Information on Result #609764
Linear OA(643, 66, F64, 3) (dual of [66, 63, 4]-code or 66-arc in PG(2,64) or 66-cap in PG(2,64)), using hyperoval in PG(2, 64)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(6416, 4163, F64, 7) (dual of [4163, 4147, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6422, 262211, F64, 7) (dual of [262211, 262189, 8]-code) | [i] | ||
| 3 | Linear OA(6414, 4162, F64, 6) (dual of [4162, 4148, 7]-code) | [i] | ||
| 4 | Linear OA(6419, 262210, F64, 6) (dual of [262210, 262191, 7]-code) | [i] | ||
| 5 | Linear OA(6416, 4164, F64, 7) (dual of [4164, 4148, 8]-code) | [i] | ||
| 6 | Linear OA(6422, 262213, F64, 7) (dual of [262213, 262191, 8]-code) | [i] | ||
| 7 | Linear OA(6414, 4164, F64, 6) (dual of [4164, 4150, 7]-code) | [i] | ||
| 8 | Linear OA(6419, 262213, F64, 6) (dual of [262213, 262194, 7]-code) | [i] | ||
| 9 | Linear OA(6417, 4176, F64, 7) (dual of [4176, 4159, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(6418, 4238, F64, 7) (dual of [4238, 4220, 8]-code) | [i] | ||
| 11 | Linear OA(6415, 4176, F64, 6) (dual of [4176, 4161, 7]-code) | [i] | ||
| 12 | Linear OA(6440, 262291, F64, 11) (dual of [262291, 262251, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(6424, 262276, F64, 7) (dual of [262276, 262252, 8]-code) | [i] | ||