Information on Result #617055
Linear OA(2560, 625, F25, 32) (dual of [625, 565, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(5120, 1250, F5, 32) (dual of [1250, 1130, 33]-code) | [i] | Trace Code | |
| 2 | Linear OA(2576, 651, F25, 32) (dual of [651, 575, 33]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2577, 654, F25, 32) (dual of [654, 577, 33]-code) | [i] | ||
| 4 | Linear OA(2578, 656, F25, 32) (dual of [656, 578, 33]-code) | [i] | ||
| 5 | Linear OA(2579, 677, F25, 32) (dual of [677, 598, 33]-code) | [i] | ||
| 6 | Linear OA(2580, 691, F25, 32) (dual of [691, 611, 33]-code) | [i] | ||
| 7 | Linear OA(2581, 693, F25, 32) (dual of [693, 612, 33]-code) | [i] | ||
| 8 | Linear OA(2582, 695, F25, 32) (dual of [695, 613, 33]-code) | [i] | ||
| 9 | Linear OA(2583, 697, F25, 32) (dual of [697, 614, 33]-code) | [i] | ||
| 10 | Linear OA(2584, 699, F25, 32) (dual of [699, 615, 33]-code) | [i] | ||
| 11 | Linear OA(2585, 729, F25, 32) (dual of [729, 644, 33]-code) | [i] | ||
| 12 | Linear OA(2586, 751, F25, 32) (dual of [751, 665, 33]-code) | [i] | ||
| 13 | Linear OA(2587, 753, F25, 32) (dual of [753, 666, 33]-code) | [i] | ||
| 14 | Linear OA(2588, 755, F25, 32) (dual of [755, 667, 33]-code) | [i] | ||
| 15 | Linear OA(2589, 781, F25, 32) (dual of [781, 692, 33]-code) | [i] | ||
| 16 | Linear OA(2581, 647, F25, 32) (dual of [647, 566, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2582, 649, F25, 32) (dual of [649, 567, 33]-code) | [i] | ||
| 18 | Linear OA(2583, 651, F25, 32) (dual of [651, 568, 33]-code) | [i] | ||
| 19 | Linear OA(2584, 653, F25, 32) (dual of [653, 569, 33]-code) | [i] | ||
| 20 | Linear OA(2585, 655, F25, 32) (dual of [655, 570, 33]-code) | [i] | ||
| 21 | Linear OA(2562, 627, F25, 33) (dual of [627, 565, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(2560, 627, F25, 32) (dual of [627, 567, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(2565, 630, F25, 34) (dual of [630, 565, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(2561, 630, F25, 32) (dual of [630, 569, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(2568, 633, F25, 35) (dual of [633, 565, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(2562, 633, F25, 32) (dual of [633, 571, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(2571, 636, F25, 36) (dual of [636, 565, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(2563, 636, F25, 32) (dual of [636, 573, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(2574, 639, F25, 37) (dual of [639, 565, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(2564, 639, F25, 32) (dual of [639, 575, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(2577, 642, F25, 38) (dual of [642, 565, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(2565, 641, F25, 32) (dual of [641, 576, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(2580, 645, F25, 39) (dual of [645, 565, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(2567, 645, F25, 32) (dual of [645, 578, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(2583, 648, F25, 40) (dual of [648, 565, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(2568, 648, F25, 32) (dual of [648, 580, 33]-code) | [i] | ✔ | |
| 37 | Linear OA(2586, 651, F25, 41) (dual of [651, 565, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(2569, 651, F25, 32) (dual of [651, 582, 33]-code) | [i] | ✔ | |
| 39 | Linear OA(2590, 654, F25, 42) (dual of [654, 564, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(2591, 656, F25, 42) (dual of [656, 565, 43]-code) | [i] | ✔ | |
| 41 | Linear OA(2571, 654, F25, 32) (dual of [654, 583, 33]-code) | [i] | ✔ | |
| 42 | Linear OA(2572, 656, F25, 32) (dual of [656, 584, 33]-code) | [i] | ✔ | |
| 43 | Linear OA(2595, 660, F25, 43) (dual of [660, 565, 44]-code) | [i] | ✔ | |
| 44 | Linear OA(2574, 660, F25, 32) (dual of [660, 586, 33]-code) | [i] | ✔ | |
| 45 | Linear OA(2598, 663, F25, 44) (dual of [663, 565, 45]-code) | [i] | ✔ | |
| 46 | Linear OA(2575, 663, F25, 32) (dual of [663, 588, 33]-code) | [i] | ✔ | |
| 47 | Linear OA(25101, 666, F25, 45) (dual of [666, 565, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(2576, 666, F25, 32) (dual of [666, 590, 33]-code) | [i] | ✔ | |
| 49 | Linear OA(25104, 669, F25, 46) (dual of [669, 565, 47]-code) | [i] | ✔ | |
| 50 | Linear OA(2577, 669, F25, 32) (dual of [669, 592, 33]-code) | [i] | ✔ | |
| 51 | Linear OA(25107, 672, F25, 47) (dual of [672, 565, 48]-code) | [i] | ✔ | |
| 52 | Linear OA(2578, 672, F25, 32) (dual of [672, 594, 33]-code) | [i] | ✔ | |
| 53 | Linear OA(25110, 675, F25, 48) (dual of [675, 565, 49]-code) | [i] | ✔ | |