Information on Result #721257
Linear OA(1619, 85, F16, 11) (dual of [85, 66, 12]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,22}, and designed minimum distance d ≥ |I|+1 = 12
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16125, 1048661, F16, 23) (dual of [1048661, 1048536, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16120, 1048661, F16, 22) (dual of [1048661, 1048541, 23]-code) | [i] | ||
| 3 | Linear OA(16125, 1048666, F16, 23) (dual of [1048666, 1048541, 24]-code) | [i] | ||
| 4 | Linear OA(16126, 1048672, F16, 23) (dual of [1048672, 1048546, 24]-code) | [i] | ||
| 5 | Linear OA(16120, 1048666, F16, 22) (dual of [1048666, 1048546, 23]-code) | [i] | ||
| 6 | Linear OOA(1619, 68, F16, 2, 11) (dual of [(68, 2), 117, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (8, 19, 68)-net over F16 | [i] | ||
| 8 | Linear OA(1620, 88, F16, 11) (dual of [88, 68, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(1621, 87, F16, 12) (dual of [87, 66, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(1624, 90, F16, 13) (dual of [90, 66, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(1622, 90, F16, 12) (dual of [90, 68, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(1623, 89, F16, 13) (dual of [89, 66, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(1626, 92, F16, 14) (dual of [92, 66, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(16130, 1048650, F16, 24) (dual of [1048650, 1048520, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 15 | Linear OOA(1619, 42, F16, 2, 11) (dual of [(42, 2), 65, 12]-NRT-code) | [i] | OOA Folding | |