Error correcting codes are used for detection and correction of errors in digital communication system. Error correcting coding is based on appending of redundancy to the information message according to a prescribed algorithm. Reed Solomon codes are part of channel coding and withstand the effect of noise, interference and fading. Galois field arithmetic is used for encoding and decoding reed ...

Let (W,S) be a finite Coxeter system. Tits defined an associative product on the set Σ of simplices of the associated Coxeter complex. The corresponding semigroup algebra is the Solomon-Tits algebra of W . It contains the Solomon algebra of W as the algebra of invariants with respect to the natural action of W on Σ. For the symmetric group Sn, there is a 1-1 correspondence between Σ and the set...

RECONSTRUCTION OF PREHISTORIC exchange systems in Island Melanesia is becoming increasingly possible as archaeological activity continues to expand our knowledge of areas formerly labeled terra incognita. The Solomon Islands represent such an area, although much of the archipelago remains little known or unknown archaeologically. The objective of this paper is to examine recent evidence for pas...

This document describes a Fully-Specified Forward Error Correction (FEC) Scheme for the Reed-Solomon FEC codes over GF(2^^m), where m is in {2..16}, and its application to the reliable delivery of data objects on the packet erasure channel (i.e., a communication path where packets are either received without any corruption or discarded during transmission). This document also describes a Fully-...

AIM To determine the costs associated with diabetes to governments, people with diabetes and their carers, and its impact on quality of life in two Pacific Island countries--the Solomon Islands and Nauru. MATERIALS AND METHODS This cross-sectional cost of illness study was conducted on 330 people with type 2 diabetes (197 from the Solomon Islands and 133 from Nauru) using a structured cost of...

MDS (e.g. Reed-Solomon) codes have many desirable properties which make them the code of choice in network scenarios and distributed coding schemes. An average binary weight enumerator of Reed-Solomon (RS) codes is derived assuming a binomial distribution of the bits in a non-zero symbol. Lower bounds on the average binary minimum distance of the ensemble of binary images of a Reed-Solomon code...

It has been proved that the maximum likelihood decoding problem of Reed-Solomon codes is NP-hard. However, the length of the code in the proof is at most polylogarithmic in the size of the alphabet. For the complexity of maximum likelihood decoding of the primitive Reed-Solomon code, whose length is one less than the size of alphabet, the only known result states that it is at least as hard as ...

BACKGROUND A severe form of iron overload with the clinicopathological features of haemochromatosis inherited in an autosomal dominant manner has been described in the Solomon Islands. The genetic basis of the disorder has not been identified. The disorder has similarities to type 4 haemochromatosis, which is caused by mutations in ferroportin1. AIMS The aims of this study were to identify th...

In the present world, communication system which includes wireless, satellite and space communication, reducing error is being critical. During message transferring the data might get corrupted, so high bit error rate of the wireless communication system requires employing to various coding methods for transferring the data. Channel coding for detection and correction of error helps the communi...