Information on Result #618216
Linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(32100, 1048610, F32, 23) (dual of [1048610, 1048510, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32101, 1048621, F32, 23) (dual of [1048621, 1048520, 24]-code) | [i] | ||
| 3 | Linear OA(32102, 1048623, F32, 23) (dual of [1048623, 1048521, 24]-code) | [i] | ||
| 4 | Linear OA(32103, 1048641, F32, 23) (dual of [1048641, 1048538, 24]-code) | [i] | ||
| 5 | Linear OA(32104, 1048643, F32, 23) (dual of [1048643, 1048539, 24]-code) | [i] | ||
| 6 | Linear OA(32105, 1048653, F32, 23) (dual of [1048653, 1048548, 24]-code) | [i] | ||
| 7 | Linear OA(32106, 1048655, F32, 23) (dual of [1048655, 1048549, 24]-code) | [i] | ||
| 8 | Linear OA(32107, 1048675, F32, 23) (dual of [1048675, 1048568, 24]-code) | [i] | ||
| 9 | Linear OA(32108, 1048677, F32, 23) (dual of [1048677, 1048569, 24]-code) | [i] | ||
| 10 | Linear OA(32109, 1048687, F32, 23) (dual of [1048687, 1048578, 24]-code) | [i] | ||
| 11 | Linear OA(32110, 1049602, F32, 23) (dual of [1049602, 1049492, 24]-code) | [i] | ||
| 12 | Linear OA(32110, 1048601, F32, 23) (dual of [1048601, 1048491, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(32108, 1048598, F32, 23) (dual of [1048598, 1048490, 24]-code) | [i] | ||
| 14 | Linear OA(32109, 1048601, F32, 23) (dual of [1048601, 1048492, 24]-code) | [i] | ||
| 15 | Linear OA(32110, 1048604, F32, 23) (dual of [1048604, 1048494, 24]-code) | [i] | ||
| 16 | Linear OA(32105, 1048595, F32, 23) (dual of [1048595, 1048490, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(32106, 1048597, F32, 23) (dual of [1048597, 1048491, 24]-code) | [i] | ||
| 18 | Linear OA(32107, 1048643, F32, 23) (dual of [1048643, 1048536, 24]-code) | [i] | ||
| 19 | Linear OA(32108, 1048654, F32, 23) (dual of [1048654, 1048546, 24]-code) | [i] | ||
| 20 | Linear OA(32109, 1048665, F32, 23) (dual of [1048665, 1048556, 24]-code) | [i] | ||
| 21 | Linear OA(32110, 1048667, F32, 23) (dual of [1048667, 1048557, 24]-code) | [i] | ||
| 22 | Linear OA(32110, 1048674, F32, 23) (dual of [1048674, 1048564, 24]-code) | [i] | ||
| 23 | Linear OA(3299, 1048588, F32, 23) (dual of [1048588, 1048489, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 24 | Linear OA(3298, 1048586, F32, 25) (dual of [1048586, 1048488, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(3290, 1048586, F32, 23) (dual of [1048586, 1048496, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(32108, 1048596, F32, 27) (dual of [1048596, 1048488, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(3292, 1048596, F32, 23) (dual of [1048596, 1048504, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(3294, 1048606, F32, 23) (dual of [1048606, 1048512, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(3296, 1048610, F32, 23) (dual of [1048610, 1048514, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(3297, 1048617, F32, 23) (dual of [1048617, 1048520, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(3295, 1048610, F32, 22) (dual of [1048610, 1048515, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(3299, 1048621, F32, 23) (dual of [1048621, 1048522, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(32100, 1048623, F32, 23) (dual of [1048623, 1048523, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(32101, 1048629, F32, 23) (dual of [1048629, 1048528, 24]-code) | [i] | ✔ | |