Information on Result #615483
Linear OA(926, 59049, F9, 6) (dual of [59049, 59023, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(929, 59059, F9, 6) (dual of [59059, 59030, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(930, 59131, F9, 6) (dual of [59131, 59101, 7]-code) | [i] | ||
| 3 | Linear OA(931, 59054, F9, 7) (dual of [59054, 59023, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(926, 59054, F9, 6) (dual of [59054, 59028, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(937, 59060, F9, 8) (dual of [59060, 59023, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(927, 59060, F9, 6) (dual of [59060, 59033, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(945, 59068, F9, 10) (dual of [59068, 59023, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(929, 59067, F9, 6) (dual of [59067, 59038, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(952, 59075, F9, 11) (dual of [59075, 59023, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(958, 59081, F9, 12) (dual of [59081, 59023, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(951, 59070, F9, 11) (dual of [59070, 59019, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(946, 59070, F9, 10) (dual of [59070, 59024, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(937, 59061, F9, 8) (dual of [59061, 59024, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(927, 59061, F9, 6) (dual of [59061, 59034, 7]-code) | [i] | ✔ | |