Information on Result #611861
Linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(3141, 59060, F3, 20) (dual of [59060, 58919, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3142, 59060, F3, 22) (dual of [59060, 58918, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3131, 59059, F3, 20) (dual of [59059, 58928, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(3155, 59073, F3, 23) (dual of [59073, 58918, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3135, 59073, F3, 20) (dual of [59073, 58938, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3169, 59087, F3, 25) (dual of [59087, 58918, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3167, 59085, F3, 24) (dual of [59085, 58918, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3137, 59085, F3, 20) (dual of [59085, 58948, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(3183, 59101, F3, 26) (dual of [59101, 58918, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3143, 59101, F3, 20) (dual of [59101, 58958, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(3198, 59116, F3, 28) (dual of [59116, 58918, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(3182, 59100, F3, 26) (dual of [59100, 58918, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(3142, 59100, F3, 20) (dual of [59100, 58958, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(3197, 59115, F3, 28) (dual of [59115, 58918, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3166, 59077, F3, 24) (dual of [59077, 58911, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |