The Covering Radius of the $(m - 3)$rd Order Reed Muller Codes and a Lower Bound on the $(m - 4)$th Order Reed Muller Codes
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Publication:3205154
DOI10.1137/0137032zbMath0415.94007OpenAlexW2042588259MaRDI QIDQ3205154
Publication date: 1979
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0137032
Related Items (9)
\(GL(m,2)\) acting on \(R(r,m)/R(r-1,m)\) ⋮ On the covering radius of the third order Reed-Muller code \(\mathrm{RM}(3, 7)\) ⋮ On metric regularity of Reed-Muller codes ⋮ ON METRIC COMPLEMENTS AND METRIC REGULARITY IN FINITE METRIC SPACES ⋮ On the covering radius of Reed-Muller codes ⋮ Some inequalities about the covering radius of Reed-Muller codes ⋮ Further results on the covering radii of the Reed-Muller codes ⋮ The covering radius of the Reed-Muller code \(\text{RM}(2, 7)\) is \(40\) ⋮ Classification of cosets of the Reed-Muller code \(R(m-3,m)\)
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