Conway and Sloane have listed the possible weight enumerators l'or extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60.
- Double circulant codes
- Extremal self-dual codes
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