Information on Result #613603
Linear OA(525, 625, F5, 8) (dual of [625, 600, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(529, 631, F5, 8) (dual of [631, 602, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(529, 629, F5, 9) (dual of [629, 600, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(525, 629, F5, 8) (dual of [629, 604, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(534, 634, F5, 10) (dual of [634, 600, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(536, 636, F5, 11) (dual of [636, 600, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(526, 634, F5, 8) (dual of [634, 608, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(541, 641, F5, 12) (dual of [641, 600, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(529, 641, F5, 8) (dual of [641, 612, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(547, 645, F5, 13) (dual of [645, 598, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(548, 648, F5, 13) (dual of [648, 600, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(553, 650, F5, 14) (dual of [650, 597, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(546, 643, F5, 13) (dual of [643, 597, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(542, 643, F5, 12) (dual of [643, 601, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(535, 632, F5, 11) (dual of [632, 597, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(535, 636, F5, 10) (dual of [636, 601, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(526, 635, F5, 8) (dual of [635, 609, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |