Binary Self-Dual Codes of Lengths 52 to 60 With an Automorphism of Order 7 or 13

All binary [
n
,
n
/2] optimal self-dual codes for length 52 ≤
n
≤ 60 with an automorphism of order 7 or 13 are classified up to equivalence. Two of the constructed [54,27,10] codes have weight enumerators that were not previously known to exist. There are also some [58,29,10] codes with new values of the parameters in their weight enumerator.