Information on Result #672413
Linear OA(219, 262144, F2, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(238, 262163, F2, 5) (dual of [262163, 262125, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(238, 262164, F2, 5) (dual of [262164, 262126, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 3 | Linear OOA(219, 262143, F2, 2, 3) (dual of [(262143, 2), 524267, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(219, 262143, F2, 3, 3) (dual of [(262143, 3), 786410, 4]-NRT-code) | [i] | ||