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Finite Fields and Their Applications
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Spread decoding in extension fields

Authors: Felice Manganiello; Anna-Lena Trautmann;

Spread decoding in extension fields

Abstract

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.

Submitted for publication to Finite Fields and their Applications (Elsevier)

Keywords

FOS: Computer and information sciences, Grassmannian, spreads, Decoding, projective space, Computer Science - Information Theory, Information Theory (cs.IT), Algebraic coding theory; cryptography (number-theoretic aspects), network coding, Source coding, subspace codes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Top 10%
Green
hybrid