The two primary decoding algorithms for Reed-Solomon codes are the Berlekamp-Massey algorithmand the Sugiyama et al. adaptation of the Euclidean algorithm, both designed to solve a key equation. In this article an alternative version of the key equation and a newway to use the Euclidean algorithm to solve it are presented, which yield the Berlekamp-Massey algorithm. This results in a new, simpl...

Equipping farm machines is the key link of agricultural production process. The decision support system of equipping farm machines is able to aid managers to make scientific and effective decision. In this paper, the decision support system of equipping farm machines is designed and developed based on the related theories and the thought of prototype. The system chooses Delphi 7.0 as developmen...

PRISM carried at ALOS satellite is expected to generate worldwide topographic data in respects of its high resolution and stereoscopic observation. The software for generating Digital Surface Model was developed for the purpose of equipping the ground system which produces DSM semi-routinely in Earth Observation Research Center / Japan Aerospace Exploration Agency (EORC / JAXA). First, the geom...

We construct splitting varieties for triple Massey products. For a, b, c ∈ F∗ the triple Massey product 〈a, b, c〉 of the corresponding elements of H(F, μ2) contains 0 if and only if there is x ∈ F∗ and y ∈ F[ √ a, √ c]∗ such that bx = NF[a,c]/F(y), where NF[ √ a, √ c]/F denotes the norm, and F is a field of characteristic different from 2. These varieties satisfy the Hasse principle by a result...

The purpose of the present paper is to give a general method for determining the structure of the cohomology of stable two-stage space (for definitions see Section 1) as a module over the Steenrod algebra A. For convenience we only consider cohomology with coefficients in the integers in Z 2 , the integers mod 2. The general part of our paper, however, works equally well with arbitrary coeffici...