Information on Result #669997
Linear OA(6413, 130, F64, 9) (dual of [130, 117, 10]-code), using (u, u+v)-construction based on
- linear OA(644, 65, F64, 4) (dual of [65, 61, 5]-code or 65-arc in PG(3,64)), using
- extended Reed–Solomon code RSe(61,64) [i]
- linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- extended Reed–Solomon code RSe(56,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(3216, 130, S32, 9) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(6450, 4227, F64, 19) (dual of [4227, 4177, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6468, 262275, F64, 19) (dual of [262275, 262207, 20]-code) | [i] | ||
| 4 | Linear OA(6448, 4226, F64, 18) (dual of [4226, 4178, 19]-code) | [i] | ||
| 5 | Linear OA(6465, 262274, F64, 18) (dual of [262274, 262209, 19]-code) | [i] | ||
| 6 | Linear OA(6450, 4228, F64, 19) (dual of [4228, 4178, 20]-code) | [i] | ||
| 7 | Linear OA(6468, 262277, F64, 19) (dual of [262277, 262209, 20]-code) | [i] | ||
| 8 | Linear OA(6448, 4228, F64, 18) (dual of [4228, 4180, 19]-code) | [i] | ||
| 9 | Linear OA(6465, 262277, F64, 18) (dual of [262277, 262212, 19]-code) | [i] | ||