Information on Result #616758
Linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(2542, 390651, F25, 10) (dual of [390651, 390609, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2543, 390654, F25, 10) (dual of [390654, 390611, 11]-code) | [i] | ||
| 3 | Linear OA(2544, 391226, F25, 10) (dual of [391226, 391182, 11]-code) | [i] | ||
| 4 | Linear OA(2545, 390634, F25, 10) (dual of [390634, 390589, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OOA(2537, 306340, F25, 2, 10) (dual of [(306340, 2), 612643, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (27, 37, 306340)-net over F25 | [i] | ||
| 7 | Linear OA(2544, 390633, F25, 10) (dual of [390633, 390589, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2545, 390677, F25, 10) (dual of [390677, 390632, 11]-code) | [i] | ||
| 9 | Linear OA(2541, 390629, F25, 11) (dual of [390629, 390588, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(2537, 390629, F25, 10) (dual of [390629, 390592, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(2546, 390634, F25, 12) (dual of [390634, 390588, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2538, 390634, F25, 10) (dual of [390634, 390596, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(2551, 390639, F25, 13) (dual of [390639, 390588, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2539, 390639, F25, 10) (dual of [390639, 390600, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(2556, 390644, F25, 14) (dual of [390644, 390588, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2540, 390644, F25, 10) (dual of [390644, 390604, 11]-code) | [i] | ✔ | |
| 17 | Linear OA(2561, 390649, F25, 15) (dual of [390649, 390588, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(2541, 390649, F25, 10) (dual of [390649, 390608, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(2566, 390651, F25, 16) (dual of [390651, 390585, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(2567, 390654, F25, 16) (dual of [390654, 390587, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(2568, 390656, F25, 16) (dual of [390656, 390588, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(2574, 390662, F25, 17) (dual of [390662, 390588, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(2579, 390667, F25, 18) (dual of [390667, 390588, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(2584, 390672, F25, 19) (dual of [390672, 390588, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(2589, 390677, F25, 20) (dual of [390677, 390588, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(2550, 390639, F25, 12) (dual of [390639, 390589, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 27 | Linear OOA(2537, 78125, F25, 10, 10) (dual of [(78125, 10), 781213, 11]-NRT-code) | [i] | OA Folding and Stacking | |