Information on Result #1159363
Linear OOA(2163, large, F2, 7, 8), using (u, u+v)-construction based on
- linear OOA(244, 4194305, F2, 7, 4) (dual of [(4194305, 7), 29360091, 5]-NRT-code), using
- appending 3 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 3 arbitrary columns [i] based on linear OOA(244, 4194305, F2, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
- linear OOA(2119, 4194304, F2, 7, 8) (dual of [(4194304, 7), 29360009, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(24, 3, F2, 7, 4) (dual of [(3, 7), 17, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;17,2) [i]
- linear OOA(2115, 4194301, F2, 7, 8) (dual of [(4194301, 7), 29359992, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2115, large, F2, 2, 8), using
- linear OOA(24, 3, F2, 7, 4) (dual of [(3, 7), 17, 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(2163, large, F2, 7, 7) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, large, F2, 7, 6) | [i] | ||
| 3 | Linear OOA(2163, large, F2, 7, 5) | [i] | ||
| 4 | Linear OOA(2163, large, F2, 7, 4) | [i] | ||
| 5 | Linear OOA(2163, large, F2, 7, 3) | [i] | ||
| 6 | Linear OOA(2170, large, F2, 7, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2177, large, F2, 7, 8) | [i] | ||
| 8 | Linear OOA(2184, large, F2, 7, 8) | [i] | ||
| 9 | Linear OOA(2198, large, F2, 7, 8) | [i] | ||
| 10 | Linear OOA(2205, large, F2, 7, 8) | [i] | ||
| 11 | Linear OOA(2212, large, F2, 7, 8) | [i] | ||
| 12 | Linear OOA(2219, large, F2, 7, 8) | [i] | ||
| 13 | Linear OOA(2226, large, F2, 7, 8) | [i] | ||
| 14 | Linear OOA(2233, large, F2, 7, 8) | [i] | ||
| 15 | Linear OOA(2240, large, F2, 7, 8) | [i] | ||
| 16 | Linear OOA(2247, large, F2, 7, 8) | [i] | ||
| 17 | Linear OOA(2254, large, F2, 7, 8) | [i] | ||
| 18 | Linear OOA(2165, large, F2, 7, 8) | [i] | OOA Duplication | |
| 19 | Linear OOA(2166, large, F2, 7, 8) | [i] | ||
| 20 | Linear OOA(2167, large, F2, 7, 8) | [i] | ||
| 21 | Linear OOA(2168, large, F2, 7, 8) | [i] | ||
| 22 | Linear OOA(2169, large, F2, 7, 8) | [i] | ||
| 23 | Linear OOA(2163, large, F2, 8, 8) | [i] | Appending kth Column | |