Information on Result #613548
Linear OA(519, 15625, F5, 4) (dual of [15625, 15606, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, 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(526, 15632, F5, 6) (dual of [15632, 15606, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(519, 15631, F5, 4) (dual of [15631, 15612, 5]-code) | [i] | ✔ | |
| 3 | Linear OA(534, 15640, F5, 7) (dual of [15640, 15606, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(541, 15647, F5, 8) (dual of [15647, 15606, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(549, 15655, F5, 9) (dual of [15655, 15606, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(549, 15651, F5, 9) (dual of [15651, 15602, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(548, 15649, F5, 9) (dual of [15649, 15601, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(542, 15649, F5, 8) (dual of [15649, 15607, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(533, 15634, F5, 7) (dual of [15634, 15601, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(526, 15633, F5, 6) (dual of [15633, 15607, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |