Information on Result #618195
Linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3291, 1048610, F32, 21) (dual of [1048610, 1048519, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3292, 1048621, F32, 21) (dual of [1048621, 1048529, 22]-code) | [i] | ||
| 3 | Linear OA(3293, 1048623, F32, 21) (dual of [1048623, 1048530, 22]-code) | [i] | ||
| 4 | Linear OA(3294, 1048641, F32, 21) (dual of [1048641, 1048547, 22]-code) | [i] | ||
| 5 | Linear OA(3295, 1048643, F32, 21) (dual of [1048643, 1048548, 22]-code) | [i] | ||
| 6 | Linear OA(3296, 1048653, F32, 21) (dual of [1048653, 1048557, 22]-code) | [i] | ||
| 7 | Linear OA(3297, 1048671, F32, 21) (dual of [1048671, 1048574, 22]-code) | [i] | ||
| 8 | Linear OA(3298, 1048675, F32, 21) (dual of [1048675, 1048577, 22]-code) | [i] | ||
| 9 | Linear OA(3299, 1048677, F32, 21) (dual of [1048677, 1048578, 22]-code) | [i] | ||
| 10 | Linear OA(32100, 1049601, F32, 21) (dual of [1049601, 1049501, 22]-code) | [i] | ||
| 11 | Linear OA(32100, 1048598, F32, 21) (dual of [1048598, 1048498, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(3297, 1048595, F32, 21) (dual of [1048595, 1048498, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(3298, 1048643, F32, 21) (dual of [1048643, 1048545, 22]-code) | [i] | ||
| 14 | Linear OA(3299, 1048654, F32, 21) (dual of [1048654, 1048555, 22]-code) | [i] | ||
| 15 | Linear OA(32100, 1048665, F32, 21) (dual of [1048665, 1048565, 22]-code) | [i] | ||
| 16 | Linear OA(3291, 1048588, F32, 21) (dual of [1048588, 1048497, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(3290, 1048586, F32, 23) (dual of [1048586, 1048496, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(32100, 1048596, F32, 25) (dual of [1048596, 1048496, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(3284, 1048596, F32, 21) (dual of [1048596, 1048512, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(32110, 1048606, F32, 27) (dual of [1048606, 1048496, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(3286, 1048606, F32, 21) (dual of [1048606, 1048520, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(3288, 1048610, F32, 21) (dual of [1048610, 1048522, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(3289, 1048617, F32, 21) (dual of [1048617, 1048528, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(3287, 1048610, F32, 20) (dual of [1048610, 1048523, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(3291, 1048621, F32, 21) (dual of [1048621, 1048530, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(3292, 1048623, F32, 21) (dual of [1048623, 1048531, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(3293, 1048629, F32, 21) (dual of [1048629, 1048536, 22]-code) | [i] | ✔ | |