Information on Result #613067
Linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(4251, 1048586, F4, 34) (dual of [1048586, 1048335, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4254, 1048597, F4, 34) (dual of [1048597, 1048343, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(4255, 1048600, F4, 34) (dual of [1048600, 1048345, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(4256, 1048611, F4, 34) (dual of [1048611, 1048355, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(4258, 1048619, F4, 34) (dual of [1048619, 1048361, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(4259, 1048624, F4, 34) (dual of [1048624, 1048365, 35]-code) | [i] | ✔ | |