Information on Result #618132
Linear OA(3257, 1048577, F32, 15) (dual of [1048577, 1048520, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, 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(3264, 1048610, F32, 15) (dual of [1048610, 1048546, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3265, 1048621, F32, 15) (dual of [1048621, 1048556, 16]-code) | [i] | ||
| 3 | Linear OA(3266, 1048623, F32, 15) (dual of [1048623, 1048557, 16]-code) | [i] | ||
| 4 | Linear OA(3267, 1048641, F32, 15) (dual of [1048641, 1048574, 16]-code) | [i] | ||
| 5 | Linear OA(3268, 1048671, F32, 15) (dual of [1048671, 1048603, 16]-code) | [i] | ||
| 6 | Linear OA(3269, 1048676, F32, 15) (dual of [1048676, 1048607, 16]-code) | [i] | ||
| 7 | Linear OA(3270, 1049602, F32, 15) (dual of [1049602, 1049532, 16]-code) | [i] | ||
| 8 | Linear OA(3267, 1048643, F32, 15) (dual of [1048643, 1048576, 16]-code) | [i] | ||
| 9 | Linear OA(3270, 1048592, F32, 15) (dual of [1048592, 1048522, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3269, 1048643, F32, 15) (dual of [1048643, 1048574, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3270, 1048654, F32, 15) (dual of [1048654, 1048584, 16]-code) | [i] | ||
| 12 | Linear OA(3263, 1048584, F32, 15) (dual of [1048584, 1048521, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(3266, 1048586, F32, 17) (dual of [1048586, 1048520, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(3258, 1048586, F32, 15) (dual of [1048586, 1048528, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(3276, 1048596, F32, 19) (dual of [1048596, 1048520, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(3260, 1048596, F32, 15) (dual of [1048596, 1048536, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(3286, 1048606, F32, 21) (dual of [1048606, 1048520, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3262, 1048606, F32, 15) (dual of [1048606, 1048544, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(3296, 1048610, F32, 23) (dual of [1048610, 1048514, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(3297, 1048617, F32, 23) (dual of [1048617, 1048520, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(3295, 1048610, F32, 22) (dual of [1048610, 1048515, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(32107, 1048621, F32, 25) (dual of [1048621, 1048514, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(32108, 1048623, F32, 25) (dual of [1048623, 1048515, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(32109, 1048629, F32, 25) (dual of [1048629, 1048520, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(32106, 1048621, F32, 24) (dual of [1048621, 1048515, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(32107, 1048623, F32, 24) (dual of [1048623, 1048516, 25]-code) | [i] | ✔ | |