Emergent Mind
When the extension property does not hold
(1512.05486)
Published Dec 17, 2015
in
cs.IT
,
math.CO
,
and
math.IT
Abstract
A complete extension theorem for linear codes over a module alphabet and the symmetrized weight composition is proved. It is shown that an extension property with respect to arbitrary weight function does not hold for module alphabets with a noncyclic socle.
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