Information on Result #721244
Linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-code), using the BCH-code C(I) with length 51 | 162−1, defining interval I = {14,15,…,20}, and designed minimum distance d ≥ |I|+1 = 8
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(1641, 565, F16, 15) (dual of [565, 524, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1654, 4148, F16, 15) (dual of [4148, 4094, 16]-code) | [i] | ||
| 3 | Linear OA(1669, 131125, F16, 15) (dual of [131125, 131056, 16]-code) | [i] | ||
| 4 | Linear OA(1682, 1048628, F16, 15) (dual of [1048628, 1048546, 16]-code) | [i] | ||
| 5 | Linear OA(1651, 4147, F16, 14) (dual of [4147, 4096, 15]-code) | [i] | ||
| 6 | Linear OA(1665, 131123, F16, 14) (dual of [131123, 131058, 15]-code) | [i] | ||
| 7 | Linear OA(1677, 1048627, F16, 14) (dual of [1048627, 1048550, 15]-code) | [i] | ||
| 8 | Linear OA(1654, 4150, F16, 15) (dual of [4150, 4096, 16]-code) | [i] | ||
| 9 | Linear OA(1669, 131127, F16, 15) (dual of [131127, 131058, 16]-code) | [i] | ||
| 10 | Linear OA(1682, 1048632, F16, 15) (dual of [1048632, 1048550, 16]-code) | [i] | ||
| 11 | Linear OA(1651, 4150, F16, 14) (dual of [4150, 4099, 15]-code) | [i] | ||
| 12 | Linear OA(1665, 131127, F16, 14) (dual of [131127, 131062, 15]-code) | [i] | ||
| 13 | Linear OA(1677, 1048632, F16, 14) (dual of [1048632, 1048555, 15]-code) | [i] | ||
| 14 | Linear OA(16122, 1048628, F16, 23) (dual of [1048628, 1048506, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 15 | Linear OA(1613, 53, F16, 8) (dual of [53, 40, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(16117, 1048622, F16, 23) (dual of [1048622, 1048505, 24]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 17 | Linear OA(16112, 1048622, F16, 22) (dual of [1048622, 1048510, 23]-code) | [i] | ||
| 18 | Linear OA(16107, 1048622, F16, 21) (dual of [1048622, 1048515, 22]-code) | [i] | ||
| 19 | Linear OA(16102, 1048622, F16, 20) (dual of [1048622, 1048520, 21]-code) | [i] | ||
| 20 | Linear OA(1697, 1048622, F16, 19) (dual of [1048622, 1048525, 20]-code) | [i] | ||
| 21 | Linear OA(1692, 1048622, F16, 18) (dual of [1048622, 1048530, 19]-code) | [i] | ||
| 22 | Linear OA(1687, 1048622, F16, 17) (dual of [1048622, 1048535, 18]-code) | [i] | ||
| 23 | Linear OA(16127, 1048627, F16, 25) (dual of [1048627, 1048500, 26]-code) | [i] | ||
| 24 | Linear OA(1687, 1048627, F16, 16) (dual of [1048627, 1048540, 17]-code) | [i] | ||
| 25 | Linear OOA(1611, 25, F16, 2, 7) (dual of [(25, 2), 39, 8]-NRT-code) | [i] | OOA Folding | |