Information on Result #904237
Linear OOA(8119, 4194383, F81, 2, 5) (dual of [(4194383, 2), 8388747, 6]-NRT-code), using (u, u+v)-construction 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(8117, 4194301, F81, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8117, 8388602, F81, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(8117, 8388602, F81, 5) (dual of [8388602, 8388585, 6]-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(8119, 4194382, F81, 3, 5) (dual of [(4194382, 3), 12583127, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(8119, 4194382, F81, 4, 5) (dual of [(4194382, 4), 16777509, 6]-NRT-code) | [i] | ||