Information on Result #613654
Linear OA(516, 25, F5, 12) (dual of [25, 9, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5116, 3149, F5, 25) (dual of [3149, 3033, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5117, 3151, F5, 25) (dual of [3151, 3034, 26]-code) | [i] | ||
| 3 | Linear OA(5136, 15649, F5, 25) (dual of [15649, 15513, 26]-code) | [i] | ||
| 4 | Linear OA(5137, 15651, F5, 25) (dual of [15651, 15514, 26]-code) | [i] | ||
| 5 | Linear OA(593, 650, F5, 24) (dual of [650, 557, 25]-code) | [i] | ||
| 6 | Linear OA(5112, 3150, F5, 24) (dual of [3150, 3038, 25]-code) | [i] | ||
| 7 | Linear OA(5131, 15650, F5, 24) (dual of [15650, 15519, 25]-code) | [i] | ||
| 8 | Linear OA(5150, 78150, F5, 24) (dual of [78150, 78000, 25]-code) | [i] | ||
| 9 | Linear OA(518, 29, F5, 12) (dual of [29, 11, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(529, 38, F5, 19) (dual of [38, 9, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(530, 40, F5, 18) (dual of [40, 10, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(523, 33, F5, 14) (dual of [33, 10, 15]-code) | [i] | ✔ | |