Information on Result #616737
Linear OA(2515, 625, F25, 8) (dual of [625, 610, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, 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(2564, 16251, F25, 17) (dual of [16251, 16187, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2580, 391251, F25, 17) (dual of [391251, 391171, 18]-code) | [i] | ||
| 3 | Linear OA(2519, 651, F25, 8) (dual of [651, 632, 9]-code) | [i] | ||
| 4 | Linear OA(2520, 654, F25, 8) (dual of [654, 634, 9]-code) | [i] | ||
| 5 | Linear OA(2517, 627, F25, 9) (dual of [627, 610, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(2515, 627, F25, 8) (dual of [627, 612, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(2520, 630, F25, 10) (dual of [630, 610, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(2516, 630, F25, 8) (dual of [630, 614, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(2523, 633, F25, 11) (dual of [633, 610, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(2517, 633, F25, 8) (dual of [633, 616, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(2526, 636, F25, 12) (dual of [636, 610, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2518, 636, F25, 8) (dual of [636, 618, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(2529, 639, F25, 13) (dual of [639, 610, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(2532, 642, F25, 14) (dual of [642, 610, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(2535, 645, F25, 15) (dual of [645, 610, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(2538, 648, F25, 16) (dual of [648, 610, 17]-code) | [i] | ✔ | |