Information on Result #724857
Linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42
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
- 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 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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2580, 628, F25, 42) (dual of [628, 548, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2583, 631, F25, 43) (dual of [631, 548, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(25110, 670, F25, 50) (dual of [670, 560, 51]-code) | [i] | ✔ | |
| 4 | Linear OA(2586, 634, F25, 44) (dual of [634, 548, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(25109, 667, F25, 50) (dual of [667, 558, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(2589, 637, F25, 45) (dual of [637, 548, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(25108, 664, F25, 50) (dual of [664, 556, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(2592, 640, F25, 46) (dual of [640, 548, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(25107, 661, F25, 50) (dual of [661, 554, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(2595, 643, F25, 47) (dual of [643, 548, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(25106, 658, F25, 50) (dual of [658, 552, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(2598, 646, F25, 48) (dual of [646, 548, 49]-code) | [i] | ✔ | |
| 13 | Linear OA(25105, 655, F25, 50) (dual of [655, 550, 51]-code) | [i] | ✔ | |
| 14 | Linear OA(25101, 649, F25, 49) (dual of [649, 548, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(25104, 652, F25, 50) (dual of [652, 548, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(2582, 628, F25, 43) (dual of [628, 546, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(2585, 631, F25, 44) (dual of [631, 546, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(2588, 634, F25, 45) (dual of [634, 546, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(2591, 637, F25, 46) (dual of [637, 546, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(2594, 640, F25, 47) (dual of [640, 546, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(2597, 643, F25, 48) (dual of [643, 546, 49]-code) | [i] | ✔ | |
| 22 | Linear OA(25100, 646, F25, 49) (dual of [646, 546, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(25103, 649, F25, 50) (dual of [649, 546, 51]-code) | [i] | ✔ | |