Information on Result #616756
Linear OA(2519, 625, F25, 10) (dual of [625, 606, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(538, 1250, F5, 10) (dual of [1250, 1212, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(2580, 16251, F25, 21) (dual of [16251, 16171, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25100, 391251, F25, 21) (dual of [391251, 391151, 22]-code) | [i] | ||
| 4 | Linear OA(2524, 651, F25, 10) (dual of [651, 627, 11]-code) | [i] | ||
| 5 | Linear OA(2525, 654, F25, 10) (dual of [654, 629, 11]-code) | [i] | ||
| 6 | Linear OA(2526, 1226, F25, 10) (dual of [1226, 1200, 11]-code) | [i] | ||
| 7 | Linear OA(2526, 633, F25, 10) (dual of [633, 607, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(2521, 627, F25, 11) (dual of [627, 606, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2519, 627, F25, 10) (dual of [627, 608, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(2524, 630, F25, 12) (dual of [630, 606, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(2520, 630, F25, 10) (dual of [630, 610, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(2527, 633, F25, 13) (dual of [633, 606, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(2521, 633, F25, 10) (dual of [633, 612, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(2530, 636, F25, 14) (dual of [636, 606, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(2522, 636, F25, 10) (dual of [636, 614, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(2533, 639, F25, 15) (dual of [639, 606, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(2523, 639, F25, 10) (dual of [639, 616, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(2536, 642, F25, 16) (dual of [642, 606, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(2539, 645, F25, 17) (dual of [645, 606, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(2542, 648, F25, 18) (dual of [648, 606, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2545, 651, F25, 19) (dual of [651, 606, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(2549, 654, F25, 20) (dual of [654, 605, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(2550, 656, F25, 20) (dual of [656, 606, 21]-code) | [i] | ✔ | |
| 24 | Linear OOA(2519, 125, F25, 10, 10) (dual of [(125, 10), 1231, 11]-NRT-code) | [i] | OA Folding and Stacking | |