A note on the generalized Hamming weights of Reed-Muller codes
classification
💻 cs.IT
math.IT
keywords
codesgeneralizedhammingnoteweightsbasicdescriptiongeneralize
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In this note, we give a very simple description of the generalized Hamming weights of Reed--Muller codes. For this purpose, we generalize the well-known Macaulay representation of a nonnegative integer and state some of its basic properties.
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