed codes are the extension of the nonsystematic Reed-Solomon codes to multi-dimension. This paper also discusses the performance of the multidimensional nonsystematic Reed-Solomon codes.

A brief survey on low weight codewords of generalized Reed-Muller codes and projective generalized Reed-Muller codes is presented. In the affine case some information about the words that reach the second distance is given. Moreover the second weight of the projective Reed-Muller codes is estimated, namely a lower bound and an upper bound of this weight are given.

A simple analytical model of the stationary flow through the mouthpiece of a single reed music instrument is developed. Preliminary measurements of the non—stationary volume flow through an oscillating valve (as used in organ pipes) and a clarinet reed are presented. In both cases the flux induced by the reed motion is observed.