A graphical representation of binary linear codes

05/21/2022
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by   Lisbeth Danyeli Delgado OrdoΓ±ez, et al.
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A binary [n,k]-linear code π’ž is a k-dimensional subspace of 𝔽_2^n. For xβˆˆπ”½_2^n, the set x+π’ž is a coset of π’ž. In this work we study a partial ordering on the set of cosets of a binary linear code π’ž of length n and we construct a graph using the orphan structure of this code.

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