Information on Result #724935
Linear OA(2599, 624, F25, 54) (dual of [624, 525, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55
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(25110, 654, F25, 54) (dual of [654, 544, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(25109, 652, F25, 54) (dual of [652, 543, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(25108, 650, F25, 54) (dual of [650, 542, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(25107, 647, F25, 54) (dual of [647, 540, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(25106, 644, F25, 54) (dual of [644, 538, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(25105, 641, F25, 54) (dual of [641, 536, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(25104, 638, F25, 54) (dual of [638, 534, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(25103, 635, F25, 54) (dual of [635, 532, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(25102, 632, F25, 54) (dual of [632, 530, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(25101, 628, F25, 55) (dual of [628, 527, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(25104, 631, F25, 56) (dual of [631, 527, 57]-code) | [i] | ✔ | |
| 12 | Linear OA(25107, 634, F25, 57) (dual of [634, 527, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(25110, 637, F25, 58) (dual of [637, 527, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(25103, 628, F25, 56) (dual of [628, 525, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(25109, 634, F25, 58) (dual of [634, 525, 59]-code) | [i] | ✔ | |