Information on Result #944260
Linear OOA(219, 262143, F2, 3, 3) (dual of [(262143, 3), 786410, 4]-NRT-code), using OOA stacking with additional row based on 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) [i]
- caps in base b = 2 [i]
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 OOA(219, 262143, F2, 4, 3) (dual of [(262143, 4), 1048553, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(219, 262143, F2, 5, 3) (dual of [(262143, 5), 1310696, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(219, 262143, F2, 6, 3) (dual of [(262143, 6), 1572839, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(219, 262143, F2, 7, 3) (dual of [(262143, 7), 1834982, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(219, 262143, F2, 8, 3) (dual of [(262143, 8), 2097125, 4]-NRT-code) | [i] | ||
| 6 | Digital (16, 19, 262143)-net over F2 | [i] | Net Defined by OOA | |