Information on Result #674379
Linear OA(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3170, 1594336, F3, 20) (dual of [1594336, 1594166, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3158, 1594337, F3, 19) (dual of [1594337, 1594179, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3187, 1594353, F3, 22) (dual of [1594353, 1594166, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(3158, 1594350, F3, 18) (dual of [1594350, 1594192, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(3161, 1594353, F3, 19) (dual of [1594353, 1594192, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3202, 1594368, F3, 23) (dual of [1594368, 1594166, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(3165, 1594364, F3, 19) (dual of [1594364, 1594199, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3166, 1594371, F3, 19) (dual of [1594371, 1594205, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(3163, 1594368, F3, 18) (dual of [1594368, 1594205, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3238, 1594404, F3, 26) (dual of [1594404, 1594166, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3237, 1594403, F3, 26) (dual of [1594403, 1594166, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(3158, 1594351, F3, 18) (dual of [1594351, 1594193, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 13 | Linear OOA(3157, 531441, F3, 3, 19) (dual of [(531441, 3), 1594166, 20]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(3157, 318864, F3, 5, 19) (dual of [(318864, 5), 1594163, 20]-NRT-code) | [i] | ||