Information on Result #616314
Linear OA(1671, 1048577, F16, 15) (dual of [1048577, 1048506, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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(1678, 1048594, F16, 15) (dual of [1048594, 1048516, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1679, 1048601, F16, 15) (dual of [1048601, 1048522, 16]-code) | [i] | ||
| 3 | Linear OA(1680, 1048610, F16, 15) (dual of [1048610, 1048530, 16]-code) | [i] | ||
| 4 | Linear OA(1681, 1048615, F16, 15) (dual of [1048615, 1048534, 16]-code) | [i] | ||
| 5 | Linear OA(1682, 1048628, F16, 15) (dual of [1048628, 1048546, 16]-code) | [i] | ||
| 6 | Linear OA(1683, 1048662, F16, 15) (dual of [1048662, 1048579, 16]-code) | [i] | ||
| 7 | Linear OA(1684, 1048834, F16, 15) (dual of [1048834, 1048750, 16]-code) | [i] | ||
| 8 | Linear OA(1684, 1048592, F16, 15) (dual of [1048592, 1048508, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(1683, 1048611, F16, 15) (dual of [1048611, 1048528, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(1684, 1048618, F16, 15) (dual of [1048618, 1048534, 16]-code) | [i] | ||
| 11 | Linear OA(1677, 1048584, F16, 15) (dual of [1048584, 1048507, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(1682, 1048588, F16, 17) (dual of [1048588, 1048506, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(1672, 1048588, F16, 15) (dual of [1048588, 1048516, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(1694, 1048595, F16, 19) (dual of [1048595, 1048501, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(1695, 1048601, F16, 19) (dual of [1048601, 1048506, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(1674, 1048595, F16, 15) (dual of [1048595, 1048521, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(1675, 1048601, F16, 15) (dual of [1048601, 1048526, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(16108, 1048614, F16, 21) (dual of [1048614, 1048506, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(1678, 1048614, F16, 15) (dual of [1048614, 1048536, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(16122, 1048628, F16, 23) (dual of [1048628, 1048506, 24]-code) | [i] | ✔ | |