Information on Result #1831695
OOA(2744, 4197541, S27, 2, 8), using (u, u+v)-construction based on
- OOA(278, 3240, S27, 2, 4), using
- OOA 2-folding [i] based on OA(278, 6480, S27, 4), using
- discarding parts of the base [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- 1 times truncation [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- discarding parts of the base [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- OOA 2-folding [i] based on OA(278, 6480, S27, 4), using
- linear OOA(2736, 4194301, F27, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(2745, 4197541, S27, 2, 8) | [i] | OOA Duplication | |
| 2 | OOA(2744, 2098770, S27, 10, 8) | [i] | OOA Folding and Stacking with Additional Row | |