Information on Result #723751
Linear OA(2558, 624, F25, 31) (dual of [624, 566, 32]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−4,−3,…,26}, and designed minimum distance d ≥ |I|+1 = 32
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 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(2571, 655, F25, 32) (dual of [655, 584, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2575, 658, F25, 33) (dual of [658, 583, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2569, 652, F25, 32) (dual of [652, 583, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(2574, 658, F25, 33) (dual of [658, 584, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2578, 661, F25, 34) (dual of [661, 583, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(2568, 649, F25, 32) (dual of [649, 581, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(2572, 655, F25, 33) (dual of [655, 583, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2577, 661, F25, 34) (dual of [661, 584, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(2581, 664, F25, 35) (dual of [664, 583, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(2567, 646, F25, 32) (dual of [646, 579, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(2575, 658, F25, 34) (dual of [658, 583, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(2580, 664, F25, 35) (dual of [664, 584, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(2584, 667, F25, 36) (dual of [667, 583, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(2566, 643, F25, 32) (dual of [643, 577, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(2578, 661, F25, 35) (dual of [661, 583, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(2583, 667, F25, 36) (dual of [667, 584, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(2587, 670, F25, 37) (dual of [670, 583, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(2581, 664, F25, 36) (dual of [664, 583, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(2586, 670, F25, 37) (dual of [670, 584, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(2590, 673, F25, 38) (dual of [673, 583, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(2584, 667, F25, 37) (dual of [667, 583, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(2589, 673, F25, 38) (dual of [673, 584, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(2593, 676, F25, 39) (dual of [676, 583, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(2563, 637, F25, 32) (dual of [637, 574, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(2587, 670, F25, 38) (dual of [670, 583, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(2592, 676, F25, 39) (dual of [676, 584, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(2597, 681, F25, 40) (dual of [681, 584, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(2596, 679, F25, 40) (dual of [679, 583, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(2590, 673, F25, 39) (dual of [673, 583, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(2596, 681, F25, 40) (dual of [681, 585, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(2595, 679, F25, 40) (dual of [679, 584, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(2593, 676, F25, 40) (dual of [676, 583, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(25101, 686, F25, 41) (dual of [686, 585, 42]-code) | [i] | ✔ | |