In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d = 14 and 16 are constructed. In particular, the first extremal "Type I [86, 43, 16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40, 50, 52, and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100.
- Extremal self-dual codes
- Weight enumerators and shadow codes
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences