Information on Result #617096
Linear OA(2566, 625, F25, 35) (dual of [625, 559, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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(5132, 1250, F5, 35) (dual of [1250, 1118, 36]-code) | [i] | Trace Code | |
| 2 | Linear OA(2583, 651, F25, 35) (dual of [651, 568, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2584, 654, F25, 35) (dual of [654, 570, 36]-code) | [i] | ||
| 4 | Linear OA(2585, 656, F25, 35) (dual of [656, 571, 36]-code) | [i] | ||
| 5 | Linear OA(2586, 677, F25, 35) (dual of [677, 591, 36]-code) | [i] | ||
| 6 | Linear OA(2587, 691, F25, 35) (dual of [691, 604, 36]-code) | [i] | ||
| 7 | Linear OA(2588, 693, F25, 35) (dual of [693, 605, 36]-code) | [i] | ||
| 8 | Linear OA(2589, 695, F25, 35) (dual of [695, 606, 36]-code) | [i] | ||
| 9 | Linear OA(2590, 697, F25, 35) (dual of [697, 607, 36]-code) | [i] | ||
| 10 | Linear OA(2591, 699, F25, 35) (dual of [699, 608, 36]-code) | [i] | ||
| 11 | Linear OA(2592, 729, F25, 35) (dual of [729, 637, 36]-code) | [i] | ||
| 12 | Linear OA(2593, 751, F25, 35) (dual of [751, 658, 36]-code) | [i] | ||
| 13 | Linear OA(2594, 753, F25, 35) (dual of [753, 659, 36]-code) | [i] | ||
| 14 | Linear OA(2595, 755, F25, 35) (dual of [755, 660, 36]-code) | [i] | ||
| 15 | Linear OA(2596, 757, F25, 35) (dual of [757, 661, 36]-code) | [i] | ||
| 16 | Linear OA(2597, 833, F25, 35) (dual of [833, 736, 36]-code) | [i] | ||
| 17 | Linear OA(2598, 938, F25, 35) (dual of [938, 840, 36]-code) | [i] | ||
| 18 | Linear OA(2592, 652, F25, 35) (dual of [652, 560, 36]-code) | [i] | Generalized (u, u+v)-Construction | |
| 19 | Linear OA(2594, 655, F25, 35) (dual of [655, 561, 36]-code) | [i] | ||
| 20 | Linear OA(2589, 649, F25, 35) (dual of [649, 560, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(2590, 651, F25, 35) (dual of [651, 561, 36]-code) | [i] | ||
| 22 | Linear OA(2591, 653, F25, 35) (dual of [653, 562, 36]-code) | [i] | ||
| 23 | Linear OA(2592, 655, F25, 35) (dual of [655, 563, 36]-code) | [i] | ||
| 24 | Linear OA(2593, 657, F25, 35) (dual of [657, 564, 36]-code) | [i] | ||
| 25 | Linear OA(2594, 677, F25, 35) (dual of [677, 583, 36]-code) | [i] | ||
| 26 | Linear OA(2568, 627, F25, 36) (dual of [627, 559, 37]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(2566, 627, F25, 35) (dual of [627, 561, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(2571, 630, F25, 37) (dual of [630, 559, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(2567, 630, F25, 35) (dual of [630, 563, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(2574, 633, F25, 38) (dual of [633, 559, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(2568, 633, F25, 35) (dual of [633, 565, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(2577, 636, F25, 39) (dual of [636, 559, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(2569, 636, F25, 35) (dual of [636, 567, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(2580, 639, F25, 40) (dual of [639, 559, 41]-code) | [i] | ✔ | |
| 35 | Linear OA(2570, 639, F25, 35) (dual of [639, 569, 36]-code) | [i] | ✔ | |
| 36 | Linear OA(2583, 642, F25, 41) (dual of [642, 559, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(2571, 642, F25, 35) (dual of [642, 571, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(2586, 645, F25, 42) (dual of [645, 559, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(2572, 645, F25, 35) (dual of [645, 573, 36]-code) | [i] | ✔ | |
| 40 | Linear OA(2589, 648, F25, 43) (dual of [648, 559, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(2573, 648, F25, 35) (dual of [648, 575, 36]-code) | [i] | ✔ | |
| 42 | Linear OA(2592, 651, F25, 44) (dual of [651, 559, 45]-code) | [i] | ✔ | |
| 43 | Linear OA(2574, 650, F25, 35) (dual of [650, 576, 36]-code) | [i] | ✔ | |
| 44 | Linear OA(2596, 654, F25, 45) (dual of [654, 558, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(2597, 656, F25, 45) (dual of [656, 559, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(2577, 654, F25, 35) (dual of [654, 577, 36]-code) | [i] | ✔ | |
| 47 | Linear OA(2578, 656, F25, 35) (dual of [656, 578, 36]-code) | [i] | ✔ | |
| 48 | Linear OA(25101, 660, F25, 46) (dual of [660, 559, 47]-code) | [i] | ✔ | |
| 49 | Linear OA(2580, 660, F25, 35) (dual of [660, 580, 36]-code) | [i] | ✔ | |
| 50 | Linear OA(25104, 663, F25, 47) (dual of [663, 559, 48]-code) | [i] | ✔ | |
| 51 | Linear OA(2581, 663, F25, 35) (dual of [663, 582, 36]-code) | [i] | ✔ | |
| 52 | Linear OA(25107, 666, F25, 48) (dual of [666, 559, 49]-code) | [i] | ✔ | |
| 53 | Linear OA(2582, 666, F25, 35) (dual of [666, 584, 36]-code) | [i] | ✔ | |
| 54 | Linear OA(25110, 669, F25, 49) (dual of [669, 559, 50]-code) | [i] | ✔ | |
| 55 | Linear OA(2583, 669, F25, 35) (dual of [669, 586, 36]-code) | [i] | ✔ | |
| 56 | Linear OA(2584, 672, F25, 35) (dual of [672, 588, 36]-code) | [i] | ✔ | |
| 57 | Linear OA(2585, 675, F25, 35) (dual of [675, 590, 36]-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 |