Information on Result #618921
Linear OA(6431, 65, F64, 31) (dual of [65, 34, 32]-code or 65-arc in PG(30,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(862, 130, F8, 31) (dual of [130, 68, 32]-code) | [i] | Trace Code | |
| 2 | Linear OA(2251, 455, F2, 63) (dual of [455, 204, 64]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(4158, 260, F4, 63) (dual of [260, 102, 64]-code) | [i] | ||
| 4 | Linear OA(4223, 325, F4, 95) (dual of [325, 102, 96]-code) | [i] | ||
| 5 | Linear OA(8127, 195, F8, 63) (dual of [195, 68, 64]-code) | [i] | ||
| 6 | Linear OA(6441, 76, F64, 31) (dual of [76, 35, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |