The Reed-Muller Code R(1,7) Is Normal |
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| Authors: | Xiang-Dong Hou |
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| Institution: | (1) Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 45435 |
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| Abstract: | We prove that the Reed-Muller code R(1,7) is normal. The normality of R(1,7) was a long-standing open question, and has an important consequence in a conjecture about the function tn,k], the smallest covering radius of any n,k] binary linear code. |
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| Keywords: | Reed-Muller code normal code covering radius |
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