Information on Result #615609
Linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(999, 4782979, F9, 15) (dual of [4782979, 4782880, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9100, 4782987, F9, 15) (dual of [4782987, 4782887, 16]-code) | [i] | ||
| 3 | Linear OA(9101, 4782989, F9, 15) (dual of [4782989, 4782888, 16]-code) | [i] | ||
| 4 | Linear OA(9102, 4782997, F9, 15) (dual of [4782997, 4782895, 16]-code) | [i] | ||
| 5 | Linear OA(9103, 4782999, F9, 15) (dual of [4782999, 4782896, 16]-code) | [i] | ||
| 6 | Linear OA(9104, 4783010, F9, 15) (dual of [4783010, 4782906, 16]-code) | [i] | ||
| 7 | Linear OA(9103, 4782981, F9, 15) (dual of [4782981, 4782878, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OOA(992, 3388542, F9, 2, 15) (dual of [(3388542, 2), 6776992, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Linear OOA(992, 3388542, F9, 3, 15) (dual of [(3388542, 3), 10165534, 16]-NRT-code) | [i] | ||
| 10 | Digital (77, 92, 3388542)-net over F9 | [i] | ||
| 11 | Linear OA(9104, 4782989, F9, 15) (dual of [4782989, 4782885, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(992, 4782976, F9, 15) (dual of [4782976, 4782884, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(9126, 4783003, F9, 20) (dual of [4783003, 4782877, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(996, 4783001, F9, 15) (dual of [4783001, 4782905, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(9134, 4783011, F9, 21) (dual of [4783011, 4782877, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(998, 4783010, F9, 15) (dual of [4783010, 4782912, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(9145, 4783022, F9, 22) (dual of [4783022, 4782877, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(9103, 4783022, F9, 15) (dual of [4783022, 4782919, 16]-code) | [i] | ✔ | |
| 24 | Linear OA(9104, 4783030, F9, 15) (dual of [4783030, 4782926, 16]-code) | [i] | ✔ | |
| 25 | Linear OA(9144, 4783021, F9, 22) (dual of [4783021, 4782877, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(9125, 4782996, F9, 20) (dual of [4782996, 4782871, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(9115, 4782986, F9, 18) (dual of [4782986, 4782871, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(9118, 4782996, F9, 19) (dual of [4782996, 4782878, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(9108, 4782986, F9, 17) (dual of [4782986, 4782878, 18]-code) | [i] | ✔ | |
| 30 | Linear OA(993, 4782985, F9, 15) (dual of [4782985, 4782892, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(9114, 4782992, F9, 17) (dual of [4782992, 4782878, 18]-code) | [i] | ✔ | |