Information on Result #724957
Linear OA(2586, 624, F25, 45) (dual of [624, 538, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46
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]
- 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(2588, 628, F25, 46) (dual of [628, 540, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2591, 631, F25, 47) (dual of [631, 540, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(2594, 634, F25, 48) (dual of [634, 540, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(2597, 637, F25, 49) (dual of [637, 540, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(25100, 640, F25, 50) (dual of [640, 540, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(2590, 628, F25, 47) (dual of [628, 538, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(2593, 631, F25, 48) (dual of [631, 538, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(2596, 634, F25, 49) (dual of [634, 538, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(2599, 637, F25, 50) (dual of [637, 538, 51]-code) | [i] | ✔ | |