Information on Result #618774
Linear OA(6415, 65, F64, 15) (dual of [65, 50, 16]-code or 65-arc in PG(14,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(830, 130, F8, 15) (dual of [130, 100, 16]-code) | [i] | Trace Code | |
| 2 | OA(3218, 65, S32, 15) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6453, 242, F64, 31) (dual of [242, 189, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6476, 4162, F64, 31) (dual of [4162, 4086, 32]-code) | [i] | ||
| 5 | Linear OA(6452, 242, F64, 30) (dual of [242, 190, 31]-code) | [i] | ||
| 6 | Linear OA(6474, 4161, F64, 30) (dual of [4161, 4087, 31]-code) | [i] | ||
| 7 | Linear OA(6476, 4163, F64, 31) (dual of [4163, 4087, 32]-code) | [i] | ||
| 8 | Linear OA(6474, 4163, F64, 30) (dual of [4163, 4089, 31]-code) | [i] | ||
| 9 | Linear OA(6486, 4227, F64, 31) (dual of [4227, 4141, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(6484, 4226, F64, 30) (dual of [4226, 4142, 31]-code) | [i] | ||
| 11 | Linear OA(6421, 72, F64, 15) (dual of [72, 51, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |