Information on Result #678357
Linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(4137, 262154, F4, 21) (dual of [262154, 262017, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4127, 262153, F4, 19) (dual of [262153, 262026, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(4148, 262165, F4, 22) (dual of [262165, 262017, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(4159, 262176, F4, 23) (dual of [262176, 262017, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(4132, 262176, F4, 19) (dual of [262176, 262044, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4134, 262187, F4, 19) (dual of [262187, 262053, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(4185, 262202, F4, 26) (dual of [262202, 262017, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4137, 262199, F4, 19) (dual of [262199, 262062, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(4136, 262195, F4, 19) (dual of [262195, 262059, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(4209, 262226, F4, 28) (dual of [262226, 262017, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(4158, 262168, F4, 23) (dual of [262168, 262010, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |