On the size of the symmetry group of a perfect code |
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Authors: | Olof Heden |
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Institution: | aDepartment of Mathematics, KTH, S-100 44 Stockholm, Sweden |
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Abstract: | It is shown that for every nonlinear perfect code C of length n and rank r with n−log(n+1)+1≤r≤n−1, where denotes the group of symmetries of C. This bound considerably improves a bound of Malyugin. |
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Keywords: | Perfect codes Symmetry group |
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