Information on Result #620781
Linear OA(1610, 85, F16, 6) (dual of [85, 75, 7]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1647, 4182, F16, 13) (dual of [4182, 4135, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1660, 131159, F16, 13) (dual of [131159, 131099, 14]-code) | [i] | ||
| 3 | Linear OA(1671, 1048662, F16, 13) (dual of [1048662, 1048591, 14]-code) | [i] | ||
| 4 | Linear OA(1666, 1048661, F16, 12) (dual of [1048661, 1048595, 13]-code) | [i] | ||
| 5 | Linear OA(1647, 4184, F16, 13) (dual of [4184, 4137, 14]-code) | [i] | ||
| 6 | Linear OA(1660, 131161, F16, 13) (dual of [131161, 131101, 14]-code) | [i] | ||
| 7 | Linear OA(1671, 1048666, F16, 13) (dual of [1048666, 1048595, 14]-code) | [i] | ||
| 8 | Linear OA(1666, 1048666, F16, 12) (dual of [1048666, 1048600, 13]-code) | [i] | ||
| 9 | Linear OOA(1610, 74, F16, 2, 6) (dual of [(74, 2), 138, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Digital (4, 10, 74)-net over F16 | [i] | ||
| 11 | Linear OA(16111, 1048616, F16, 22) (dual of [1048616, 1048505, 23]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(16106, 1048616, F16, 21) (dual of [1048616, 1048510, 22]-code) | [i] | ||
| 13 | Linear OA(16101, 1048616, F16, 20) (dual of [1048616, 1048515, 21]-code) | [i] | ||
| 14 | Linear OA(1696, 1048616, F16, 19) (dual of [1048616, 1048520, 20]-code) | [i] | ||
| 15 | Linear OA(1691, 1048616, F16, 18) (dual of [1048616, 1048525, 19]-code) | [i] | ||
| 16 | Linear OA(1686, 1048616, F16, 17) (dual of [1048616, 1048530, 18]-code) | [i] | ||
| 17 | Linear OA(16126, 1048621, F16, 25) (dual of [1048621, 1048495, 26]-code) | [i] | ||
| 18 | Linear OA(16121, 1048621, F16, 24) (dual of [1048621, 1048500, 25]-code) | [i] | ||
| 19 | Linear OA(1681, 1048621, F16, 15) (dual of [1048621, 1048540, 16]-code) | [i] | ||
| 20 | Linear OA(1676, 1048621, F16, 14) (dual of [1048621, 1048545, 15]-code) | [i] | ||
| 21 | Linear OOA(1610, 42, F16, 2, 6) (dual of [(42, 2), 74, 7]-NRT-code) | [i] | OOA Folding | |