Information on Result #1115556
Linear OOA(2186, 8388602, F2, 5, 11) (dual of [(8388602, 5), 41942824, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(246, 4194305, F2, 5, 5) (dual of [(4194305, 5), 20971479, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(246, 4194305, F2, 4, 5) (dual of [(4194305, 4), 16777174, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (41, 46, 4194305)-net over F2, using
- appending kth column [i] based on linear OOA(246, 4194305, F2, 4, 5) (dual of [(4194305, 4), 16777174, 6]-NRT-code), using
- linear OOA(2140, 4194301, F2, 5, 11) (dual of [(4194301, 5), 20971365, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2140, 8388602, F2, 3, 11) (dual of [(8388602, 3), 25165666, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2140, large, F2, 3, 11), using
- OOA 2-folding [i] based on linear OOA(2140, 8388602, F2, 3, 11) (dual of [(8388602, 3), 25165666, 12]-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(2186, 8388602, F2, 5, 10) (dual of [(8388602, 5), 41942824, 11]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2191, large, F2, 5, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2196, large, F2, 5, 11) | [i] | ||
| 4 | Linear OOA(2201, large, F2, 5, 11) | [i] | ||
| 5 | Linear OOA(2206, large, F2, 5, 11) | [i] | ||
| 6 | Linear OOA(2211, large, F2, 5, 11) | [i] | ||
| 7 | Linear OOA(2216, large, F2, 5, 11) | [i] | ||
| 8 | Linear OOA(2221, large, F2, 5, 11) | [i] | ||
| 9 | Linear OOA(2226, large, F2, 5, 11) | [i] | ||
| 10 | Linear OOA(2231, large, F2, 5, 11) | [i] | ||
| 11 | Linear OOA(2236, large, F2, 5, 11) | [i] | ||
| 12 | Linear OOA(2241, large, F2, 5, 11) | [i] | ||
| 13 | Linear OOA(2246, large, F2, 5, 11) | [i] | ||
| 14 | Linear OOA(2251, large, F2, 5, 11) | [i] | ||
| 15 | Linear OOA(2256, large, F2, 5, 11) | [i] | ||
| 16 | Linear OOA(2187, 8388602, F2, 5, 11) (dual of [(8388602, 5), 41942823, 12]-NRT-code) | [i] | OOA Duplication | |
| 17 | Linear OOA(2188, 8388602, F2, 5, 11) (dual of [(8388602, 5), 41942822, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(2189, 8388602, F2, 5, 11) (dual of [(8388602, 5), 41942821, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(2190, 8388602, F2, 5, 11) (dual of [(8388602, 5), 41942820, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(2186, 8388601, F2, 6, 11) (dual of [(8388601, 6), 50331420, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 21 | Linear OOA(2186, 8388601, F2, 7, 11) (dual of [(8388601, 7), 58720021, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(2186, 8388601, F2, 8, 11) (dual of [(8388601, 8), 67108622, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(2186, 8388601, F2, 15, 11) (dual of [(8388601, 15), 125828829, 12]-NRT-code) | [i] | ||