Information on Result #616416
Linear OA(1693, 65536, F16, 25) (dual of [65536, 65443, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(1693, 41183, F16, 2, 25) (dual of [(41183, 2), 82273, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (68, 93, 41183)-net over F16 | [i] | ||
| 3 | Linear OA(1697, 65540, F16, 26) (dual of [65540, 65443, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1693, 65540, F16, 25) (dual of [65540, 65447, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(16102, 65545, F16, 27) (dual of [65545, 65443, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(1694, 65545, F16, 25) (dual of [65545, 65451, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(16107, 65550, F16, 28) (dual of [65550, 65443, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(1695, 65550, F16, 25) (dual of [65550, 65455, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(16112, 65554, F16, 29) (dual of [65554, 65442, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(16113, 65556, F16, 29) (dual of [65556, 65443, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(1696, 65554, F16, 25) (dual of [65554, 65458, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(1697, 65556, F16, 25) (dual of [65556, 65459, 26]-code) | [i] | ✔ | |
| 13 | Linear OOA(1693, 5461, F16, 25, 25) (dual of [(5461, 25), 136432, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |