Information on Result #694000
Linear OA(2537, 625, F25, 19) (dual of [625, 588, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2539, 627, F25, 20) (dual of [627, 588, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2537, 627, F25, 19) (dual of [627, 590, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(2545, 633, F25, 22) (dual of [633, 588, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(2539, 633, F25, 19) (dual of [633, 594, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2551, 639, F25, 24) (dual of [639, 588, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(2541, 639, F25, 19) (dual of [639, 598, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(2555, 643, F25, 26) (dual of [643, 588, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(2557, 645, F25, 27) (dual of [645, 588, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2543, 645, F25, 19) (dual of [645, 602, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(2560, 648, F25, 28) (dual of [648, 588, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(2563, 651, F25, 29) (dual of [651, 588, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2545, 651, F25, 19) (dual of [651, 606, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(2567, 654, F25, 30) (dual of [654, 587, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(2568, 656, F25, 30) (dual of [656, 588, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(2572, 660, F25, 31) (dual of [660, 588, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(2575, 663, F25, 32) (dual of [663, 588, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(2578, 666, F25, 33) (dual of [666, 588, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(2581, 669, F25, 34) (dual of [669, 588, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(2584, 672, F25, 35) (dual of [672, 588, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(2587, 675, F25, 36) (dual of [675, 588, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(2590, 677, F25, 37) (dual of [677, 587, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(2591, 679, F25, 37) (dual of [679, 588, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(2594, 682, F25, 38) (dual of [682, 588, 39]-code) | [i] | ✔ | |