Information on Result #618792
Linear OA(6417, 65, F64, 17) (dual of [65, 48, 18]-code or 65-arc in PG(16,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(834, 130, F8, 17) (dual of [130, 96, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(6459, 242, F64, 35) (dual of [242, 183, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6486, 4162, F64, 35) (dual of [4162, 4076, 36]-code) | [i] | ||
| 4 | Linear OA(6458, 242, F64, 34) (dual of [242, 184, 35]-code) | [i] | ||
| 5 | Linear OA(6484, 4161, F64, 34) (dual of [4161, 4077, 35]-code) | [i] | ||
| 6 | Linear OA(6486, 4163, F64, 35) (dual of [4163, 4077, 36]-code) | [i] | ||
| 7 | Linear OA(6484, 4163, F64, 34) (dual of [4163, 4079, 35]-code) | [i] | ||
| 8 | Linear OA(6423, 72, F64, 17) (dual of [72, 49, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |