Information on Result #616942
Linear OA(2547, 625, F25, 24) (dual of [625, 578, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(594, 1250, F5, 24) (dual of [1250, 1156, 25]-code) | [i] | Trace Code | |
| 2 | Linear OA(2559, 651, F25, 24) (dual of [651, 592, 25]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2560, 654, F25, 24) (dual of [654, 594, 25]-code) | [i] | ||
| 4 | Linear OA(2561, 656, F25, 24) (dual of [656, 595, 25]-code) | [i] | ||
| 5 | Linear OA(2562, 677, F25, 24) (dual of [677, 615, 25]-code) | [i] | ||
| 6 | Linear OA(2563, 691, F25, 24) (dual of [691, 628, 25]-code) | [i] | ||
| 7 | Linear OA(2564, 693, F25, 24) (dual of [693, 629, 25]-code) | [i] | ||
| 8 | Linear OA(2565, 695, F25, 24) (dual of [695, 630, 25]-code) | [i] | ||
| 9 | Linear OA(2566, 697, F25, 24) (dual of [697, 631, 25]-code) | [i] | ||
| 10 | Linear OA(2567, 702, F25, 24) (dual of [702, 635, 25]-code) | [i] | ||
| 11 | Linear OA(2568, 729, F25, 24) (dual of [729, 661, 25]-code) | [i] | ||
| 12 | Linear OA(2566, 645, F25, 24) (dual of [645, 579, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(2564, 643, F25, 24) (dual of [643, 579, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2565, 645, F25, 24) (dual of [645, 580, 25]-code) | [i] | ||
| 15 | Linear OA(2566, 647, F25, 24) (dual of [647, 581, 25]-code) | [i] | ||
| 16 | Linear OA(2567, 677, F25, 24) (dual of [677, 610, 25]-code) | [i] | ||
| 17 | Linear OA(2568, 680, F25, 24) (dual of [680, 612, 25]-code) | [i] | ||
| 18 | Linear OA(2550, 628, F25, 26) (dual of [628, 578, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(2547, 627, F25, 24) (dual of [627, 580, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(2552, 630, F25, 27) (dual of [630, 578, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(2548, 630, F25, 24) (dual of [630, 582, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(2555, 633, F25, 28) (dual of [633, 578, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(2549, 633, F25, 24) (dual of [633, 584, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(2558, 636, F25, 29) (dual of [636, 578, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(2550, 636, F25, 24) (dual of [636, 586, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(2561, 639, F25, 30) (dual of [639, 578, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(2551, 639, F25, 24) (dual of [639, 588, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(2564, 642, F25, 31) (dual of [642, 578, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(2552, 642, F25, 24) (dual of [642, 590, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(2567, 645, F25, 32) (dual of [645, 578, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(2553, 645, F25, 24) (dual of [645, 592, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(2570, 648, F25, 33) (dual of [648, 578, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(2554, 648, F25, 24) (dual of [648, 594, 25]-code) | [i] | ✔ | |
| 34 | Linear OA(2573, 651, F25, 34) (dual of [651, 578, 35]-code) | [i] | ✔ | |
| 35 | Linear OA(2555, 651, F25, 24) (dual of [651, 596, 25]-code) | [i] | ✔ | |
| 36 | Linear OA(2577, 654, F25, 35) (dual of [654, 577, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2578, 656, F25, 35) (dual of [656, 578, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(2557, 654, F25, 24) (dual of [654, 597, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(2558, 656, F25, 24) (dual of [656, 598, 25]-code) | [i] | ✔ | |
| 40 | Linear OA(2582, 660, F25, 36) (dual of [660, 578, 37]-code) | [i] | ✔ | |
| 41 | Linear OA(2560, 660, F25, 24) (dual of [660, 600, 25]-code) | [i] | ✔ | |
| 42 | Linear OA(2585, 663, F25, 37) (dual of [663, 578, 38]-code) | [i] | ✔ | |
| 43 | Linear OA(2561, 663, F25, 24) (dual of [663, 602, 25]-code) | [i] | ✔ | |
| 44 | Linear OA(2588, 666, F25, 38) (dual of [666, 578, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(2591, 669, F25, 39) (dual of [669, 578, 40]-code) | [i] | ✔ | |
| 46 | Linear OA(2594, 672, F25, 40) (dual of [672, 578, 41]-code) | [i] | ✔ | |
| 47 | Linear OA(2597, 675, F25, 41) (dual of [675, 578, 42]-code) | [i] | ✔ | |
| 48 | Linear OA(25100, 677, F25, 42) (dual of [677, 577, 43]-code) | [i] | ✔ | |
| 49 | Linear OA(25101, 679, F25, 42) (dual of [679, 578, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(25104, 682, F25, 43) (dual of [682, 578, 44]-code) | [i] | ✔ | |
| 51 | Linear OA(25107, 685, F25, 44) (dual of [685, 578, 45]-code) | [i] | ✔ | |
| 52 | Linear OA(25110, 688, F25, 45) (dual of [688, 578, 46]-code) | [i] | ✔ | |
| 53 | Linear OA(2581, 658, F25, 36) (dual of [658, 577, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 54 | Linear OA(2576, 653, F25, 35) (dual of [653, 577, 36]-code) | [i] | ✔ | |