Information on Result #617436
Linear OA(2733, 531442, F27, 9) (dual of [531442, 531409, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(2737, 531470, F27, 9) (dual of [531470, 531433, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2738, 531480, F27, 9) (dual of [531480, 531442, 10]-code) | [i] | ||
| 3 | Linear OA(2739, 532144, F27, 9) (dual of [532144, 532105, 10]-code) | [i] | ||
| 4 | Linear OA(2740, 532171, F27, 9) (dual of [532171, 532131, 10]-code) | [i] | ||
| 5 | Linear OA(2740, 531498, F27, 9) (dual of [531498, 531458, 10]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(2737, 531447, F27, 9) (dual of [531447, 531410, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2742, 531451, F27, 11) (dual of [531451, 531409, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(2734, 531451, F27, 9) (dual of [531451, 531417, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(2752, 531461, F27, 13) (dual of [531461, 531409, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2736, 531461, F27, 9) (dual of [531461, 531425, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(2762, 531470, F27, 15) (dual of [531470, 531408, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(2763, 531472, F27, 15) (dual of [531472, 531409, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2773, 531480, F27, 17) (dual of [531480, 531407, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(2774, 531483, F27, 17) (dual of [531483, 531409, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(2734, 531452, F27, 9) (dual of [531452, 531418, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |