Information on Result #944263
Linear OOA(222, 2097151, F2, 3, 3) (dual of [(2097151, 3), 6291431, 4]-NRT-code), using OOA stacking with additional row based on linear OA(222, 2097152, F2, 3) (dual of [2097152, 2097130, 4]-code or 2097152-cap in PG(21,2)), using
- Reed–Muller code RM(1,21) [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(222, 2097151, F2, 4, 3) (dual of [(2097151, 4), 8388582, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 2 | Linear OOA(222, 2097151, F2, 5, 3) (dual of [(2097151, 5), 10485733, 4]-NRT-code) | [i] | ||
| 3 | Linear OOA(222, 2097151, F2, 6, 3) (dual of [(2097151, 6), 12582884, 4]-NRT-code) | [i] | ||
| 4 | Linear OOA(222, 2097151, F2, 7, 3) (dual of [(2097151, 7), 14680035, 4]-NRT-code) | [i] | ||
| 5 | Linear OOA(222, 2097151, F2, 8, 3) (dual of [(2097151, 8), 16777186, 4]-NRT-code) | [i] | ||
| 6 | Digital (19, 22, 2097151)-net over F2 | [i] | Net Defined by OOA | |