Information on Result #678118
Linear OA(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(4152, 1048587, F4, 21) (dual of [1048587, 1048435, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(4164, 1048597, F4, 22) (dual of [1048597, 1048433, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(4165, 1048600, F4, 22) (dual of [1048600, 1048435, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(4176, 1048611, F4, 23) (dual of [1048611, 1048435, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(4146, 1048611, F4, 19) (dual of [1048611, 1048465, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(4148, 1048619, F4, 19) (dual of [1048619, 1048471, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(4149, 1048624, F4, 19) (dual of [1048624, 1048475, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(4204, 1048639, F4, 26) (dual of [1048639, 1048435, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4151, 1048636, F4, 19) (dual of [1048636, 1048485, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(4150, 1048627, F4, 19) (dual of [1048627, 1048477, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(4230, 1048663, F4, 28) (dual of [1048663, 1048433, 29]-code) | [i] | ✔ | |