Information on Result #616251
Linear OA(1646, 1048576, F16, 10) (dual of [1048576, 1048530, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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 OA(1651, 1048593, F16, 10) (dual of [1048593, 1048542, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1652, 1048600, F16, 10) (dual of [1048600, 1048548, 11]-code) | [i] | ||
| 3 | Linear OA(1653, 1048817, F16, 10) (dual of [1048817, 1048764, 11]-code) | [i] | ||
| 4 | Linear OA(1654, 1048585, F16, 10) (dual of [1048585, 1048531, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OA(1653, 1048584, F16, 10) (dual of [1048584, 1048531, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(1654, 1048610, F16, 10) (dual of [1048610, 1048556, 11]-code) | [i] | ||
| 7 | Linear OA(1651, 1048581, F16, 11) (dual of [1048581, 1048530, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(1646, 1048581, F16, 10) (dual of [1048581, 1048535, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(1657, 1048587, F16, 12) (dual of [1048587, 1048530, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(1647, 1048587, F16, 10) (dual of [1048587, 1048540, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(1663, 1048593, F16, 13) (dual of [1048593, 1048530, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(1648, 1048593, F16, 10) (dual of [1048593, 1048545, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(1670, 1048600, F16, 14) (dual of [1048600, 1048530, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(1650, 1048600, F16, 10) (dual of [1048600, 1048550, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(1677, 1048607, F16, 15) (dual of [1048607, 1048530, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(1652, 1048607, F16, 10) (dual of [1048607, 1048555, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(1685, 1048614, F16, 17) (dual of [1048614, 1048529, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(1686, 1048616, F16, 17) (dual of [1048616, 1048530, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(1683, 1048613, F16, 16) (dual of [1048613, 1048530, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(1692, 1048622, F16, 18) (dual of [1048622, 1048530, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(1699, 1048627, F16, 19) (dual of [1048627, 1048528, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(16100, 1048630, F16, 19) (dual of [1048630, 1048530, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(16106, 1048636, F16, 20) (dual of [1048636, 1048530, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(1699, 1048629, F16, 19) (dual of [1048629, 1048530, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(1671, 1048602, F16, 14) (dual of [1048602, 1048531, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(1651, 1048602, F16, 10) (dual of [1048602, 1048551, 11]-code) | [i] | ✔ | |
| 27 | Linear OA(1647, 1048588, F16, 10) (dual of [1048588, 1048541, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |