Information on Result #723700
Linear OA(2556, 624, F25, 30) (dual of [624, 568, 31]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−3,−2,…,26}, and designed minimum distance d ≥ |I|+1 = 31
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2569, 655, F25, 31) (dual of [655, 586, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2573, 658, F25, 32) (dual of [658, 585, 33]-code) | [i] | ✔ | |
| 3 | Linear OA(2567, 652, F25, 31) (dual of [652, 585, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2572, 658, F25, 32) (dual of [658, 586, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(2576, 661, F25, 33) (dual of [661, 585, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(2566, 649, F25, 31) (dual of [649, 583, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2570, 655, F25, 32) (dual of [655, 585, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(2575, 661, F25, 33) (dual of [661, 586, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2579, 664, F25, 34) (dual of [664, 585, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(2565, 646, F25, 31) (dual of [646, 581, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(2573, 658, F25, 33) (dual of [658, 585, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2578, 664, F25, 34) (dual of [664, 586, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(2582, 667, F25, 35) (dual of [667, 585, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(2564, 643, F25, 31) (dual of [643, 579, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(2576, 661, F25, 34) (dual of [661, 585, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(2581, 667, F25, 35) (dual of [667, 586, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(2585, 670, F25, 36) (dual of [670, 585, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(2563, 640, F25, 31) (dual of [640, 577, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(2579, 664, F25, 35) (dual of [664, 585, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(2584, 670, F25, 36) (dual of [670, 586, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(2588, 673, F25, 37) (dual of [673, 585, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(2582, 667, F25, 36) (dual of [667, 585, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(2587, 673, F25, 37) (dual of [673, 586, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(2591, 676, F25, 38) (dual of [676, 585, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(2585, 670, F25, 37) (dual of [670, 585, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(2590, 676, F25, 38) (dual of [676, 586, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(2595, 681, F25, 39) (dual of [681, 586, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(2594, 679, F25, 39) (dual of [679, 585, 40]-code) | [i] | ✔ | |
| 29 | Linear OA(2560, 634, F25, 31) (dual of [634, 574, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(2588, 673, F25, 38) (dual of [673, 585, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(2594, 681, F25, 39) (dual of [681, 587, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(2593, 679, F25, 39) (dual of [679, 586, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(2591, 676, F25, 39) (dual of [676, 585, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(2599, 686, F25, 40) (dual of [686, 587, 41]-code) | [i] | ✔ | |