Information on Result #944256
Linear OOA(215, 16383, F2, 3, 3) (dual of [(16383, 3), 49134, 4]-NRT-code), using OOA stacking with additional row based on linear OA(215, 16384, F2, 3) (dual of [16384, 16369, 4]-code or 16384-cap in PG(14,2)), using
- Reed–Muller code RM(1,14) [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(215, 16383, F2, 4, 3) (dual of [(16383, 4), 65517, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(215, 16383, F2, 5, 3) (dual of [(16383, 5), 81900, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(215, 16383, F2, 6, 3) (dual of [(16383, 6), 98283, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(215, 16383, F2, 7, 3) (dual of [(16383, 7), 114666, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(215, 16383, F2, 8, 3) (dual of [(16383, 8), 131049, 4]-NRT-code) | [i] | ||
| 6 | Digital (12, 15, 16383)-net over F2 | [i] | Net Defined by OOA | |