Information on Result #689345
Linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(986, 59054, F9, 20) (dual of [59054, 58968, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(982, 59055, F9, 19) (dual of [59055, 58973, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(982, 59060, F9, 18) (dual of [59060, 58978, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(983, 59059, F9, 19) (dual of [59059, 58976, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(984, 59062, F9, 19) (dual of [59062, 58978, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(999, 59067, F9, 22) (dual of [59067, 58968, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(985, 59068, F9, 19) (dual of [59068, 58983, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(987, 59075, F9, 19) (dual of [59075, 58988, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(985, 59073, F9, 18) (dual of [59073, 58988, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(9112, 59080, F9, 24) (dual of [59080, 58968, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(988, 59081, F9, 19) (dual of [59081, 58993, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(991, 59089, F9, 19) (dual of [59089, 58998, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(988, 59086, F9, 18) (dual of [59086, 58998, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(9126, 59090, F9, 26) (dual of [59090, 58964, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(9127, 59095, F9, 26) (dual of [59095, 58968, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(994, 59097, F9, 19) (dual of [59097, 59003, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(992, 59095, F9, 18) (dual of [59095, 59003, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(9136, 59104, F9, 28) (dual of [59104, 58968, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(996, 59104, F9, 19) (dual of [59104, 59008, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(994, 59102, F9, 18) (dual of [59102, 59008, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(9142, 59110, F9, 29) (dual of [59110, 58968, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(9148, 59116, F9, 30) (dual of [59116, 58968, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(9126, 59091, F9, 26) (dual of [59091, 58965, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(993, 59096, F9, 19) (dual of [59096, 59003, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(991, 59091, F9, 18) (dual of [59091, 59000, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(993, 59101, F9, 18) (dual of [59101, 59008, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(9126, 59094, F9, 26) (dual of [59094, 58968, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(991, 59094, F9, 18) (dual of [59094, 59003, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(990, 59088, F9, 19) (dual of [59088, 58998, 20]-code) | [i] | ✔ | |
| 30 | Linear OA(9111, 59075, F9, 24) (dual of [59075, 58964, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(998, 59062, F9, 22) (dual of [59062, 58964, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(9101, 59070, F9, 22) (dual of [59070, 58969, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(983, 59062, F9, 18) (dual of [59062, 58979, 19]-code) | [i] | ✔ | |
| 34 | Linear OA(986, 59070, F9, 19) (dual of [59070, 58984, 20]-code) | [i] | ✔ | |
| 35 | Linear OA(986, 59075, F9, 18) (dual of [59075, 58989, 19]-code) | [i] | ✔ | |
| 36 | Linear OOA(981, 19683, F9, 3, 19) (dual of [(19683, 3), 58968, 20]-NRT-code) | [i] | OOA Folding | |