Information on Result #684947
Linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(757, 1521, F7, 2, 17) (dual of [(1521, 2), 2985, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(757, 1521, F7, 3, 17) (dual of [(1521, 3), 4506, 18]-NRT-code) | [i] | ||
| 3 | Digital (40, 57, 1521)-net over F7 | [i] | ||
| 4 | Linear OA(761, 2405, F7, 18) (dual of [2405, 2344, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(757, 2405, F7, 17) (dual of [2405, 2348, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(772, 2416, F7, 20) (dual of [2416, 2344, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(761, 2417, F7, 17) (dual of [2417, 2356, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(779, 2423, F7, 22) (dual of [2423, 2344, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(763, 2423, F7, 17) (dual of [2423, 2360, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(784, 2428, F7, 23) (dual of [2428, 2344, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(764, 2428, F7, 17) (dual of [2428, 2364, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(792, 2436, F7, 24) (dual of [2436, 2344, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(797, 2441, F7, 25) (dual of [2441, 2344, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(791, 2434, F7, 24) (dual of [2434, 2343, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(790, 2432, F7, 24) (dual of [2432, 2342, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(789, 2430, F7, 24) (dual of [2430, 2341, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(787, 2434, F7, 23) (dual of [2434, 2347, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(786, 2432, F7, 23) (dual of [2432, 2346, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(785, 2430, F7, 23) (dual of [2430, 2345, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(778, 2419, F7, 22) (dual of [2419, 2341, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(771, 2412, F7, 20) (dual of [2412, 2341, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(762, 2419, F7, 17) (dual of [2419, 2357, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(765, 2430, F7, 17) (dual of [2430, 2365, 18]-code) | [i] | ✔ | |
| 24 | Linear OOA(757, 300, F7, 17, 17) (dual of [(300, 17), 5043, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |