Information on Result #904556
Linear OOA(8178, 4194383, F81, 2, 18) (dual of [(4194383, 2), 8388688, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 82, F81, 2, 9) (dual of [(82, 2), 155, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;155,81) [i]
- linear OOA(8169, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-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(8178, 2097191, F81, 4, 18) (dual of [(2097191, 4), 8388686, 19]-NRT-code) | [i] | OOA Folding | |