Information on Result #617414
Linear OA(2725, 531442, F27, 7) (dual of [531442, 531417, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(2728, 531470, F27, 7) (dual of [531470, 531442, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2729, 532172, F27, 7) (dual of [532172, 532143, 8]-code) | [i] | ||
| 3 | Linear OA(2730, 533150, F27, 7) (dual of [533150, 533120, 8]-code) | [i] | ||
| 4 | Linear OA(2730, 531498, F27, 7) (dual of [531498, 531468, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(2728, 531446, F27, 7) (dual of [531446, 531418, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2734, 531451, F27, 9) (dual of [531451, 531417, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2726, 531451, F27, 7) (dual of [531451, 531425, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(2744, 531461, F27, 11) (dual of [531461, 531417, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2754, 531470, F27, 13) (dual of [531470, 531416, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(2755, 531472, F27, 13) (dual of [531472, 531417, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(2734, 531452, F27, 9) (dual of [531452, 531418, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OA(2726, 531452, F27, 7) (dual of [531452, 531426, 8]-code) | [i] | ✔ | |