Information on Result #616966
Linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(598, 1250, F5, 26) (dual of [1250, 1152, 27]-code) | [i] | Trace Code | |
| 2 | Linear OA(2562, 651, F25, 26) (dual of [651, 589, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2563, 654, F25, 26) (dual of [654, 591, 27]-code) | [i] | ||
| 4 | Linear OA(2564, 656, F25, 26) (dual of [656, 592, 27]-code) | [i] | ||
| 5 | Linear OA(2565, 677, F25, 26) (dual of [677, 612, 27]-code) | [i] | ||
| 6 | Linear OA(2566, 691, F25, 26) (dual of [691, 625, 27]-code) | [i] | ||
| 7 | Linear OA(2567, 693, F25, 26) (dual of [693, 626, 27]-code) | [i] | ||
| 8 | Linear OA(2568, 695, F25, 26) (dual of [695, 627, 27]-code) | [i] | ||
| 9 | Linear OA(2569, 697, F25, 26) (dual of [697, 628, 27]-code) | [i] | ||
| 10 | Linear OA(2570, 703, F25, 26) (dual of [703, 633, 27]-code) | [i] | ||
| 11 | Linear OA(2571, 729, F25, 26) (dual of [729, 658, 27]-code) | [i] | ||
| 12 | Linear OA(2569, 646, F25, 26) (dual of [646, 577, 27]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(2571, 649, F25, 26) (dual of [649, 578, 27]-code) | [i] | ||
| 14 | Linear OA(2566, 643, F25, 26) (dual of [643, 577, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(2567, 645, F25, 26) (dual of [645, 578, 27]-code) | [i] | ||
| 16 | Linear OA(2568, 647, F25, 26) (dual of [647, 579, 27]-code) | [i] | ||
| 17 | Linear OA(2569, 649, F25, 26) (dual of [649, 580, 27]-code) | [i] | ||
| 18 | Linear OA(2570, 677, F25, 26) (dual of [677, 607, 27]-code) | [i] | ||
| 19 | Linear OA(2571, 680, F25, 26) (dual of [680, 609, 27]-code) | [i] | ||
| 20 | Linear OA(2556, 662, F25, 26) (dual of [662, 606, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 21 | Linear OA(2557, 700, F25, 26) (dual of [700, 643, 27]-code) | [i] | ||
| 22 | Linear OA(2558, 766, F25, 26) (dual of [766, 708, 27]-code) | [i] | ||
| 23 | Linear OA(2559, 859, F25, 26) (dual of [859, 800, 27]-code) | [i] | ||
| 24 | Linear OA(2550, 626, F25, 27) (dual of [626, 576, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(2550, 628, F25, 26) (dual of [628, 578, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(2553, 629, F25, 28) (dual of [629, 576, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2551, 631, F25, 26) (dual of [631, 580, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(2556, 632, F25, 29) (dual of [632, 576, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(2552, 634, F25, 26) (dual of [634, 582, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(2559, 635, F25, 30) (dual of [635, 576, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(2553, 637, F25, 26) (dual of [637, 584, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(2562, 638, F25, 31) (dual of [638, 576, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(2554, 640, F25, 26) (dual of [640, 586, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(2565, 641, F25, 32) (dual of [641, 576, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(2555, 643, F25, 26) (dual of [643, 588, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(2568, 644, F25, 33) (dual of [644, 576, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2556, 646, F25, 26) (dual of [646, 590, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(2571, 647, F25, 34) (dual of [647, 576, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(2557, 649, F25, 26) (dual of [649, 592, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(2574, 650, F25, 35) (dual of [650, 576, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(2558, 651, F25, 26) (dual of [651, 593, 27]-code) | [i] | ✔ | |
| 42 | Linear OA(2559, 653, F25, 26) (dual of [653, 594, 27]-code) | [i] | ✔ | |
| 43 | Linear OA(2557, 651, F25, 25) (dual of [651, 594, 26]-code) | [i] | ✔ | |
| 44 | Linear OA(2578, 654, F25, 36) (dual of [654, 576, 37]-code) | [i] | ✔ | |
| 45 | Linear OA(2561, 656, F25, 26) (dual of [656, 595, 27]-code) | [i] | ✔ | |
| 46 | Linear OA(2562, 658, F25, 26) (dual of [658, 596, 27]-code) | [i] | ✔ | |
| 47 | Linear OA(2583, 659, F25, 37) (dual of [659, 576, 38]-code) | [i] | ✔ | |
| 48 | Linear OA(2563, 661, F25, 26) (dual of [661, 598, 27]-code) | [i] | ✔ | |
| 49 | Linear OA(2586, 662, F25, 38) (dual of [662, 576, 39]-code) | [i] | ✔ | |
| 50 | Linear OA(2564, 664, F25, 26) (dual of [664, 600, 27]-code) | [i] | ✔ | |
| 51 | Linear OA(2589, 665, F25, 39) (dual of [665, 576, 40]-code) | [i] | ✔ | |
| 52 | Linear OA(2592, 668, F25, 40) (dual of [668, 576, 41]-code) | [i] | ✔ | |
| 53 | Linear OA(2595, 671, F25, 41) (dual of [671, 576, 42]-code) | [i] | ✔ | |
| 54 | Linear OA(2598, 674, F25, 42) (dual of [674, 576, 43]-code) | [i] | ✔ | |
| 55 | Linear OA(25101, 677, F25, 43) (dual of [677, 576, 44]-code) | [i] | ✔ | |
| 56 | Linear OA(25105, 681, F25, 44) (dual of [681, 576, 45]-code) | [i] | ✔ | |
| 57 | Linear OA(25108, 684, F25, 45) (dual of [684, 576, 46]-code) | [i] | ✔ | |
| 58 | Linear OA(2576, 653, F25, 35) (dual of [653, 577, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 59 | Linear OA(2560, 655, F25, 26) (dual of [655, 595, 27]-code) | [i] | ✔ | |