Information on Result #618153
Linear OA(3265, 1048577, F32, 17) (dual of [1048577, 1048512, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(3273, 1048610, F32, 17) (dual of [1048610, 1048537, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3274, 1048621, F32, 17) (dual of [1048621, 1048547, 18]-code) | [i] | ||
| 3 | Linear OA(3275, 1048623, F32, 17) (dual of [1048623, 1048548, 18]-code) | [i] | ||
| 4 | Linear OA(3276, 1048641, F32, 17) (dual of [1048641, 1048565, 18]-code) | [i] | ||
| 5 | Linear OA(3277, 1048643, F32, 17) (dual of [1048643, 1048566, 18]-code) | [i] | ||
| 6 | Linear OA(3278, 1048671, F32, 17) (dual of [1048671, 1048593, 18]-code) | [i] | ||
| 7 | Linear OA(3279, 1048676, F32, 17) (dual of [1048676, 1048597, 18]-code) | [i] | ||
| 8 | Linear OA(3280, 1049601, F32, 17) (dual of [1049601, 1049521, 18]-code) | [i] | ||
| 9 | Linear OA(3280, 1048595, F32, 17) (dual of [1048595, 1048515, 18]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(3277, 1048591, F32, 17) (dual of [1048591, 1048514, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(3278, 1048643, F32, 17) (dual of [1048643, 1048565, 18]-code) | [i] | ||
| 12 | Linear OA(3279, 1048654, F32, 17) (dual of [1048654, 1048575, 18]-code) | [i] | ||
| 13 | Linear OA(3280, 1048665, F32, 17) (dual of [1048665, 1048585, 18]-code) | [i] | ||
| 14 | Linear OA(3273, 1048586, F32, 17) (dual of [1048586, 1048513, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(3274, 1048586, F32, 19) (dual of [1048586, 1048512, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(3266, 1048586, F32, 17) (dual of [1048586, 1048520, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(3284, 1048596, F32, 21) (dual of [1048596, 1048512, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3268, 1048596, F32, 17) (dual of [1048596, 1048528, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3294, 1048606, F32, 23) (dual of [1048606, 1048512, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(3270, 1048606, F32, 17) (dual of [1048606, 1048536, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(32104, 1048610, F32, 25) (dual of [1048610, 1048506, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(32105, 1048617, F32, 25) (dual of [1048617, 1048512, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(32103, 1048610, F32, 24) (dual of [1048610, 1048507, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(3272, 1048610, F32, 17) (dual of [1048610, 1048538, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(3273, 1048617, F32, 17) (dual of [1048617, 1048544, 18]-code) | [i] | ✔ | |
| 26 | Linear OOA(3265, 131072, F32, 17, 17) (dual of [(131072, 17), 2228159, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |