Information on Result #723936
Linear OA(2564, 624, F25, 34) (dual of [624, 560, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−7,−6,…,26}, and designed minimum distance d ≥ |I|+1 = 35
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 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(2577, 655, F25, 35) (dual of [655, 578, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2575, 652, F25, 35) (dual of [652, 577, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(2580, 658, F25, 36) (dual of [658, 578, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2584, 661, F25, 37) (dual of [661, 577, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2578, 655, F25, 36) (dual of [655, 577, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(2583, 661, F25, 37) (dual of [661, 578, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2587, 664, F25, 38) (dual of [664, 577, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(2581, 658, F25, 37) (dual of [658, 577, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2586, 664, F25, 38) (dual of [664, 578, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(2590, 667, F25, 39) (dual of [667, 577, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2572, 646, F25, 35) (dual of [646, 574, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2584, 661, F25, 38) (dual of [661, 577, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(2589, 667, F25, 39) (dual of [667, 578, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(2593, 670, F25, 40) (dual of [670, 577, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(2587, 664, F25, 39) (dual of [664, 577, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(2592, 670, F25, 40) (dual of [670, 578, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(2596, 673, F25, 41) (dual of [673, 577, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(2590, 667, F25, 40) (dual of [667, 577, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(2595, 673, F25, 41) (dual of [673, 578, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(2599, 676, F25, 42) (dual of [676, 577, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(2593, 670, F25, 41) (dual of [670, 577, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(2598, 676, F25, 42) (dual of [676, 578, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(25103, 681, F25, 43) (dual of [681, 578, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(25102, 679, F25, 43) (dual of [679, 577, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(2596, 673, F25, 42) (dual of [673, 577, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(25102, 681, F25, 43) (dual of [681, 579, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(25101, 679, F25, 43) (dual of [679, 578, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(2599, 676, F25, 43) (dual of [676, 577, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(25107, 686, F25, 44) (dual of [686, 579, 45]-code) | [i] | ✔ | |