Information on Result #611805
Linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(3119, 59058, F3, 17) (dual of [59058, 58939, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3121, 59062, F3, 17) (dual of [59062, 58941, 18]-code) | [i] | ||
| 3 | Linear OA(3122, 59060, F3, 19) (dual of [59060, 58938, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3135, 59073, F3, 20) (dual of [59073, 58938, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3115, 59073, F3, 17) (dual of [59073, 58958, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3149, 59087, F3, 22) (dual of [59087, 58938, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3147, 59085, F3, 21) (dual of [59085, 58938, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(3117, 59085, F3, 17) (dual of [59085, 58968, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(3163, 59101, F3, 23) (dual of [59101, 58938, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(3162, 59100, F3, 23) (dual of [59100, 58938, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3146, 59077, F3, 21) (dual of [59077, 58931, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |