Information on Result #693148
Linear OA(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(2541, 282229, F25, 2, 11) (dual of [(282229, 2), 564417, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (30, 41, 282229)-net over F25 | [i] | ||
| 3 | Linear OA(2545, 390629, F25, 12) (dual of [390629, 390584, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2541, 390629, F25, 11) (dual of [390629, 390588, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(2555, 390639, F25, 14) (dual of [390639, 390584, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(2543, 390639, F25, 11) (dual of [390639, 390596, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(2565, 390649, F25, 16) (dual of [390649, 390584, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(2545, 390649, F25, 11) (dual of [390649, 390604, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(2578, 390662, F25, 18) (dual of [390662, 390584, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(2588, 390672, F25, 20) (dual of [390672, 390584, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(2599, 390683, F25, 22) (dual of [390683, 390584, 23]-code) | [i] | ✔ | |