Information on Result #617039
Linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(5116, 1250, F5, 31) (dual of [1250, 1134, 32]-code) | [i] | Trace Code | |
| 2 | Linear OA(2573, 651, F25, 31) (dual of [651, 578, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2574, 654, F25, 31) (dual of [654, 580, 32]-code) | [i] | ||
| 4 | Linear OA(2575, 656, F25, 31) (dual of [656, 581, 32]-code) | [i] | ||
| 5 | Linear OA(2576, 677, F25, 31) (dual of [677, 601, 32]-code) | [i] | ||
| 6 | Linear OA(2577, 691, F25, 31) (dual of [691, 614, 32]-code) | [i] | ||
| 7 | Linear OA(2578, 693, F25, 31) (dual of [693, 615, 32]-code) | [i] | ||
| 8 | Linear OA(2579, 695, F25, 31) (dual of [695, 616, 32]-code) | [i] | ||
| 9 | Linear OA(2580, 697, F25, 31) (dual of [697, 617, 32]-code) | [i] | ||
| 10 | Linear OA(2581, 699, F25, 31) (dual of [699, 618, 32]-code) | [i] | ||
| 11 | Linear OA(2582, 729, F25, 31) (dual of [729, 647, 32]-code) | [i] | ||
| 12 | Linear OA(2583, 751, F25, 31) (dual of [751, 668, 32]-code) | [i] | ||
| 13 | Linear OA(2584, 753, F25, 31) (dual of [753, 669, 32]-code) | [i] | ||
| 14 | Linear OA(2585, 781, F25, 31) (dual of [781, 696, 32]-code) | [i] | ||
| 15 | Linear OA(2586, 938, F25, 31) (dual of [938, 852, 32]-code) | [i] | ||
| 16 | Linear OA(2581, 649, F25, 31) (dual of [649, 568, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(2579, 647, F25, 31) (dual of [647, 568, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(2580, 649, F25, 31) (dual of [649, 569, 32]-code) | [i] | ||
| 19 | Linear OA(2581, 651, F25, 31) (dual of [651, 570, 32]-code) | [i] | ||
| 20 | Linear OA(2582, 653, F25, 31) (dual of [653, 571, 32]-code) | [i] | ||
| 21 | Linear OA(2583, 677, F25, 31) (dual of [677, 594, 32]-code) | [i] | ||
| 22 | Linear OA(2584, 680, F25, 31) (dual of [680, 596, 32]-code) | [i] | ||
| 23 | Linear OA(2560, 627, F25, 32) (dual of [627, 567, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(2558, 627, F25, 31) (dual of [627, 569, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(2563, 630, F25, 33) (dual of [630, 567, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(2559, 630, F25, 31) (dual of [630, 571, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(2566, 633, F25, 34) (dual of [633, 567, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(2560, 633, F25, 31) (dual of [633, 573, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(2569, 636, F25, 35) (dual of [636, 567, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(2561, 636, F25, 31) (dual of [636, 575, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(2572, 639, F25, 36) (dual of [639, 567, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(2562, 638, F25, 31) (dual of [638, 576, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(2575, 642, F25, 37) (dual of [642, 567, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(2564, 642, F25, 31) (dual of [642, 578, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(2578, 645, F25, 38) (dual of [645, 567, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(2565, 645, F25, 31) (dual of [645, 580, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(2581, 648, F25, 39) (dual of [648, 567, 40]-code) | [i] | ✔ | |
| 38 | Linear OA(2566, 648, F25, 31) (dual of [648, 582, 32]-code) | [i] | ✔ | |
| 39 | Linear OA(2584, 651, F25, 40) (dual of [651, 567, 41]-code) | [i] | ✔ | |
| 40 | Linear OA(2567, 651, F25, 31) (dual of [651, 584, 32]-code) | [i] | ✔ | |
| 41 | Linear OA(2588, 654, F25, 41) (dual of [654, 566, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(2589, 656, F25, 41) (dual of [656, 567, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(2569, 654, F25, 31) (dual of [654, 585, 32]-code) | [i] | ✔ | |
| 44 | Linear OA(2570, 656, F25, 31) (dual of [656, 586, 32]-code) | [i] | ✔ | |
| 45 | Linear OA(2593, 660, F25, 42) (dual of [660, 567, 43]-code) | [i] | ✔ | |
| 46 | Linear OA(2572, 660, F25, 31) (dual of [660, 588, 32]-code) | [i] | ✔ | |
| 47 | Linear OA(2596, 663, F25, 43) (dual of [663, 567, 44]-code) | [i] | ✔ | |
| 48 | Linear OA(2573, 663, F25, 31) (dual of [663, 590, 32]-code) | [i] | ✔ | |
| 49 | Linear OA(2599, 666, F25, 44) (dual of [666, 567, 45]-code) | [i] | ✔ | |
| 50 | Linear OA(2574, 666, F25, 31) (dual of [666, 592, 32]-code) | [i] | ✔ | |
| 51 | Linear OA(25102, 669, F25, 45) (dual of [669, 567, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(2575, 669, F25, 31) (dual of [669, 594, 32]-code) | [i] | ✔ | |
| 53 | Linear OA(25105, 672, F25, 46) (dual of [672, 567, 47]-code) | [i] | ✔ | |
| 54 | Linear OA(25108, 675, F25, 47) (dual of [675, 567, 48]-code) | [i] | ✔ | |