Information on Result #615562
Linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, 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(967, 531451, F9, 12) (dual of [531451, 531384, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(961, 300839, F9, 2, 12) (dual of [(300839, 2), 601617, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(961, 300839, F9, 3, 12) (dual of [(300839, 3), 902456, 13]-NRT-code) | [i] | ||
| 4 | Digital (49, 61, 300839)-net over F9 | [i] | ||
| 5 | Linear OA(967, 531447, F9, 13) (dual of [531447, 531380, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(961, 531447, F9, 12) (dual of [531447, 531386, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(974, 531454, F9, 14) (dual of [531454, 531380, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(962, 531454, F9, 12) (dual of [531454, 531392, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(982, 531462, F9, 15) (dual of [531462, 531380, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(965, 531463, F9, 12) (dual of [531463, 531398, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(989, 531469, F9, 16) (dual of [531469, 531380, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(967, 531471, F9, 12) (dual of [531471, 531404, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(997, 531477, F9, 17) (dual of [531477, 531380, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(9107, 531482, F9, 19) (dual of [531482, 531375, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(9108, 531488, F9, 19) (dual of [531488, 531380, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(9107, 531483, F9, 19) (dual of [531483, 531376, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(9115, 531495, F9, 20) (dual of [531495, 531380, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(9107, 531486, F9, 19) (dual of [531486, 531379, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(9107, 531487, F9, 19) (dual of [531487, 531380, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(996, 531471, F9, 17) (dual of [531471, 531375, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(990, 531471, F9, 16) (dual of [531471, 531381, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(981, 531456, F9, 15) (dual of [531456, 531375, 16]-code) | [i] | ✔ | |
| 23 | Linear OA(975, 531456, F9, 14) (dual of [531456, 531381, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(966, 531465, F9, 12) (dual of [531465, 531399, 13]-code) | [i] | ✔ | |
| 25 | Linear OA(962, 531455, F9, 12) (dual of [531455, 531393, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |