In this paper, we present a new soft-decision decoding algorithm for Reed-Muller codes. It is based on the GMC decoding algorithm proposed by Schnabl and Bossert [1] which interprets Reed-Muller codes as generalized multiple concatenated codes. We extend the GMC algorithm to list-decoding (L-GMC). As a result, a SDML decoding algorithm for the first order Reed-Muller codes is obtained. Moreover...

Deep holes play an important role in the decoding of generalized Reed-Solomon codes. Recently, Wu and Hong [11] found a new class of deep holes for standard Reed-Solomon codes. In the present paper, we give a concise method to obtain a new class of deep holes for generalized Reed-Solomon codes. In particular, for standard Reed-Solomon codes, we get the new class of deep holes given in [11]. Li ...

27 r Ostendorp, W. and Möller, J., 1991. EM-algorithm as a tool for structure analysis of stands of the common reed (Phragmites australis). Ecol. Modelling, 53: 27-38. The frequency distributions of morphometric and mechanical properties of randomly sampled stalks of seven reed stands at Lake Constance-Untersee are analysed by the Estimation-Maximisation Algorithm. The aim was to look for compo...

Abstract Effective management of the introduced invasive grass common reed [ Phragmites australis (Cav.) Trin. ex Steud.] requires ability to differentiate between and native subspecies found in North America. While genetic tools are useful for discriminating subspecies, morphological identification is a complementary approach that low zero cost does not require specialized equipment or technic...

Analyses of the stable isotope composition of feathers can provide significant insight into the spatial structure of bird migration. We collected feathers from Great Reed Warblers Acrocephalus arundinaceus, Clamorous Reed Warblers A. stentoreus and a small sample of their hybrids in a sympatric breeding population in Kazakhstan to assess natural variation in stable isotope signatures and deline...

Reed canarygrass (Phalaris arundinacea) is a widely distributed invasive species that dominates many natural areas and restoration sites. Cost-effective suppression and restoration strategies need to be developed for plant communities affected by this species. Pretreatments designed to disrupt rhizome apical dominance may augment herbicide performance by making reed canarygrass rhizomes more su...

This application report describes a Reed Solomon decoder implementation on the TMS320C64x DSP family. Reed Solomon codes have been widely accepted as the preferred (ECC) error control coding scheme for ADSL networks, digital cellular phones and high-definition television systems. The reason for their widespread prevalence is their excellent robustness to burst errors. Programmable implementati...