Information on Result #613594
Linear OA(516, 125, F5, 7) (dual of [125, 109, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(519, 131, F5, 7) (dual of [131, 112, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(520, 151, F5, 7) (dual of [151, 131, 8]-code) | [i] | ||
| 3 | Linear OA(519, 128, F5, 8) (dual of [128, 109, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(516, 128, F5, 7) (dual of [128, 112, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(523, 132, F5, 9) (dual of [132, 109, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(518, 131, F5, 7) (dual of [131, 113, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(519, 134, F5, 7) (dual of [134, 115, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(529, 138, F5, 11) (dual of [138, 109, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(534, 143, F5, 12) (dual of [143, 109, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(533, 140, F5, 12) (dual of [140, 107, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(527, 134, F5, 10) (dual of [134, 107, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(530, 140, F5, 11) (dual of [140, 110, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(524, 134, F5, 9) (dual of [134, 110, 10]-code) | [i] | ✔ | |
| 14 | Linear OA(526, 136, F5, 9) (dual of [136, 110, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |