Information on Result #616409
Linear OA(1689, 65536, F16, 24) (dual of [65536, 65447, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(1689, 39547, F16, 2, 24) (dual of [(39547, 2), 79005, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (65, 89, 39547)-net over F16 | [i] | ||
| 3 | Linear OA(1693, 65540, F16, 25) (dual of [65540, 65447, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1689, 65540, F16, 24) (dual of [65540, 65451, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(1698, 65545, F16, 26) (dual of [65545, 65447, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(1690, 65545, F16, 24) (dual of [65545, 65455, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(16103, 65550, F16, 27) (dual of [65550, 65447, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(1691, 65550, F16, 24) (dual of [65550, 65459, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(16108, 65554, F16, 28) (dual of [65554, 65446, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(16109, 65556, F16, 28) (dual of [65556, 65447, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(1692, 65554, F16, 24) (dual of [65554, 65462, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(1693, 65556, F16, 24) (dual of [65556, 65463, 25]-code) | [i] | ✔ | |
| 13 | Linear OOA(1689, 5461, F16, 24, 24) (dual of [(5461, 24), 130975, 25]-NRT-code) | [i] | OA Folding and Stacking | |