Information on Result #722728
Linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using the BCH-code C(I) with length 78 | 252−1, defining interval I = {10,11,…,16}, and designed minimum distance d ≥ |I|+1 = 8
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2510, 77, F25, 6) (dual of [77, 67, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(2540, 704, F25, 15) (dual of [704, 664, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2554, 15704, F25, 15) (dual of [15704, 15650, 16]-code) | [i] | ||
| 4 | Linear OA(2568, 390704, F25, 15) (dual of [390704, 390636, 16]-code) | [i] | ||
| 5 | Linear OA(2538, 703, F25, 14) (dual of [703, 665, 15]-code) | [i] | ||
| 6 | Linear OA(2551, 15703, F25, 14) (dual of [15703, 15652, 15]-code) | [i] | ||
| 7 | Linear OA(2564, 390703, F25, 14) (dual of [390703, 390639, 15]-code) | [i] | ||
| 8 | Linear OA(2540, 706, F25, 15) (dual of [706, 666, 16]-code) | [i] | ||
| 9 | Linear OA(2554, 15706, F25, 15) (dual of [15706, 15652, 16]-code) | [i] | ||
| 10 | Linear OA(2555, 15711, F25, 15) (dual of [15711, 15656, 16]-code) | [i] | ||
| 11 | Linear OA(2568, 390707, F25, 15) (dual of [390707, 390639, 16]-code) | [i] | ||
| 12 | Linear OA(2569, 390713, F25, 15) (dual of [390713, 390644, 16]-code) | [i] | ||
| 13 | Linear OA(2538, 706, F25, 14) (dual of [706, 668, 15]-code) | [i] | ||
| 14 | Linear OA(2551, 15706, F25, 14) (dual of [15706, 15655, 15]-code) | [i] | ||
| 15 | Linear OA(2552, 15710, F25, 14) (dual of [15710, 15658, 15]-code) | [i] | ||
| 16 | Linear OA(2564, 390707, F25, 14) (dual of [390707, 390643, 15]-code) | [i] | ||
| 17 | Linear OA(2565, 390712, F25, 14) (dual of [390712, 390647, 15]-code) | [i] | ||
| 18 | Linear OA(2512, 89, F25, 7) (dual of [89, 77, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 19 | Linear OA(2512, 81, F25, 7) (dual of [81, 69, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 20 | Linear OA(2513, 80, F25, 8) (dual of [80, 67, 9]-code) | [i] | ✔ | |
| 21 | Linear OOA(2511, 39, F25, 2, 7) (dual of [(39, 2), 67, 8]-NRT-code) | [i] | OOA Folding | |