Information on Result #617482
Linear OA(2749, 531442, F27, 13) (dual of [531442, 531393, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2755, 531470, F27, 13) (dual of [531470, 531415, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2756, 531480, F27, 13) (dual of [531480, 531424, 14]-code) | [i] | ||
| 3 | Linear OA(2757, 531490, F27, 13) (dual of [531490, 531433, 14]-code) | [i] | ||
| 4 | Linear OA(2758, 531498, F27, 13) (dual of [531498, 531440, 14]-code) | [i] | ||
| 5 | Linear OA(2759, 531547, F27, 13) (dual of [531547, 531488, 14]-code) | [i] | ||
| 6 | Linear OA(2760, 532171, F27, 13) (dual of [532171, 532111, 14]-code) | [i] | ||
| 7 | Linear OA(2759, 531498, F27, 13) (dual of [531498, 531439, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2760, 531508, F27, 13) (dual of [531508, 531448, 14]-code) | [i] | ||
| 9 | Linear OA(2755, 531449, F27, 13) (dual of [531449, 531394, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(2758, 531451, F27, 15) (dual of [531451, 531393, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2750, 531451, F27, 13) (dual of [531451, 531401, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(2768, 531461, F27, 17) (dual of [531461, 531393, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(2752, 531461, F27, 13) (dual of [531461, 531409, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2778, 531470, F27, 19) (dual of [531470, 531392, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(2779, 531472, F27, 19) (dual of [531472, 531393, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2777, 531470, F27, 18) (dual of [531470, 531393, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(2754, 531470, F27, 13) (dual of [531470, 531416, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(2755, 531472, F27, 13) (dual of [531472, 531417, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(2789, 531480, F27, 21) (dual of [531480, 531391, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(2790, 531483, F27, 21) (dual of [531483, 531393, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(2788, 531480, F27, 20) (dual of [531480, 531392, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(27100, 531490, F27, 23) (dual of [531490, 531390, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(27101, 531494, F27, 23) (dual of [531494, 531393, 24]-code) | [i] | ✔ | |