Information on Result #616795
Linear OA(2527, 625, F25, 14) (dual of [625, 598, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(554, 1250, F5, 14) (dual of [1250, 1196, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(2534, 651, F25, 14) (dual of [651, 617, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2535, 654, F25, 14) (dual of [654, 619, 15]-code) | [i] | ||
| 4 | Linear OA(2536, 656, F25, 14) (dual of [656, 620, 15]-code) | [i] | ||
| 5 | Linear OA(2537, 677, F25, 14) (dual of [677, 640, 15]-code) | [i] | ||
| 6 | Linear OA(2538, 703, F25, 14) (dual of [703, 665, 15]-code) | [i] | ||
| 7 | Linear OA(2538, 637, F25, 14) (dual of [637, 599, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(2536, 635, F25, 14) (dual of [635, 599, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2537, 637, F25, 14) (dual of [637, 600, 15]-code) | [i] | ||
| 10 | Linear OA(2538, 677, F25, 14) (dual of [677, 639, 15]-code) | [i] | ||
| 11 | Linear OA(2529, 627, F25, 15) (dual of [627, 598, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(2527, 627, F25, 14) (dual of [627, 600, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(2532, 630, F25, 16) (dual of [630, 598, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(2528, 630, F25, 14) (dual of [630, 602, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(2535, 633, F25, 17) (dual of [633, 598, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(2529, 633, F25, 14) (dual of [633, 604, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(2538, 636, F25, 18) (dual of [636, 598, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(2530, 636, F25, 14) (dual of [636, 606, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(2541, 639, F25, 19) (dual of [639, 598, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2531, 639, F25, 14) (dual of [639, 608, 15]-code) | [i] | ✔ | |
| 21 | Linear OA(2544, 642, F25, 20) (dual of [642, 598, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(2532, 642, F25, 14) (dual of [642, 610, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(2547, 645, F25, 21) (dual of [645, 598, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(2533, 645, F25, 14) (dual of [645, 612, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(2550, 648, F25, 22) (dual of [648, 598, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(2553, 651, F25, 23) (dual of [651, 598, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(2557, 654, F25, 24) (dual of [654, 597, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(2558, 656, F25, 24) (dual of [656, 598, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(2563, 661, F25, 26) (dual of [661, 598, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(2565, 663, F25, 27) (dual of [663, 598, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(2568, 666, F25, 28) (dual of [666, 598, 29]-code) | [i] | ✔ | |