Information on Result #1080817
Linear OOA(315, 117, F3, 4, 5) (dual of [(117, 4), 453, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(34, 40, F3, 4, 2) (dual of [(40, 4), 156, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(34, 40, F3, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
- appending kth column [i] based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- appending kth column [i] based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(34, 40, F3, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
- linear OOA(311, 77, F3, 4, 5) (dual of [(77, 4), 297, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3106, 2097267, F3, 4, 10) (dual of [(2097267, 4), 8388962, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3129, 2391601, F3, 4, 10) (dual of [(2391601, 4), 9566275, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 2097267, F3, 4, 11) (dual of [(2097267, 4), 8388947, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3143, 2391605, F3, 4, 11) (dual of [(2391605, 4), 9566277, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(3242, 4194417, F3, 4, 16) (dual of [(4194417, 4), 16777426, 17]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3226, 4194417, F3, 4, 15) (dual of [(4194417, 4), 16777442, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(315, 117, F3, 5, 5) (dual of [(117, 5), 570, 6]-NRT-code) | [i] | Appending kth Column | |