Information on Result #609482
Linear OA(219, 262144, F2, 3) (dual of [262144, 262125, 4]-code or 262144-cap in PG(18,2)), using Reed–Muller code RM(1,18)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(237, 262162, S2, 5) | [i] | ✔ | Construction X with Kerdock and Delsarte–Goethals OAs |
| 2 | OA(237, 262163, S2, 5) | [i] | ✔ | Construction X4 with Kerdock OAs |
| 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] | ||