Information on Result #616775
Linear OA(2523, 625, F25, 12) (dual of [625, 602, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2595, 16249, F25, 25) (dual of [16249, 16154, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2529, 651, F25, 12) (dual of [651, 622, 13]-code) | [i] | ||
| 3 | Linear OA(2530, 654, F25, 12) (dual of [654, 624, 13]-code) | [i] | ||
| 4 | Linear OA(2531, 656, F25, 12) (dual of [656, 625, 13]-code) | [i] | ||
| 5 | Linear OA(2532, 677, F25, 12) (dual of [677, 645, 13]-code) | [i] | ||
| 6 | Linear OA(2532, 635, F25, 12) (dual of [635, 603, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2525, 627, F25, 13) (dual of [627, 602, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2523, 627, F25, 12) (dual of [627, 604, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(2528, 630, F25, 14) (dual of [630, 602, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(2524, 630, F25, 12) (dual of [630, 606, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(2531, 633, F25, 15) (dual of [633, 602, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(2525, 633, F25, 12) (dual of [633, 608, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(2534, 636, F25, 16) (dual of [636, 602, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(2526, 636, F25, 12) (dual of [636, 610, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(2537, 639, F25, 17) (dual of [639, 602, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2527, 639, F25, 12) (dual of [639, 612, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(2540, 642, F25, 18) (dual of [642, 602, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2528, 642, F25, 12) (dual of [642, 614, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(2543, 645, F25, 19) (dual of [645, 602, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2546, 648, F25, 20) (dual of [648, 602, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2549, 651, F25, 21) (dual of [651, 602, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(2553, 654, F25, 22) (dual of [654, 601, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(2554, 656, F25, 22) (dual of [656, 602, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2558, 660, F25, 23) (dual of [660, 602, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(2561, 663, F25, 24) (dual of [663, 602, 25]-code) | [i] | ✔ | |