Information on Result #725953
Linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2768, 772, F27, 28) (dual of [772, 704, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2767, 769, F27, 28) (dual of [769, 702, 29]-code) | [i] | ✔ | |
| 3 | Linear OA(2767, 760, F27, 30) (dual of [760, 693, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(2770, 763, F27, 31) (dual of [763, 693, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2774, 768, F27, 32) (dual of [768, 694, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(2773, 766, F27, 32) (dual of [766, 693, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(2777, 771, F27, 33) (dual of [771, 694, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2776, 769, F27, 33) (dual of [769, 693, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2780, 774, F27, 34) (dual of [774, 694, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(2779, 772, F27, 34) (dual of [772, 693, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(2783, 777, F27, 35) (dual of [777, 694, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2782, 775, F27, 35) (dual of [775, 693, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(2787, 780, F27, 36) (dual of [780, 693, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(2786, 778, F27, 36) (dual of [778, 692, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(2786, 780, F27, 36) (dual of [780, 694, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(2785, 778, F27, 36) (dual of [778, 693, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(2790, 783, F27, 37) (dual of [783, 693, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(2789, 781, F27, 37) (dual of [781, 692, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(2793, 784, F27, 38) (dual of [784, 691, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(2789, 783, F27, 37) (dual of [783, 694, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(2788, 781, F27, 37) (dual of [781, 693, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(2793, 786, F27, 38) (dual of [786, 693, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(2792, 784, F27, 38) (dual of [784, 692, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(2792, 786, F27, 38) (dual of [786, 694, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(2791, 784, F27, 38) (dual of [784, 693, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(2786, 760, F27, 40) (dual of [760, 674, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(2789, 763, F27, 41) (dual of [763, 674, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(2793, 768, F27, 42) (dual of [768, 675, 43]-code) | [i] | ✔ | |
| 29 | Linear OA(2792, 766, F27, 42) (dual of [766, 674, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(2796, 771, F27, 43) (dual of [771, 675, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(2795, 769, F27, 43) (dual of [769, 674, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(2799, 774, F27, 44) (dual of [774, 675, 45]-code) | [i] | ✔ | |
| 33 | Linear OA(2798, 772, F27, 44) (dual of [772, 674, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(27102, 777, F27, 45) (dual of [777, 675, 46]-code) | [i] | ✔ | |
| 35 | Linear OA(27101, 775, F27, 45) (dual of [775, 674, 46]-code) | [i] | ✔ | |
| 36 | Linear OA(27105, 780, F27, 46) (dual of [780, 675, 47]-code) | [i] | ✔ | |
| 37 | Linear OA(27104, 778, F27, 46) (dual of [778, 674, 47]-code) | [i] | ✔ | |
| 38 | Linear OA(27108, 780, F27, 47) (dual of [780, 672, 48]-code) | [i] | ✔ | |
| 39 | Linear OA(27107, 778, F27, 47) (dual of [778, 671, 48]-code) | [i] | ✔ | |
| 40 | Linear OA(27108, 783, F27, 47) (dual of [783, 675, 48]-code) | [i] | ✔ | |
| 41 | Linear OA(27107, 781, F27, 47) (dual of [781, 674, 48]-code) | [i] | ✔ | |
| 42 | Linear OA(27110, 781, F27, 48) (dual of [781, 671, 49]-code) | [i] | ✔ | |
| 43 | Linear OA(27110, 784, F27, 48) (dual of [784, 674, 49]-code) | [i] | ✔ | |
| 44 | Linear OOA(2753, 364, F27, 2, 28) (dual of [(364, 2), 675, 29]-NRT-code) | [i] | OOA Folding | |