Information on Result #721242
Linear OA(1613, 53, F16, 8) (dual of [53, 40, 9]-code), using construction X applied to C([13,20]) ⊂ C([14,20]) based on
- linear OA(1613, 51, F16, 8) (dual of [51, 38, 9]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {13,14,…,20}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {14,15,…,20}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(1659, 4149, F16, 17) (dual of [4149, 4090, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1689, 1048629, F16, 17) (dual of [1048629, 1048540, 18]-code) | [i] | ||
| 3 | Linear OA(16124, 1048629, F16, 24) (dual of [1048629, 1048505, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(16119, 1048629, F16, 23) (dual of [1048629, 1048510, 24]-code) | [i] | ||
| 5 | Linear OA(16114, 1048629, F16, 22) (dual of [1048629, 1048515, 23]-code) | [i] | ||
| 6 | Linear OA(16109, 1048629, F16, 21) (dual of [1048629, 1048520, 22]-code) | [i] | ||
| 7 | Linear OA(16104, 1048629, F16, 20) (dual of [1048629, 1048525, 21]-code) | [i] | ||
| 8 | Linear OA(1699, 1048629, F16, 19) (dual of [1048629, 1048530, 20]-code) | [i] | ||
| 9 | Linear OA(1694, 1048629, F16, 18) (dual of [1048629, 1048535, 19]-code) | [i] | ||
| 10 | Linear OOA(1613, 26, F16, 2, 8) (dual of [(26, 2), 39, 9]-NRT-code) | [i] | OOA Folding | |