Information on Result #693151
Linear OA(2533, 390625, F25, 9) (dual of [390625, 390592, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(2533, 346168, F25, 2, 9) (dual of [(346168, 2), 692303, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (24, 33, 346168)-net over F25 | [i] | ||
| 3 | Linear OA(2537, 390629, F25, 10) (dual of [390629, 390592, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2533, 390629, F25, 9) (dual of [390629, 390596, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(2547, 390639, F25, 12) (dual of [390639, 390592, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(2535, 390639, F25, 9) (dual of [390639, 390604, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(2557, 390649, F25, 14) (dual of [390649, 390592, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(2570, 390662, F25, 16) (dual of [390662, 390592, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(2580, 390672, F25, 18) (dual of [390672, 390592, 19]-code) | [i] | ✔ | |