Information on Result #1831696
OOA(2749, 4197541, S27, 2, 9), 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(2741, 4194301, F27, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2741, 8388602, F27, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2741, large, F27, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2741, large, F27, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(2741, 8388602, F27, 9) (dual of [8388602, 8388561, 10]-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(2750, 4197541, S27, 2, 9) | [i] | OOA Duplication | |
| 2 | OOA(2749, 2098770, S27, 10, 9) | [i] | OOA Folding and Stacking with Additional Row | |