Information on Result #615620
Linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, 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 OOA(985, 401619, F9, 2, 16) (dual of [(401619, 2), 803153, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(985, 401619, F9, 3, 16) (dual of [(401619, 3), 1204772, 17]-NRT-code) | [i] | ||
| 3 | Digital (69, 85, 401619)-net over F9 | [i] | ||
| 4 | Linear OA(991, 531447, F9, 17) (dual of [531447, 531356, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(985, 531447, F9, 16) (dual of [531447, 531362, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(998, 531454, F9, 18) (dual of [531454, 531356, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(999, 531451, F9, 19) (dual of [531451, 531352, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(9100, 531456, F9, 19) (dual of [531456, 531356, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(986, 531454, F9, 16) (dual of [531454, 531368, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(9107, 531463, F9, 20) (dual of [531463, 531356, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(988, 531462, F9, 16) (dual of [531462, 531374, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(9115, 531471, F9, 21) (dual of [531471, 531356, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(989, 531469, F9, 16) (dual of [531469, 531380, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(991, 531477, F9, 16) (dual of [531477, 531386, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(9131, 531482, F9, 23) (dual of [531482, 531351, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(9132, 531488, F9, 23) (dual of [531488, 531356, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(9131, 531483, F9, 23) (dual of [531483, 531352, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(9139, 531495, F9, 24) (dual of [531495, 531356, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(9131, 531486, F9, 23) (dual of [531486, 531355, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(9114, 531465, F9, 21) (dual of [531465, 531351, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(9108, 531465, F9, 20) (dual of [531465, 531357, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(999, 531456, F9, 18) (dual of [531456, 531357, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(987, 531456, F9, 16) (dual of [531456, 531369, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(990, 531471, F9, 16) (dual of [531471, 531381, 17]-code) | [i] | ✔ | |
| 26 | Linear OOA(985, 66430, F9, 16, 16) (dual of [(66430, 16), 1062795, 17]-NRT-code) | [i] | OA Folding and Stacking | |