Information on Result #723498
Linear OA(2550, 624, F25, 27) (dual of [624, 574, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28
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(2565, 664, F25, 27) (dual of [664, 599, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2564, 661, F25, 27) (dual of [661, 597, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(2563, 658, F25, 27) (dual of [658, 595, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2565, 667, F25, 27) (dual of [667, 602, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2564, 664, F25, 27) (dual of [664, 600, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(2563, 661, F25, 27) (dual of [661, 598, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(2562, 658, F25, 27) (dual of [658, 596, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(2561, 655, F25, 27) (dual of [655, 594, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2563, 655, F25, 28) (dual of [655, 592, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(2567, 658, F25, 29) (dual of [658, 591, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(2561, 652, F25, 28) (dual of [652, 591, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(2566, 658, F25, 29) (dual of [658, 592, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(2570, 661, F25, 30) (dual of [661, 591, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(2560, 649, F25, 28) (dual of [649, 589, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(2564, 655, F25, 29) (dual of [655, 591, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(2569, 661, F25, 30) (dual of [661, 592, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(2573, 664, F25, 31) (dual of [664, 591, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(2559, 646, F25, 28) (dual of [646, 587, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(2567, 658, F25, 30) (dual of [658, 591, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(2572, 664, F25, 31) (dual of [664, 592, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(2576, 667, F25, 32) (dual of [667, 591, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(2558, 643, F25, 28) (dual of [643, 585, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(2570, 661, F25, 31) (dual of [661, 591, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(2575, 667, F25, 32) (dual of [667, 592, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(2579, 670, F25, 33) (dual of [670, 591, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(2557, 640, F25, 28) (dual of [640, 583, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2573, 664, F25, 32) (dual of [664, 591, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(2578, 670, F25, 33) (dual of [670, 592, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(2582, 673, F25, 34) (dual of [673, 591, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(2556, 637, F25, 28) (dual of [637, 581, 29]-code) | [i] | ✔ | |
| 31 | Linear OA(2576, 667, F25, 33) (dual of [667, 591, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(2581, 673, F25, 34) (dual of [673, 592, 35]-code) | [i] | ✔ | |
| 33 | Linear OA(2585, 676, F25, 35) (dual of [676, 591, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(2555, 634, F25, 28) (dual of [634, 579, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(2579, 670, F25, 34) (dual of [670, 591, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(2584, 676, F25, 35) (dual of [676, 592, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2589, 681, F25, 36) (dual of [681, 592, 37]-code) | [i] | ✔ | |
| 38 | Linear OA(2588, 679, F25, 36) (dual of [679, 591, 37]-code) | [i] | ✔ | |
| 39 | Linear OA(2554, 631, F25, 28) (dual of [631, 577, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(2582, 673, F25, 35) (dual of [673, 591, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(2588, 681, F25, 36) (dual of [681, 593, 37]-code) | [i] | ✔ | |
| 42 | Linear OA(2587, 679, F25, 36) (dual of [679, 592, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(2585, 676, F25, 36) (dual of [676, 591, 37]-code) | [i] | ✔ | |
| 44 | Linear OA(2554, 628, F25, 29) (dual of [628, 574, 30]-code) | [i] | ✔ | |
| 45 | Linear OA(2557, 631, F25, 30) (dual of [631, 574, 31]-code) | [i] | ✔ | |
| 46 | Linear OA(2560, 634, F25, 31) (dual of [634, 574, 32]-code) | [i] | ✔ | |
| 47 | Linear OA(2563, 637, F25, 32) (dual of [637, 574, 33]-code) | [i] | ✔ | |
| 48 | Linear OA(2566, 640, F25, 33) (dual of [640, 574, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(2569, 643, F25, 34) (dual of [643, 574, 35]-code) | [i] | ✔ | |
| 50 | Linear OA(2572, 646, F25, 35) (dual of [646, 574, 36]-code) | [i] | ✔ | |
| 51 | Linear OA(2575, 649, F25, 36) (dual of [649, 574, 37]-code) | [i] | ✔ | |
| 52 | Linear OA(2578, 652, F25, 37) (dual of [652, 574, 38]-code) | [i] | ✔ | |
| 53 | Linear OA(2582, 655, F25, 38) (dual of [655, 573, 39]-code) | [i] | ✔ | |
| 54 | Linear OA(2581, 655, F25, 38) (dual of [655, 574, 39]-code) | [i] | ✔ | |
| 55 | Linear OA(2585, 658, F25, 39) (dual of [658, 573, 40]-code) | [i] | ✔ | |
| 56 | Linear OA(2584, 655, F25, 39) (dual of [655, 571, 40]-code) | [i] | ✔ | |
| 57 | Linear OA(2588, 658, F25, 40) (dual of [658, 570, 41]-code) | [i] | ✔ | |
| 58 | Linear OA(2584, 658, F25, 39) (dual of [658, 574, 40]-code) | [i] | ✔ | |
| 59 | Linear OA(2588, 661, F25, 40) (dual of [661, 573, 41]-code) | [i] | ✔ | |
| 60 | Linear OA(2587, 658, F25, 40) (dual of [658, 571, 41]-code) | [i] | ✔ | |
| 61 | Linear OA(2591, 661, F25, 41) (dual of [661, 570, 42]-code) | [i] | ✔ | |
| 62 | Linear OA(2590, 658, F25, 41) (dual of [658, 568, 42]-code) | [i] | ✔ | |
| 63 | Linear OA(2587, 661, F25, 40) (dual of [661, 574, 41]-code) | [i] | ✔ | |
| 64 | Linear OA(2591, 664, F25, 41) (dual of [664, 573, 42]-code) | [i] | ✔ | |
| 65 | Linear OA(2590, 661, F25, 41) (dual of [661, 571, 42]-code) | [i] | ✔ | |
| 66 | Linear OA(2594, 664, F25, 42) (dual of [664, 570, 43]-code) | [i] | ✔ | |
| 67 | Linear OA(2593, 661, F25, 42) (dual of [661, 568, 43]-code) | [i] | ✔ | |
| 68 | Linear OA(2590, 664, F25, 41) (dual of [664, 574, 42]-code) | [i] | ✔ | |
| 69 | Linear OA(2594, 667, F25, 42) (dual of [667, 573, 43]-code) | [i] | ✔ | |
| 70 | Linear OA(2593, 664, F25, 42) (dual of [664, 571, 43]-code) | [i] | ✔ | |
| 71 | Linear OA(2597, 667, F25, 43) (dual of [667, 570, 44]-code) | [i] | ✔ | |
| 72 | Linear OA(2596, 664, F25, 43) (dual of [664, 568, 44]-code) | [i] | ✔ | |
| 73 | Linear OA(2593, 667, F25, 42) (dual of [667, 574, 43]-code) | [i] | ✔ | |
| 74 | Linear OA(2597, 670, F25, 43) (dual of [670, 573, 44]-code) | [i] | ✔ | |
| 75 | Linear OA(2596, 667, F25, 43) (dual of [667, 571, 44]-code) | [i] | ✔ | |
| 76 | Linear OA(25100, 670, F25, 44) (dual of [670, 570, 45]-code) | [i] | ✔ | |
| 77 | Linear OA(2599, 667, F25, 44) (dual of [667, 568, 45]-code) | [i] | ✔ | |
| 78 | Linear OA(2596, 670, F25, 43) (dual of [670, 574, 44]-code) | [i] | ✔ | |
| 79 | Linear OA(25100, 673, F25, 44) (dual of [673, 573, 45]-code) | [i] | ✔ | |
| 80 | Linear OA(2599, 670, F25, 44) (dual of [670, 571, 45]-code) | [i] | ✔ | |
| 81 | Linear OA(25103, 673, F25, 45) (dual of [673, 570, 46]-code) | [i] | ✔ | |
| 82 | Linear OA(25102, 670, F25, 45) (dual of [670, 568, 46]-code) | [i] | ✔ | |
| 83 | Linear OA(2599, 673, F25, 44) (dual of [673, 574, 45]-code) | [i] | ✔ | |
| 84 | Linear OA(25103, 676, F25, 45) (dual of [676, 573, 46]-code) | [i] | ✔ | |
| 85 | Linear OA(25102, 673, F25, 45) (dual of [673, 571, 46]-code) | [i] | ✔ | |
| 86 | Linear OA(25106, 676, F25, 46) (dual of [676, 570, 47]-code) | [i] | ✔ | |
| 87 | Linear OA(25105, 673, F25, 46) (dual of [673, 568, 47]-code) | [i] | ✔ | |
| 88 | Linear OA(25102, 676, F25, 45) (dual of [676, 574, 46]-code) | [i] | ✔ | |
| 89 | Linear OA(25107, 681, F25, 46) (dual of [681, 574, 47]-code) | [i] | ✔ | |
| 90 | Linear OA(25106, 679, F25, 46) (dual of [679, 573, 47]-code) | [i] | ✔ | |
| 91 | Linear OA(25105, 676, F25, 46) (dual of [676, 571, 47]-code) | [i] | ✔ | |
| 92 | Linear OA(25110, 681, F25, 47) (dual of [681, 571, 48]-code) | [i] | ✔ | |
| 93 | Linear OA(25109, 679, F25, 47) (dual of [679, 570, 48]-code) | [i] | ✔ | |
| 94 | Linear OA(25108, 676, F25, 47) (dual of [676, 568, 48]-code) | [i] | ✔ | |