Information on Result #723810
Linear OA(2560, 624, F25, 32) (dual of [624, 564, 33]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−5,−4,…,26}, and designed minimum distance d ≥ |I|+1 = 33
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 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(2573, 655, F25, 33) (dual of [655, 582, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2577, 658, F25, 34) (dual of [658, 581, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(2571, 652, F25, 33) (dual of [652, 581, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2576, 658, F25, 34) (dual of [658, 582, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(2580, 661, F25, 35) (dual of [661, 581, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(2570, 649, F25, 33) (dual of [649, 579, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(2574, 655, F25, 34) (dual of [655, 581, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(2579, 661, F25, 35) (dual of [661, 582, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(2583, 664, F25, 36) (dual of [664, 581, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(2569, 646, F25, 33) (dual of [646, 577, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2577, 658, F25, 35) (dual of [658, 581, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2582, 664, F25, 36) (dual of [664, 582, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(2586, 667, F25, 37) (dual of [667, 581, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2580, 661, F25, 36) (dual of [661, 581, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(2585, 667, F25, 37) (dual of [667, 582, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(2589, 670, F25, 38) (dual of [670, 581, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(2583, 664, F25, 37) (dual of [664, 581, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(2588, 670, F25, 38) (dual of [670, 582, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(2592, 673, F25, 39) (dual of [673, 581, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(2566, 640, F25, 33) (dual of [640, 574, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(2586, 667, F25, 38) (dual of [667, 581, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(2591, 673, F25, 39) (dual of [673, 582, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(2595, 676, F25, 40) (dual of [676, 581, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(2589, 670, F25, 39) (dual of [670, 581, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(2594, 676, F25, 40) (dual of [676, 582, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(2599, 681, F25, 41) (dual of [681, 582, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(2598, 679, F25, 41) (dual of [679, 581, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(2592, 673, F25, 40) (dual of [673, 581, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(2598, 681, F25, 41) (dual of [681, 583, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(2597, 679, F25, 41) (dual of [679, 582, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(2595, 676, F25, 41) (dual of [676, 581, 42]-code) | [i] | ✔ | |
| 32 | Linear OA(25103, 686, F25, 42) (dual of [686, 583, 43]-code) | [i] | ✔ | |