Information on Result #616983
Linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(5100, 1250, F5, 27) (dual of [1250, 1150, 28]-code) | [i] | Trace Code | |
| 2 | Linear OA(2563, 651, F25, 27) (dual of [651, 588, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2564, 654, F25, 27) (dual of [654, 590, 28]-code) | [i] | ||
| 4 | Linear OA(2565, 656, F25, 27) (dual of [656, 591, 28]-code) | [i] | ||
| 5 | Linear OA(2566, 677, F25, 27) (dual of [677, 611, 28]-code) | [i] | ||
| 6 | Linear OA(2567, 691, F25, 27) (dual of [691, 624, 28]-code) | [i] | ||
| 7 | Linear OA(2568, 693, F25, 27) (dual of [693, 625, 28]-code) | [i] | ||
| 8 | Linear OA(2569, 695, F25, 27) (dual of [695, 626, 28]-code) | [i] | ||
| 9 | Linear OA(2570, 697, F25, 27) (dual of [697, 627, 28]-code) | [i] | ||
| 10 | Linear OA(2571, 703, F25, 27) (dual of [703, 632, 28]-code) | [i] | ||
| 11 | Linear OA(2572, 729, F25, 27) (dual of [729, 657, 28]-code) | [i] | ||
| 12 | Linear OA(2573, 781, F25, 27) (dual of [781, 708, 28]-code) | [i] | ||
| 13 | Linear OA(2574, 833, F25, 27) (dual of [833, 759, 28]-code) | [i] | ||
| 14 | Linear OA(2573, 649, F25, 27) (dual of [649, 576, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(2570, 646, F25, 27) (dual of [646, 576, 28]-code) | [i] | ||
| 16 | Linear OA(2572, 649, F25, 27) (dual of [649, 577, 28]-code) | [i] | ||
| 17 | Linear OA(2574, 652, F25, 27) (dual of [652, 578, 28]-code) | [i] | ||
| 18 | Linear OA(2569, 645, F25, 27) (dual of [645, 576, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(2570, 647, F25, 27) (dual of [647, 577, 28]-code) | [i] | ||
| 20 | Linear OA(2571, 649, F25, 27) (dual of [649, 578, 28]-code) | [i] | ||
| 21 | Linear OA(2572, 677, F25, 27) (dual of [677, 605, 28]-code) | [i] | ||
| 22 | Linear OA(2573, 680, F25, 27) (dual of [680, 607, 28]-code) | [i] | ||
| 23 | Linear OA(2574, 683, F25, 27) (dual of [683, 609, 28]-code) | [i] | ||
| 24 | Linear OA(2552, 627, F25, 28) (dual of [627, 575, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(2550, 626, F25, 27) (dual of [626, 576, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(2555, 630, F25, 29) (dual of [630, 575, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(2552, 630, F25, 27) (dual of [630, 578, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(2558, 633, F25, 30) (dual of [633, 575, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(2553, 633, F25, 27) (dual of [633, 580, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(2561, 636, F25, 31) (dual of [636, 575, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(2554, 636, F25, 27) (dual of [636, 582, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(2564, 639, F25, 32) (dual of [639, 575, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(2555, 639, F25, 27) (dual of [639, 584, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(2567, 642, F25, 33) (dual of [642, 575, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(2556, 642, F25, 27) (dual of [642, 586, 28]-code) | [i] | ✔ | |
| 36 | Linear OA(2570, 645, F25, 34) (dual of [645, 575, 35]-code) | [i] | ✔ | |
| 37 | Linear OA(2557, 645, F25, 27) (dual of [645, 588, 28]-code) | [i] | ✔ | |
| 38 | Linear OA(2573, 648, F25, 35) (dual of [648, 575, 36]-code) | [i] | ✔ | |
| 39 | Linear OA(2558, 648, F25, 27) (dual of [648, 590, 28]-code) | [i] | ✔ | |
| 40 | Linear OA(2576, 651, F25, 36) (dual of [651, 575, 37]-code) | [i] | ✔ | |
| 41 | Linear OA(2559, 651, F25, 27) (dual of [651, 592, 28]-code) | [i] | ✔ | |
| 42 | Linear OA(2580, 654, F25, 37) (dual of [654, 574, 38]-code) | [i] | ✔ | |
| 43 | Linear OA(2581, 656, F25, 37) (dual of [656, 575, 38]-code) | [i] | ✔ | |
| 44 | Linear OA(2561, 654, F25, 27) (dual of [654, 593, 28]-code) | [i] | ✔ | |
| 45 | Linear OA(2562, 656, F25, 27) (dual of [656, 594, 28]-code) | [i] | ✔ | |
| 46 | Linear OA(2585, 660, F25, 38) (dual of [660, 575, 39]-code) | [i] | ✔ | |
| 47 | Linear OA(2564, 660, F25, 27) (dual of [660, 596, 28]-code) | [i] | ✔ | |
| 48 | Linear OA(2588, 663, F25, 39) (dual of [663, 575, 40]-code) | [i] | ✔ | |
| 49 | Linear OA(2565, 663, F25, 27) (dual of [663, 598, 28]-code) | [i] | ✔ | |
| 50 | Linear OA(2591, 666, F25, 40) (dual of [666, 575, 41]-code) | [i] | ✔ | |
| 51 | Linear OA(2594, 669, F25, 41) (dual of [669, 575, 42]-code) | [i] | ✔ | |
| 52 | Linear OA(2597, 672, F25, 42) (dual of [672, 575, 43]-code) | [i] | ✔ | |
| 53 | Linear OA(25100, 675, F25, 43) (dual of [675, 575, 44]-code) | [i] | ✔ | |
| 54 | Linear OA(25103, 677, F25, 44) (dual of [677, 574, 45]-code) | [i] | ✔ | |
| 55 | Linear OA(25104, 679, F25, 44) (dual of [679, 575, 45]-code) | [i] | ✔ | |
| 56 | Linear OA(25107, 682, F25, 45) (dual of [682, 575, 46]-code) | [i] | ✔ | |
| 57 | Linear OA(25110, 685, F25, 46) (dual of [685, 575, 47]-code) | [i] | ✔ | |
| 58 | Linear OA(2581, 658, F25, 36) (dual of [658, 577, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |