Information on Result #618940
Linear OA(6433, 65, F64, 33) (dual of [65, 32, 34]-code or 65-arc in PG(32,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(866, 130, F8, 33) (dual of [130, 64, 34]-code) | [i] | Trace Code | |
| 2 | Linear OA(4164, 260, F4, 67) (dual of [260, 96, 68]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(4229, 325, F4, 101) (dual of [325, 96, 102]-code) | [i] | ||
| 4 | Linear OA(8131, 195, F8, 67) (dual of [195, 64, 68]-code) | [i] | ||
| 5 | Linear OA(6444, 77, F64, 33) (dual of [77, 33, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |