Information on Result #1175321
Linear OOA(2164, large, F2, 8, 9), using (u, u+v)-construction based on
- linear OOA(244, 4194305, F2, 8, 4) (dual of [(4194305, 8), 33554396, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(244, 4194305, F2, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(244, 4194305, F2, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (40, 44, 4194305)-net over F2, using
- appending kth column [i] based on linear OOA(244, 4194305, F2, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(244, 4194305, F2, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
- linear OOA(2120, 4194304, F2, 8, 9) (dual of [(4194304, 8), 33554312, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(24, 3, F2, 8, 4) (dual of [(3, 8), 20, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(8;20,2) [i]
- linear OOA(2116, 4194301, F2, 8, 9) (dual of [(4194301, 8), 33554292, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2116, large, F2, 2, 9), using
- linear OOA(24, 3, F2, 8, 4) (dual of [(3, 8), 20, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(2164, large, F2, 8, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2164, large, F2, 8, 7) | [i] | ||
| 3 | Linear OOA(2164, large, F2, 8, 6) | [i] | ||
| 4 | Linear OOA(2164, large, F2, 8, 5) | [i] | ||
| 5 | Linear OOA(2164, large, F2, 8, 4) | [i] | ||
| 6 | Linear OOA(2164, large, F2, 8, 3) | [i] | ||
| 7 | Linear OOA(2172, large, F2, 8, 9) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2180, large, F2, 8, 9) | [i] | ||
| 9 | Linear OOA(2188, large, F2, 8, 9) | [i] | ||
| 10 | Linear OOA(2196, large, F2, 8, 9) | [i] | ||
| 11 | Linear OOA(2204, large, F2, 8, 9) | [i] | ||
| 12 | Linear OOA(2212, large, F2, 8, 9) | [i] | ||
| 13 | Linear OOA(2220, large, F2, 8, 9) | [i] | ||
| 14 | Linear OOA(2228, large, F2, 8, 9) | [i] | ||
| 15 | Linear OOA(2236, large, F2, 8, 9) | [i] | ||
| 16 | Linear OOA(2244, large, F2, 8, 9) | [i] | ||
| 17 | Linear OOA(2252, large, F2, 8, 9) | [i] | ||
| 18 | Linear OOA(2260, large, F2, 8, 9) | [i] | ||
| 19 | Linear OOA(2165, large, F2, 8, 9) | [i] | OOA Duplication | |
| 20 | Linear OOA(2166, large, F2, 8, 9) | [i] | ||
| 21 | Linear OOA(2167, large, F2, 8, 9) | [i] | ||
| 22 | Linear OOA(2168, large, F2, 8, 9) | [i] | ||
| 23 | Linear OOA(2169, large, F2, 8, 9) | [i] | ||
| 24 | Linear OOA(2170, large, F2, 8, 9) | [i] | ||
| 25 | Linear OOA(2171, large, F2, 8, 9) | [i] | ||
| 26 | Linear OOA(2164, large, F2, 9, 9) | [i] | Appending kth Column | |