New descriptions of the weighted Reed-Muller codes and the homogeneous Reed-Muller codes
New descriptions of the weighted Reed-Muller codes and the homogeneous Reed-Muller codes
We give a description of the weighted Reed-Muller codes over a prime field in a modular algebra. A description of the homogeneous Reed-Muller codes in the same ambient space is presented for the binary case. A decoding procedure using the Landrock-Manz method is developed.
Vololona Harinoro Rakotomalala、Harinaivo Andriatahiny
数学
Vololona Harinoro Rakotomalala,Harinaivo Andriatahiny.New descriptions of the weighted Reed-Muller codes and the homogeneous Reed-Muller codes[EB/OL].(2017-01-04)[2025-07-23].https://arxiv.org/abs/1701.01059.点此复制
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