Information on Result #618639
Linear OA(4951, 2401, F49, 26) (dual of [2401, 2350, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(7102, 4802, F7, 26) (dual of [4802, 4700, 27]-code) | [i] | Trace Code | |
| 2 | Linear OA(4953, 2403, F49, 27) (dual of [2403, 2350, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(4951, 2403, F49, 26) (dual of [2403, 2352, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(4952, 2406, F49, 26) (dual of [2406, 2354, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(4953, 2409, F49, 26) (dual of [2409, 2356, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4954, 2412, F49, 26) (dual of [2412, 2358, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4955, 2415, F49, 26) (dual of [2415, 2360, 27]-code) | [i] | ✔ | |