Information on Result #613546
Linear OA(513, 625, F5, 4) (dual of [625, 612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, 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(518, 630, F5, 6) (dual of [630, 612, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(524, 636, F5, 7) (dual of [636, 612, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(529, 641, F5, 8) (dual of [641, 612, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(523, 632, F5, 7) (dual of [632, 609, 8]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(519, 632, F5, 6) (dual of [632, 613, 7]-code) | [i] | ✔ | |