Information on Result #723069
Linear OA(257, 624, F25, 4) (dual of [624, 617, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(259, 628, F25, 5) (dual of [628, 619, 6]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2512, 631, F25, 6) (dual of [631, 619, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(2515, 634, F25, 7) (dual of [634, 619, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(2518, 637, F25, 8) (dual of [637, 619, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(2511, 628, F25, 6) (dual of [628, 617, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(2517, 634, F25, 8) (dual of [634, 617, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(2523, 640, F25, 10) (dual of [640, 617, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(2541, 658, F25, 16) (dual of [658, 617, 17]-code) | [i] | ✔ | |