Information on Result #615592
Linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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 OOA(973, 351333, F9, 2, 14) (dual of [(351333, 2), 702593, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 351333, F9, 3, 14) (dual of [(351333, 3), 1053926, 15]-NRT-code) | [i] | ||
| 3 | Digital (59, 73, 351333)-net over F9 | [i] | ||
| 4 | Linear OA(979, 531447, F9, 15) (dual of [531447, 531368, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(973, 531447, F9, 14) (dual of [531447, 531374, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(986, 531454, F9, 16) (dual of [531454, 531368, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(974, 531454, F9, 14) (dual of [531454, 531380, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(994, 531462, F9, 17) (dual of [531462, 531368, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(976, 531462, F9, 14) (dual of [531462, 531386, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(9103, 531471, F9, 19) (dual of [531471, 531368, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(9101, 531469, F9, 18) (dual of [531469, 531368, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(977, 531469, F9, 14) (dual of [531469, 531392, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(9119, 531482, F9, 21) (dual of [531482, 531363, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(9120, 531488, F9, 21) (dual of [531488, 531368, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(9119, 531483, F9, 21) (dual of [531483, 531364, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(9127, 531495, F9, 22) (dual of [531495, 531368, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(9119, 531486, F9, 21) (dual of [531486, 531367, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(9119, 531487, F9, 21) (dual of [531487, 531368, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(9102, 531465, F9, 19) (dual of [531465, 531363, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(9102, 531471, F9, 18) (dual of [531471, 531369, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(993, 531456, F9, 17) (dual of [531456, 531363, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(987, 531456, F9, 16) (dual of [531456, 531369, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(975, 531456, F9, 14) (dual of [531456, 531381, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(979, 531472, F9, 14) (dual of [531472, 531393, 15]-code) | [i] | ✔ | |