Information on Result #618450
Linear OA(497, 2401, F49, 4) (dual of [2401, 2394, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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 | Linear OA(714, 4802, F7, 4) (dual of [4802, 4788, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(4932, 120051, F49, 9) (dual of [120051, 120019, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4940, 5767203, F49, 9) (dual of [5767203, 5767163, 10]-code) | [i] | ||
| 4 | Linear OA(497, 2403, F49, 4) (dual of [2403, 2396, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4912, 2406, F49, 6) (dual of [2406, 2394, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(4915, 2409, F49, 7) (dual of [2409, 2394, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(4918, 2412, F49, 8) (dual of [2412, 2394, 9]-code) | [i] | ✔ | |