Information on Result #1022016
Linear OOA(923, 58329, F9, 3, 5) (dual of [(58329, 3), 174964, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(90, 6481, F9, 3, 0) (dual of [(6481, 3), 19443, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(90, s, F9, 3, 0) for arbitrarily large s, using
- linear OOA(90, 6481, F9, 3, 0) (dual of [(6481, 3), 19443, 1]-NRT-code) (see above)
- linear OOA(90, 6481, F9, 3, 0) (dual of [(6481, 3), 19443, 1]-NRT-code) (see above)
- linear OOA(90, 6481, F9, 3, 0) (dual of [(6481, 3), 19443, 1]-NRT-code) (see above)
- linear OOA(91, 6481, F9, 3, 1) (dual of [(6481, 3), 19442, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(91, s, F9, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(91, s, F9, 3, 1) for arbitrarily large s, using
- linear OOA(91, 6481, F9, 3, 1) (dual of [(6481, 3), 19442, 2]-NRT-code) (see above)
- linear OOA(91, 6481, F9, 3, 1) (dual of [(6481, 3), 19442, 2]-NRT-code) (see above)
- linear OOA(95, 6481, F9, 3, 2) (dual of [(6481, 3), 19438, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(95, 7381, F9, 3, 2) (dual of [(7381, 3), 22138, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(95, 7381, F9, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
- appending kth column [i] based on linear OA(95, 7381, F9, 2) (dual of [7381, 7376, 3]-code), using
- Hamming code H(5,9) [i]
- appending kth column [i] based on linear OA(95, 7381, F9, 2) (dual of [7381, 7376, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(95, 7381, F9, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(95, 7381, F9, 3, 2) (dual of [(7381, 3), 22138, 3]-NRT-code), using
- linear OOA(915, 6481, F9, 3, 5) (dual of [(6481, 3), 19428, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(915, 12963, F9, 5) (dual of [12963, 12948, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(915, 12963, F9, 5) (dual of [12963, 12948, 6]-code), 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(9105, 5650731, F9, 3, 11) (dual of [(5650731, 3), 16952088, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(997, 5650731, F9, 3, 10) (dual of [(5650731, 3), 16952096, 11]-NRT-code) | [i] | ||