Information on Result #617582
Linear OA(2781, 531442, F27, 21) (dual of [531442, 531361, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, 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(2791, 531470, F27, 21) (dual of [531470, 531379, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2792, 531480, F27, 21) (dual of [531480, 531388, 22]-code) | [i] | ||
| 3 | Linear OA(2793, 531490, F27, 21) (dual of [531490, 531397, 22]-code) | [i] | ||
| 4 | Linear OA(2794, 531494, F27, 21) (dual of [531494, 531400, 22]-code) | [i] | ||
| 5 | Linear OA(2795, 531506, F27, 21) (dual of [531506, 531411, 22]-code) | [i] | ||
| 6 | Linear OA(2796, 531510, F27, 21) (dual of [531510, 531414, 22]-code) | [i] | ||
| 7 | Linear OA(2797, 531518, F27, 21) (dual of [531518, 531421, 22]-code) | [i] | ||
| 8 | Linear OA(2798, 531547, F27, 21) (dual of [531547, 531449, 22]-code) | [i] | ||
| 9 | Linear OA(2799, 531625, F27, 21) (dual of [531625, 531526, 22]-code) | [i] | ||
| 10 | Linear OA(27100, 532171, F27, 21) (dual of [532171, 532071, 22]-code) | [i] | ||
| 11 | Linear OA(27100, 531463, F27, 21) (dual of [531463, 531363, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2797, 531460, F27, 21) (dual of [531460, 531363, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(2798, 531498, F27, 21) (dual of [531498, 531400, 22]-code) | [i] | ||
| 14 | Linear OA(2799, 531508, F27, 21) (dual of [531508, 531409, 22]-code) | [i] | ||
| 15 | Linear OA(27100, 531518, F27, 21) (dual of [531518, 531418, 22]-code) | [i] | ||
| 16 | Linear OA(2791, 531453, F27, 21) (dual of [531453, 531362, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(2790, 531451, F27, 23) (dual of [531451, 531361, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2782, 531451, F27, 21) (dual of [531451, 531369, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(27100, 531461, F27, 25) (dual of [531461, 531361, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(2784, 531461, F27, 21) (dual of [531461, 531377, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(27110, 531470, F27, 27) (dual of [531470, 531360, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(27109, 531470, F27, 26) (dual of [531470, 531361, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(2786, 531470, F27, 21) (dual of [531470, 531384, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(2787, 531472, F27, 21) (dual of [531472, 531385, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(2785, 531470, F27, 20) (dual of [531470, 531385, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(2789, 531480, F27, 21) (dual of [531480, 531391, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(2790, 531483, F27, 21) (dual of [531483, 531393, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(2788, 531480, F27, 20) (dual of [531480, 531392, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(2792, 531490, F27, 21) (dual of [531490, 531398, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(2793, 531494, F27, 21) (dual of [531494, 531401, 22]-code) | [i] | ✔ | |