Information on Result #2797768
Linear OOA(3182, 4194302, F3, 4, 13) (dual of [(4194302, 4), 16777026, 14]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3178, 4194301, F3, 4, 13) (dual of [(4194301, 4), 16777026, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3178, 8388602, F3, 2, 13) (dual of [(8388602, 2), 16777026, 14]-NRT-code), using
- trace code [i] based on linear OOA(989, 4194301, F9, 2, 13) (dual of [(4194301, 2), 8388513, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(989, 8388602, F9, 13) (dual of [8388602, 8388513, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(989, large, F9, 13) (dual of [large, large−89, 14]-code), using
- OOA 2-folding [i] based on linear OA(989, 8388602, F9, 13) (dual of [8388602, 8388513, 14]-code), using
- trace code [i] based on linear OOA(989, 4194301, F9, 2, 13) (dual of [(4194301, 2), 8388513, 14]-NRT-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(3183, 4194302, F3, 4, 13) (dual of [(4194302, 4), 16777025, 14]-NRT-code) | [i] | OOA Duplication | |