Information on Result #944259
Linear OOA(218, 131071, F2, 3, 3) (dual of [(131071, 3), 393195, 4]-NRT-code), using OOA stacking with additional row based on linear OA(218, 131072, F2, 3) (dual of [131072, 131054, 4]-code or 131072-cap in PG(17,2)), using
- Reed–Muller code RM(1,17) [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(218, 131071, F2, 4, 3) (dual of [(131071, 4), 524266, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(218, 131071, F2, 5, 3) (dual of [(131071, 5), 655337, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(218, 131071, F2, 6, 3) (dual of [(131071, 6), 786408, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(218, 131071, F2, 7, 3) (dual of [(131071, 7), 917479, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(218, 131071, F2, 8, 3) (dual of [(131071, 8), 1048550, 4]-NRT-code) | [i] | ||
| 6 | Digital (15, 18, 131071)-net over F2 | [i] | Net Defined by OOA | |