Information on Result #616448
Linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(16105, 46084, F16, 2, 28) (dual of [(46084, 2), 92063, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (77, 105, 46084)-net over F16 | [i] | ||
| 3 | Linear OA(16109, 65540, F16, 29) (dual of [65540, 65431, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16105, 65540, F16, 28) (dual of [65540, 65435, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(16114, 65545, F16, 30) (dual of [65545, 65431, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(16106, 65545, F16, 28) (dual of [65545, 65439, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(16119, 65550, F16, 31) (dual of [65550, 65431, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(16107, 65550, F16, 28) (dual of [65550, 65443, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(16125, 65553, F16, 33) (dual of [65553, 65428, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(16126, 65557, F16, 33) (dual of [65557, 65431, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(16124, 65554, F16, 32) (dual of [65554, 65430, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(16108, 65554, F16, 28) (dual of [65554, 65446, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(16109, 65556, F16, 28) (dual of [65556, 65447, 29]-code) | [i] | ✔ | |
| 14 | Linear OOA(16105, 4681, F16, 28, 28) (dual of [(4681, 28), 130963, 29]-NRT-code) | [i] | OA Folding and Stacking | |