The second weight of generalized Reed-Muller codes in most cases
classification
💻 cs.IT
math.IT
keywords
secondweightgeneralizedreed-mullercasecasescodecodes
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The second weight of the Generalized Reed-Muller code of order $d$ over the finite field with $q$ elements is now known for $d <q$ and $d>(n-1)(q-1)$. In this paper, we determine the second weight for the other values of $d$ which are not multiple of $q-1$ plus 1. For the special case $d=a(q-1)+1$ we give an estimate.
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