Information on Result #1079294
Linear OOA(2123, 4194318, F2, 4, 8) (dual of [(4194318, 4), 16777149, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(28, 17, F2, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 17)-net over F2, using
- appending kth column [i] based on linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- linear OOA(2115, 4194301, F2, 4, 8) (dual of [(4194301, 4), 16777089, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2115, 8388602, F2, 2, 8) (dual of [(8388602, 2), 16777089, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2115, large, F2, 2, 8), using
- OOA 2-folding [i] based on linear OOA(2115, 8388602, F2, 2, 8) (dual of [(8388602, 2), 16777089, 9]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2123, 4194317, F2, 5, 8) (dual of [(4194317, 5), 20971462, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2123, 4194317, F2, 6, 8) (dual of [(4194317, 6), 25165779, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(2123, 4194317, F2, 7, 8) (dual of [(4194317, 7), 29360096, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(2123, 4194317, F2, 8, 8) (dual of [(4194317, 8), 33554413, 9]-NRT-code) | [i] | ||