Information on Result #678376
Linear OA(419, 262144, F4, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3
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(429, 262154, F4, 5) (dual of [262154, 262125, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(440, 262165, F4, 6) (dual of [262165, 262125, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(450, 262168, F4, 7) (dual of [262168, 262118, 8]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(429, 262155, F4, 5) (dual of [262155, 262126, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |