Publication: Generalized Reed-Muller codes: a new construction of information sets
Authors
Bernal Buitrago, José Joaquín
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Publisher
Institute of Electrical and Electronics Engineers Inc.
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DOI
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info:eu-repo/semantics/lecture
Description
Abstract
In [2] we show how to construct information sets
for Reed-Muller codes only in terms of their basic parameters.
In this work we deal with the corresponding problem for q-ary
Generalized Reed-Muller codes of first and second order. We see
that for first-order codes the result for binary Reed-Muller codes
is also valid, while for second-order codes, with q > 2, we have
to manage more complex defining sets and we show that we get
different information sets. We also present some examples and
associated open problems.
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