We classify the extremal self-dual codes of lengths 38 or 40 having an automorphism of order 3 with six independent 3-cycles, 10 independent 3-cycles, or 12 independent 3-cycles. In this way we complete the classification of binary extremal self-dual codes of length up to 48 having automorphism of odd prime order.
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Acknowledgments The author would like to thank the anonymous referees for their helpful comments and suggestions. This work was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0028298).
All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Applied Mathematics