We give a description of the weighted Reed-Muller codes over a prime field in a modular algebra. A description of the homogeneous Reed-Muller codes in the same ambient space is presented for the binary case. A decoding procedure using the Landrock-Manz method is developed.

A lossless compression of images using coding schemes and patterns that include minterm, cube and coordinate data coding, Walsh, triangular and Reed–Muller weights based patterns, Reed–Muller spectra and reference row technique is proposed. The experimental results indicate that the technique is fairly efficient when compared with other methods based on representations of logic functions. 2003 ...

The hormone auxin plays a critical role in the regulation of plant growth and development. Auxin is transported from cell to cell with strict directionality by uptake and efflux carrier proteins (reviewed by Muday and DeLong, 2001). The polarity of auxin transport is believed to be controlled by the localization of auxin transport proteins, with both putative efflux carriers and influx carriers...

To determinize Büchi automata it is necessary to switch to another class of ω-automata, e.g. Muller or Rabin automata. The reason is that there exist languages which are accepted by some nondeterministic Büchi-automaton, but not by any deterministic Büchi-automaton (c.f. section 3.1). The history of constructions for determinizing Büchi automata is long: it starts in 1963 with a faulty construc...

PURPOSE In response to acute damage, Muller glia in the retina have been shown to dramatically alter their expression of filamentous proteins. Since damaged retinal cells are known to produce growth factors such as insulin-like growth factor (IGF), ciliary neurotrophic factor (CNTF) and fibroblast growth factor (FGF), the altered expression of filaments in Muller glia in response to retinal dam...

Glutamate transporters are involved in maintaining extracellular glutamate at a low level to ensure a high signal-to-noise ratio for glutamatergic neurotransmission and to protect neurons from excitotoxic damage. The mammalian retina is known to express the excitatory amino acid transporters, EAAT1-5; however, their specific role in glutamate homeostasis is poorly understood. To examine the rol...

Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family of codes. They used in many areas coding theory both electrical engineering computer science. Yet, their important properties still under investigation. This paper covers some recent developments regarding weight enumerator capacity-achieving RM codes, as well algorithmic developments. In particular, discus...

Muller cyst is very rare. It found in about 5% of azoosperm patients. a residual embryological vestige the female genital organ men. collection developed uterine cavity man called prostatic utricle. [1] it benign lesion, most often congenital, rarely acquired. This lesion may be asymptomatic or symptomatic, and rare cases associated with renal agenesis. [2] various means treatment, treatment co...