Information on Result #613580
Linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(516, 128, F5, 7) (dual of [128, 112, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(514, 129, F5, 6) (dual of [129, 115, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(520, 132, F5, 8) (dual of [132, 112, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(515, 131, F5, 6) (dual of [131, 116, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(525, 137, F5, 9) (dual of [137, 112, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(531, 143, F5, 11) (dual of [143, 112, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(529, 141, F5, 10) (dual of [141, 112, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(535, 146, F5, 12) (dual of [146, 111, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(530, 140, F5, 11) (dual of [140, 110, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(524, 134, F5, 9) (dual of [134, 110, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(527, 140, F5, 9) (dual of [140, 113, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(522, 135, F5, 8) (dual of [135, 113, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(523, 136, F5, 8) (dual of [136, 113, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |