Information on Result #617930
Linear OA(27100, 365, F27, 56) (dual of [365, 265, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56
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(27100, 365, F27, 55) (dual of [365, 265, 56]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(27101, 366, F27, 57) (dual of [366, 265, 58]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(27102, 369, F27, 56) (dual of [369, 267, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(27104, 369, F27, 58) (dual of [369, 265, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(27103, 372, F27, 56) (dual of [372, 269, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(27107, 372, F27, 59) (dual of [372, 265, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(27110, 375, F27, 60) (dual of [375, 265, 61]-code) | [i] | ✔ | |
| 8 | Linear OOA(27100, 182, F27, 2, 56) (dual of [(182, 2), 264, 57]-NRT-code) | [i] | OOA Folding | |