Information on Result #678349
Linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(4191, 262154, F4, 29) (dual of [262154, 261963, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4181, 262153, F4, 27) (dual of [262153, 261972, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(4202, 262165, F4, 30) (dual of [262165, 261963, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(4213, 262176, F4, 31) (dual of [262176, 261963, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(4186, 262176, F4, 27) (dual of [262176, 261990, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4188, 262187, F4, 27) (dual of [262187, 261999, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4239, 262202, F4, 34) (dual of [262202, 261963, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4191, 262199, F4, 27) (dual of [262199, 262008, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4190, 262195, F4, 27) (dual of [262195, 262005, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4200, 262226, F4, 27) (dual of [262226, 262026, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4212, 262168, F4, 31) (dual of [262168, 261956, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(4185, 262168, F4, 27) (dual of [262168, 261983, 28]-code) | [i] | ✔ | |