Information on Result #613545
Linear OA(510, 125, F5, 4) (dual of [125, 115, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, 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.
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(514, 129, F5, 6) (dual of [129, 115, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(510, 128, F5, 4) (dual of [128, 118, 5]-code) | [i] | ✔ | |
| 3 | Linear OA(518, 131, F5, 7) (dual of [131, 113, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(519, 134, F5, 7) (dual of [134, 115, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(523, 138, F5, 8) (dual of [138, 115, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(527, 140, F5, 9) (dual of [140, 113, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(522, 135, F5, 8) (dual of [135, 113, 9]-code) | [i] | ✔ | |