Information on Result #615511
Linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(940, 59059, F9, 8) (dual of [59059, 59019, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(941, 59065, F9, 8) (dual of [59065, 59024, 9]-code) | [i] | ||
| 3 | Linear OA(942, 59121, F9, 8) (dual of [59121, 59079, 9]-code) | [i] | ||
| 4 | Linear OA(941, 59055, F9, 8) (dual of [59055, 59014, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(942, 59069, F9, 8) (dual of [59069, 59027, 9]-code) | [i] | ||
| 6 | Linear OA(942, 59055, F9, 10) (dual of [59055, 59013, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(936, 59054, F9, 8) (dual of [59054, 59018, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(948, 59059, F9, 11) (dual of [59059, 59011, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(949, 59062, F9, 11) (dual of [59062, 59013, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(937, 59060, F9, 8) (dual of [59060, 59023, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(955, 59068, F9, 12) (dual of [59068, 59013, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(939, 59067, F9, 8) (dual of [59067, 59028, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(962, 59075, F9, 13) (dual of [59075, 59013, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(940, 59073, F9, 8) (dual of [59073, 59033, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(968, 59081, F9, 14) (dual of [59081, 59013, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(976, 59089, F9, 15) (dual of [59089, 59013, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(984, 59097, F9, 16) (dual of [59097, 59013, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(983, 59096, F9, 16) (dual of [59096, 59013, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(967, 59076, F9, 14) (dual of [59076, 59009, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(961, 59070, F9, 13) (dual of [59070, 59009, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(954, 59063, F9, 12) (dual of [59063, 59009, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(956, 59070, F9, 12) (dual of [59070, 59014, 13]-code) | [i] | ✔ | |
| 23 | Linear OA(941, 59075, F9, 8) (dual of [59075, 59034, 9]-code) | [i] | ✔ | |
| 24 | Linear OA(937, 59061, F9, 8) (dual of [59061, 59024, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |