Information on Result #616818
Linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(2569, 390651, F25, 16) (dual of [390651, 390582, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2570, 390654, F25, 16) (dual of [390654, 390584, 17]-code) | [i] | ||
| 3 | Linear OA(2571, 390656, F25, 16) (dual of [390656, 390585, 17]-code) | [i] | ||
| 4 | Linear OA(2572, 390677, F25, 16) (dual of [390677, 390605, 17]-code) | [i] | ||
| 5 | Linear OA(2573, 390691, F25, 16) (dual of [390691, 390618, 17]-code) | [i] | ||
| 6 | Linear OA(2574, 390703, F25, 16) (dual of [390703, 390629, 17]-code) | [i] | ||
| 7 | Linear OA(2575, 390728, F25, 16) (dual of [390728, 390653, 17]-code) | [i] | ||
| 8 | Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OOA(2561, 246835, F25, 2, 16) (dual of [(246835, 2), 493609, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 10 | Digital (45, 61, 246835)-net over F25 | [i] | ||
| 11 | Linear OA(2572, 390637, F25, 16) (dual of [390637, 390565, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(2573, 390639, F25, 16) (dual of [390639, 390566, 17]-code) | [i] | ||
| 13 | Linear OA(2574, 390677, F25, 16) (dual of [390677, 390603, 17]-code) | [i] | ||
| 14 | Linear OA(2575, 390680, F25, 16) (dual of [390680, 390605, 17]-code) | [i] | ||
| 15 | Linear OA(2565, 390629, F25, 17) (dual of [390629, 390564, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2570, 390634, F25, 18) (dual of [390634, 390564, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2562, 390634, F25, 16) (dual of [390634, 390572, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(2575, 390639, F25, 19) (dual of [390639, 390564, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2563, 390639, F25, 16) (dual of [390639, 390576, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(2580, 390644, F25, 20) (dual of [390644, 390564, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(2564, 390644, F25, 16) (dual of [390644, 390580, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(2585, 390649, F25, 21) (dual of [390649, 390564, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(2565, 390649, F25, 16) (dual of [390649, 390584, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(2590, 390651, F25, 22) (dual of [390651, 390561, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(2591, 390654, F25, 22) (dual of [390654, 390563, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(2592, 390656, F25, 22) (dual of [390656, 390564, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(2566, 390651, F25, 16) (dual of [390651, 390585, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(2567, 390654, F25, 16) (dual of [390654, 390587, 17]-code) | [i] | ✔ | |
| 30 | Linear OA(2568, 390656, F25, 16) (dual of [390656, 390588, 17]-code) | [i] | ✔ | |
| 31 | Linear OA(2598, 390662, F25, 23) (dual of [390662, 390564, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(2570, 390662, F25, 16) (dual of [390662, 390592, 17]-code) | [i] | ✔ | |
| 33 | Linear OA(25103, 390667, F25, 24) (dual of [390667, 390564, 25]-code) | [i] | ✔ | |
| 34 | Linear OA(2571, 390667, F25, 16) (dual of [390667, 390596, 17]-code) | [i] | ✔ | |
| 35 | Linear OA(25109, 390673, F25, 26) (dual of [390673, 390564, 27]-code) | [i] | ✔ | |
| 36 | Linear OOA(2561, 48828, F25, 16, 16) (dual of [(48828, 16), 781187, 17]-NRT-code) | [i] | OA Folding and Stacking | |