Information on Result #613581
Linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(521, 629, F5, 7) (dual of [629, 608, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(518, 630, F5, 6) (dual of [630, 612, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(526, 634, F5, 8) (dual of [634, 608, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(532, 640, F5, 9) (dual of [640, 608, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(539, 645, F5, 11) (dual of [645, 606, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(537, 645, F5, 10) (dual of [645, 608, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(539, 647, F5, 11) (dual of [647, 608, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(544, 652, F5, 12) (dual of [652, 608, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(538, 643, F5, 11) (dual of [643, 605, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(523, 632, F5, 7) (dual of [632, 609, 8]-code) | [i] | ✔ | |
| 11 | Linear OA(519, 632, F5, 6) (dual of [632, 613, 7]-code) | [i] | ✔ | |
| 12 | Linear OA(526, 635, F5, 8) (dual of [635, 609, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |