Information on Result #615563
Linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, 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(977, 4782979, F9, 12) (dual of [4782979, 4782902, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(978, 4782986, F9, 12) (dual of [4782986, 4782908, 13]-code) | [i] | ||
| 3 | Linear OA(979, 4782989, F9, 12) (dual of [4782989, 4782910, 13]-code) | [i] | ||
| 4 | Linear OA(980, 4782997, F9, 12) (dual of [4782997, 4782917, 13]-code) | [i] | ||
| 5 | Linear OOA(971, 2707591, F9, 2, 12) (dual of [(2707591, 2), 5415111, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(971, 2707591, F9, 3, 12) (dual of [(2707591, 3), 8122702, 13]-NRT-code) | [i] | ||
| 7 | Digital (59, 71, 2707591)-net over F9 | [i] | ||
| 8 | Linear OA(980, 4782979, F9, 12) (dual of [4782979, 4782899, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(986, 4782984, F9, 14) (dual of [4782984, 4782898, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(972, 4782984, F9, 12) (dual of [4782984, 4782912, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(977, 4783003, F9, 12) (dual of [4783003, 4782926, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(9112, 4783010, F9, 17) (dual of [4783010, 4782898, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(978, 4783011, F9, 12) (dual of [4783011, 4782933, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(9124, 4783022, F9, 19) (dual of [4783022, 4782898, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(9120, 4783018, F9, 18) (dual of [4783018, 4782898, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(9133, 4783031, F9, 20) (dual of [4783031, 4782898, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(9142, 4783040, F9, 21) (dual of [4783040, 4782898, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(9150, 4783048, F9, 22) (dual of [4783048, 4782898, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(9132, 4783030, F9, 20) (dual of [4783030, 4782898, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(9123, 4783021, F9, 19) (dual of [4783021, 4782898, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(976, 4782996, F9, 12) (dual of [4782996, 4782920, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(986, 4782985, F9, 14) (dual of [4782985, 4782899, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(972, 4782985, F9, 12) (dual of [4782985, 4782913, 13]-code) | [i] | ✔ | |