Spread Decoding in Extension Fields

Computer Science – Information Theory

Scientific paper

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Submitted for publication by Contemporary Mathematics of the American Mathematical Society

Scientific paper

A spread code is a set of vector spaces of a fixed dimension over a finite field Fq with certain properties used for random network coding. It can be constructed in different ways which lead to different decoding algorithms. In this work we present a new representation of spread codes with a minimum distance decoding algorithm which is efficient when the codewords, the received space and the error space have small dimension.

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