Information on Result #1159457
Linear OOA(2190, large, F2, 7, 10), using (u, u+v)-construction based on
- linear OOA(246, 4194305, F2, 7, 5) (dual of [(4194305, 7), 29360089, 6]-NRT-code), using
- appending 2 arbitrary columns [i] 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
- appending 2 arbitrary columns [i] based on linear OOA(246, 4194305, F2, 5, 5) (dual of [(4194305, 5), 20971479, 6]-NRT-code), using
- linear OOA(2144, 4194303, F2, 7, 10) (dual of [(4194303, 7), 29359977, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2144, 4194304, F2, 5, 10) (dual of [(4194304, 5), 20971376, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25, 3, F2, 5, 5) (dual of [(3, 5), 10, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;10,2) [i]
- linear OOA(2139, 4194301, F2, 5, 10) (dual of [(4194301, 5), 20971366, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2140, large, F2, 3, 11), using
- OOA 2-folding [i] based on linear OOA(2139, 8388602, F2, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
- linear OOA(25, 3, F2, 5, 5) (dual of [(3, 5), 10, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(2144, 4194304, F2, 5, 10) (dual of [(4194304, 5), 20971376, 11]-NRT-code), using
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(2190, large, F2, 7, 9) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, large, F2, 7, 8) | [i] | ||
| 3 | Linear OOA(2190, large, F2, 7, 7) | [i] | ||
| 4 | Linear OOA(2190, large, F2, 7, 6) | [i] | ||
| 5 | Linear OOA(2190, large, F2, 7, 5) | [i] | ||
| 6 | Linear OOA(2190, large, F2, 7, 4) | [i] | ||
| 7 | Linear OOA(2190, large, F2, 7, 3) | [i] | ||
| 8 | Linear OOA(2197, large, F2, 7, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2204, large, F2, 7, 10) | [i] | ||
| 10 | Linear OOA(2211, large, F2, 7, 10) | [i] | ||
| 11 | Linear OOA(2218, large, F2, 7, 10) | [i] | ||
| 12 | Linear OOA(2225, large, F2, 7, 10) | [i] | ||
| 13 | Linear OOA(2232, large, F2, 7, 10) | [i] | ||
| 14 | Linear OOA(2239, large, F2, 7, 10) | [i] | ||
| 15 | Linear OOA(2246, large, F2, 7, 10) | [i] | ||
| 16 | Linear OOA(2253, large, F2, 7, 10) | [i] | ||
| 17 | Linear OOA(2260, large, F2, 7, 10) | [i] | ||
| 18 | Linear OOA(2192, large, F2, 7, 10) | [i] | OOA Duplication | |
| 19 | Linear OOA(2193, large, F2, 7, 10) | [i] | ||
| 20 | Linear OOA(2194, large, F2, 7, 10) | [i] | ||
| 21 | Linear OOA(2195, large, F2, 7, 10) | [i] | ||
| 22 | Linear OOA(2196, large, F2, 7, 10) | [i] | ||