Information on Result #944258
Linear OOA(217, 65535, F2, 3, 3) (dual of [(65535, 3), 196588, 4]-NRT-code), using OOA stacking with additional row based on linear OA(217, 65536, F2, 3) (dual of [65536, 65519, 4]-code or 65536-cap in PG(16,2)), using
- Reed–Muller code RM(1,16) [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(217, 65535, F2, 4, 3) (dual of [(65535, 4), 262123, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(217, 65535, F2, 5, 3) (dual of [(65535, 5), 327658, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(217, 65535, F2, 6, 3) (dual of [(65535, 6), 393193, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(217, 65535, F2, 7, 3) (dual of [(65535, 7), 458728, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(217, 65535, F2, 8, 3) (dual of [(65535, 8), 524263, 4]-NRT-code) | [i] | ||
| 6 | Digital (14, 17, 65535)-net over F2 | [i] | Net Defined by OOA | |