Information on Result #725938
Linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], 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, 771, F27, 28) (dual of [771, 703, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2767, 768, F27, 28) (dual of [768, 701, 29]-code) | [i] | ✔ | |
| 3 | Linear OA(2783, 758, F27, 39) (dual of [758, 675, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2786, 761, F27, 40) (dual of [761, 675, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(2789, 764, F27, 41) (dual of [764, 675, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2792, 767, F27, 42) (dual of [767, 675, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2795, 770, F27, 43) (dual of [770, 675, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(2798, 770, F27, 44) (dual of [770, 672, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(2798, 773, F27, 44) (dual of [773, 675, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(27101, 773, F27, 45) (dual of [773, 672, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(27101, 776, F27, 45) (dual of [776, 675, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(27104, 776, F27, 46) (dual of [776, 672, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(27104, 779, F27, 46) (dual of [779, 675, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(27107, 779, F27, 47) (dual of [779, 672, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(27107, 782, F27, 47) (dual of [782, 675, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(27110, 782, F27, 48) (dual of [782, 672, 49]-code) | [i] | ✔ | |
| 17 | Linear OOA(2753, 364, F27, 2, 28) (dual of [(364, 2), 675, 29]-NRT-code) | [i] | OOA Folding | |