Information on Result #691572
Linear OA(1671, 1048576, F16, 15) (dual of [1048576, 1048505, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1677, 1048582, F16, 17) (dual of [1048582, 1048505, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(1671, 1048581, F16, 15) (dual of [1048581, 1048510, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(1683, 1048588, F16, 18) (dual of [1048588, 1048505, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(1689, 1048594, F16, 19) (dual of [1048594, 1048505, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(1673, 1048593, F16, 15) (dual of [1048593, 1048520, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(1696, 1048600, F16, 20) (dual of [1048600, 1048504, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(1697, 1048602, F16, 20) (dual of [1048602, 1048505, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(16103, 1048608, F16, 21) (dual of [1048608, 1048505, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(1677, 1048607, F16, 15) (dual of [1048607, 1048530, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(16110, 1048614, F16, 22) (dual of [1048614, 1048504, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(16111, 1048616, F16, 22) (dual of [1048616, 1048505, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(16117, 1048622, F16, 23) (dual of [1048622, 1048505, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(1681, 1048621, F16, 15) (dual of [1048621, 1048540, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(16124, 1048627, F16, 24) (dual of [1048627, 1048503, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(16125, 1048630, F16, 24) (dual of [1048630, 1048505, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(16124, 1048629, F16, 24) (dual of [1048629, 1048505, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(1696, 1048601, F16, 20) (dual of [1048601, 1048505, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(16102, 1048603, F16, 21) (dual of [1048603, 1048501, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(1672, 1048593, F16, 14) (dual of [1048593, 1048521, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |