Information on Result #618989
Linear OA(6439, 65, F64, 39) (dual of [65, 26, 40]-code or 65-arc in PG(38,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(878, 130, F8, 39) (dual of [130, 52, 40]-code) | [i] | Trace Code | |
| 2 | Linear OA(4247, 325, F4, 119) (dual of [325, 78, 120]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(8143, 195, F8, 79) (dual of [195, 52, 80]-code) | [i] | ||
| 4 | Linear OA(6450, 77, F64, 39) (dual of [77, 27, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |