Information on Result #904311
Linear OOA(8146, 4197623, F81, 2, 10) (dual of [(4197623, 2), 8395200, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 3322, F81, 2, 5) (dual of [(3322, 2), 6635, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;162,81) [i]
- linear OOA(817, 3240, F81, 2, 5) (dual of [(3240, 2), 6473, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
Mode: Constructive and linear.
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 | Linear OOA(8146, 2098811, F81, 4, 10) (dual of [(2098811, 4), 8395198, 11]-NRT-code) | [i] | OOA Folding | |