Information on Result #865939
Linear OOA(2793, 265722, F27, 2, 24) (dual of [(265722, 2), 531351, 25]-NRT-code), using OOA 2-folding based on linear OA(2793, 531444, F27, 24) (dual of [531444, 531351, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2793, 531445, F27, 24) (dual of [531445, 531352, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 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
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
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 OOA(27105, 265750, F27, 2, 24) (dual of [(265750, 2), 531395, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(27106, 265760, F27, 2, 24) (dual of [(265760, 2), 531414, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(27107, 265770, F27, 2, 24) (dual of [(265770, 2), 531433, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(27108, 265774, F27, 2, 24) (dual of [(265774, 2), 531440, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(27109, 265786, F27, 2, 24) (dual of [(265786, 2), 531463, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(27110, 265790, F27, 2, 24) (dual of [(265790, 2), 531470, 25]-NRT-code) | [i] | ||
| 7 | OOA(27109, 265804, S27, 2, 24) | [i] | ||