F-metrics are metrics based on projective sets. In this paper, construction of optimal codes for a special F-metric associated with a generalized Vandermon.
CODES IN THE VANDERMONDE F-METRIC AND THEIR APPLICATION. 163 where E` is the identity matrix of order ` and the n × (N − n + k) matrix. B1. B2 is a ...
In this paper, construction of optimal codes for a special F-metric associated with a generalized Vandermonde matrix is given. Encoding and fast decoding ...
In this paper, construction of optimal codes for a special F-metric associated with a generalized Vandermonde matrix is given. Encoding and fast decoding ...
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What is the purpose of the Vandermonde matrix?
What are linear codes used for?
A Vandermonde matrix arises in the solutions of linear systems, the calculation of the coefficients of Lagrange interpolating polynomials.
In this paper, construction of optimal codes for a special F-metric associated with a generalized Vandermonde matrix is given. Encoding and fast decoding ...
The matrix is described by the formula A ( i , j ) = v ( i ) ( N − j ) such that its columns are powers of the vector v .
In linear algebra, a Vandermonde matrix, named after Alexandre-Théophile Vandermonde, is a matrix with the terms of a geometric progression in each row.
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Any k × k sub-matrix of a k × n Vandermonde matrix is invertible if all ai are distinct. 3 Application. Reed-Solomon Code can be applied to disk storage.
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Vandermonde matrices are exponentially ill-conditioned, rendering the familiar. “polyval(polyfit)” algorithm for polynomial interpolation and least-squares ...