On the Automorphisms of Order 2 with Fixed Points for the Extremal Self-Dual Codes of Length 24"m |
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| Authors: | Stefka Bouyuklieva |
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| Institution: | (1) Department of Mediamatics, Faculty of Information Technology and Systems, Delft University of Technology, P.O. Box 5031, 2600GA Delft, The Netherlands |
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| Abstract: | It is shown that an extremal self-dual code of length 24">m may have an automorphism of order 2 with fixed points only for ">m = 1,3, or 5. We prove that no self-dual 72, 36, 16] code has such an automorphism in its automorphism group. |
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| Keywords: | self-dual codes automorphisms doubly-even codes |
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