Information on Result #616428
Linear OA(1697, 65536, F16, 26) (dual of [65536, 65439, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(1697, 42818, F16, 2, 26) (dual of [(42818, 2), 85539, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (71, 97, 42818)-net over F16 | [i] | ||
| 3 | Linear OA(16101, 65540, F16, 27) (dual of [65540, 65439, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(1697, 65540, F16, 26) (dual of [65540, 65443, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(16106, 65545, F16, 28) (dual of [65545, 65439, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(1698, 65545, F16, 26) (dual of [65545, 65447, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(16111, 65550, F16, 29) (dual of [65550, 65439, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(1699, 65550, F16, 26) (dual of [65550, 65451, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(16116, 65554, F16, 30) (dual of [65554, 65438, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(16117, 65556, F16, 30) (dual of [65556, 65439, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(16100, 65554, F16, 26) (dual of [65554, 65454, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(16101, 65556, F16, 26) (dual of [65556, 65455, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(16129, 65568, F16, 33) (dual of [65568, 65439, 34]-code) | [i] | ✔ | |
| 14 | Linear OOA(1697, 5041, F16, 26, 26) (dual of [(5041, 26), 130969, 27]-NRT-code) | [i] | OA Folding and Stacking | |