Information on Result #944264
Linear OOA(223, 4194303, F2, 3, 3) (dual of [(4194303, 3), 12582886, 4]-NRT-code), using OOA stacking with additional row based on linear OA(223, 4194304, F2, 3) (dual of [4194304, 4194281, 4]-code or 4194304-cap in PG(22,2)), using
- Reed–Muller code RM(1,22) [i]
- caps in base b = 2 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(223, 4194303, F2, 4, 3) (dual of [(4194303, 4), 16777189, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(223, 4194303, F2, 5, 3) (dual of [(4194303, 5), 20971492, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(223, 4194303, F2, 6, 3) (dual of [(4194303, 6), 25165795, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(223, 4194303, F2, 7, 3) (dual of [(4194303, 7), 29360098, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(223, 4194303, F2, 8, 3) (dual of [(4194303, 8), 33554401, 4]-NRT-code) | [i] | ||
| 6 | Digital (20, 23, 4194303)-net over F2 | [i] | Net Defined by OOA | |