Information on Result #615577
Linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(962, 59059, F9, 13) (dual of [59059, 58997, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(963, 59066, F9, 13) (dual of [59066, 59003, 14]-code) | [i] | ||
| 3 | Linear OA(964, 59069, F9, 13) (dual of [59069, 59005, 14]-code) | [i] | ||
| 4 | Linear OA(965, 59077, F9, 13) (dual of [59077, 59012, 14]-code) | [i] | ||
| 5 | Linear OA(966, 59090, F9, 13) (dual of [59090, 59024, 14]-code) | [i] | ||
| 6 | Linear OOA(956, 36230, F9, 2, 13) (dual of [(36230, 2), 72404, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(956, 36230, F9, 3, 13) (dual of [(36230, 3), 108634, 14]-NRT-code) | [i] | ||
| 8 | Digital (43, 56, 36230)-net over F9 | [i] | ||
| 9 | Linear OA(965, 59059, F9, 13) (dual of [59059, 58994, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(966, 59069, F9, 13) (dual of [59069, 59003, 14]-code) | [i] | ||
| 11 | Linear OA(961, 59054, F9, 14) (dual of [59054, 58993, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(967, 59060, F9, 15) (dual of [59060, 58993, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(957, 59060, F9, 13) (dual of [59060, 59003, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(974, 59067, F9, 16) (dual of [59067, 58993, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(959, 59067, F9, 13) (dual of [59067, 59008, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(980, 59073, F9, 17) (dual of [59073, 58993, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(962, 59075, F9, 13) (dual of [59075, 59013, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(988, 59081, F9, 19) (dual of [59081, 58993, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(963, 59081, F9, 13) (dual of [59081, 59018, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(996, 59089, F9, 20) (dual of [59089, 58993, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(9104, 59097, F9, 21) (dual of [59097, 58993, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(9111, 59104, F9, 22) (dual of [59104, 58993, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(9117, 59110, F9, 23) (dual of [59110, 58993, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(9123, 59116, F9, 24) (dual of [59116, 58993, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(9129, 59122, F9, 25) (dual of [59122, 58993, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(9136, 59129, F9, 26) (dual of [59129, 58993, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(9103, 59096, F9, 21) (dual of [59096, 58993, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(995, 59088, F9, 20) (dual of [59088, 58993, 21]-code) | [i] | ✔ | |
| 30 | Linear OA(986, 59075, F9, 18) (dual of [59075, 58989, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(981, 59075, F9, 17) (dual of [59075, 58994, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(973, 59062, F9, 16) (dual of [59062, 58989, 17]-code) | [i] | ✔ | |
| 33 | Linear OA(968, 59062, F9, 15) (dual of [59062, 58994, 16]-code) | [i] | ✔ | |
| 34 | Linear OA(958, 59062, F9, 13) (dual of [59062, 59004, 14]-code) | [i] | ✔ | |
| 35 | Linear OA(961, 59070, F9, 13) (dual of [59070, 59009, 14]-code) | [i] | ✔ | |
| 36 | Linear OA(972, 59066, F9, 15) (dual of [59066, 58994, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(957, 59066, F9, 12) (dual of [59066, 59009, 13]-code) | [i] | ✔ | |