Information on Result #616777
Linear OA(2545, 390625, F25, 12) (dual of [390625, 390580, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2551, 390651, F25, 12) (dual of [390651, 390600, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2552, 390654, F25, 12) (dual of [390654, 390602, 13]-code) | [i] | ||
| 3 | Linear OA(2553, 390656, F25, 12) (dual of [390656, 390603, 13]-code) | [i] | ||
| 4 | Linear OA(2554, 390677, F25, 12) (dual of [390677, 390623, 13]-code) | [i] | ||
| 5 | Linear OA(2555, 390702, F25, 12) (dual of [390702, 390647, 13]-code) | [i] | ||
| 6 | Linear OOA(2545, 267112, F25, 2, 12) (dual of [(267112, 2), 534179, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (33, 45, 267112)-net over F25 | [i] | ||
| 8 | Linear OA(2554, 390635, F25, 12) (dual of [390635, 390581, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2555, 390677, F25, 12) (dual of [390677, 390622, 13]-code) | [i] | ||
| 10 | Linear OA(2549, 390629, F25, 13) (dual of [390629, 390580, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(2545, 390629, F25, 12) (dual of [390629, 390584, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2554, 390634, F25, 14) (dual of [390634, 390580, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(2546, 390634, F25, 12) (dual of [390634, 390588, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(2559, 390639, F25, 15) (dual of [390639, 390580, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(2547, 390639, F25, 12) (dual of [390639, 390592, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(2564, 390644, F25, 16) (dual of [390644, 390580, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2548, 390644, F25, 12) (dual of [390644, 390596, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(2569, 390649, F25, 17) (dual of [390649, 390580, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(2549, 390649, F25, 12) (dual of [390649, 390600, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(2574, 390651, F25, 18) (dual of [390651, 390577, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2575, 390654, F25, 18) (dual of [390654, 390579, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(2576, 390656, F25, 18) (dual of [390656, 390580, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(2550, 390651, F25, 12) (dual of [390651, 390601, 13]-code) | [i] | ✔ | |
| 24 | Linear OA(2551, 390654, F25, 12) (dual of [390654, 390603, 13]-code) | [i] | ✔ | |
| 25 | Linear OA(2552, 390656, F25, 12) (dual of [390656, 390604, 13]-code) | [i] | ✔ | |
| 26 | Linear OA(2582, 390662, F25, 19) (dual of [390662, 390580, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(2587, 390667, F25, 20) (dual of [390667, 390580, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(2592, 390672, F25, 21) (dual of [390672, 390580, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(2597, 390677, F25, 22) (dual of [390677, 390580, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(25103, 390683, F25, 23) (dual of [390683, 390580, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(25108, 390688, F25, 24) (dual of [390688, 390580, 25]-code) | [i] | ✔ | |
| 32 | Linear OOA(2545, 65104, F25, 12, 12) (dual of [(65104, 12), 781203, 13]-NRT-code) | [i] | OA Folding and Stacking | |