Information on Result #611533
Linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(322, 2194, F3, 5) (dual of [2194, 2172, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(330, 2202, F3, 6) (dual of [2202, 2172, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(332, 2200, F3, 7) (dual of [2200, 2168, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(323, 2196, F3, 5) (dual of [2196, 2173, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(330, 2203, F3, 6) (dual of [2203, 2173, 7]-code) | [i] | ✔ | |
| 6 | Linear OOA(315, 1093, F3, 2, 4) (dual of [(1093, 2), 2171, 5]-NRT-code) | [i] | OOA Folding | |