The extremal codes of lengths 76 with an automorphism of order 19 |
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| Institution: | 1. Faculty of Information Technology and Systems, Delft University of Technology, 2628 CD Delft, The Netherlands;2. Department of Mathematics and Computer Science, Fayetteville State University, Fayetteville, NC 28301, USA |
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| Abstract: | We find all extremal 76,38,14] binary self-dual codes having automorphism of order 19. There are three inequivalent such codes. One of them was previously known. The other two are new. These codes are the shortest known self-dual codes of minimal weight 14 as well as the best-known linear codes of that length and dimension. |
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