Information on Result #944254
Linear OOA(213, 4095, F2, 3, 3) (dual of [(4095, 3), 12272, 4]-NRT-code), using OOA stacking with additional row based on linear OA(213, 4096, F2, 3) (dual of [4096, 4083, 4]-code or 4096-cap in PG(12,2)), using
- Reed–Muller code RM(1,12) [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(213, 4095, F2, 4, 3) (dual of [(4095, 4), 16367, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(213, 4095, F2, 5, 3) (dual of [(4095, 5), 20462, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(213, 4095, F2, 6, 3) (dual of [(4095, 6), 24557, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(213, 4095, F2, 7, 3) (dual of [(4095, 7), 28652, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(213, 4095, F2, 8, 3) (dual of [(4095, 8), 32747, 4]-NRT-code) | [i] | ||
| 6 | Digital (10, 13, 4095)-net over F2 | [i] | Net Defined by OOA | |