Information on Result #669981
Linear OA(6416, 130, F64, 11) (dual of [130, 114, 12]-code), using (u, u+v)-construction based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6411, 65, F64, 11) (dual of [65, 54, 12]-code or 65-arc in PG(10,64)), using
- extended Reed–Solomon code RSe(54,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
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 | OA(3220, 130, S32, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(6461, 4227, F64, 23) (dual of [4227, 4166, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6483, 262275, F64, 23) (dual of [262275, 262192, 24]-code) | [i] | ||
| 4 | Linear OA(6459, 4226, F64, 22) (dual of [4226, 4167, 23]-code) | [i] | ||
| 5 | Linear OA(6480, 262274, F64, 22) (dual of [262274, 262194, 23]-code) | [i] | ||
| 6 | Linear OA(6461, 4228, F64, 23) (dual of [4228, 4167, 24]-code) | [i] | ||
| 7 | Linear OA(6483, 262277, F64, 23) (dual of [262277, 262194, 24]-code) | [i] | ||
| 8 | Linear OA(6459, 4228, F64, 22) (dual of [4228, 4169, 23]-code) | [i] | ||
| 9 | Linear OA(6480, 262277, F64, 22) (dual of [262277, 262197, 23]-code) | [i] | ||