Information on Result #696237
Linear OA(2728, 366, F27, 15) (dual of [366, 338, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(2728, 365, F27, 15) (dual of [365, 337, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2727, 365, F27, 14) (dual of [365, 338, 15]-code), using an extension Ce(13) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(2786, 1098, F27, 31) (dual of [1098, 1012, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2728, 183, F27, 2, 15) (dual of [(183, 2), 338, 16]-NRT-code) | [i] | OOA Folding | |