Information on Result #2797648
Linear OOA(3166, 4194302, F3, 4, 12) (dual of [(4194302, 4), 16777042, 13]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3162, 4194301, F3, 4, 12) (dual of [(4194301, 4), 16777042, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3162, 8388602, F3, 2, 12) (dual of [(8388602, 2), 16777042, 13]-NRT-code), using
- trace code [i] based on linear OOA(981, 4194301, F9, 2, 12) (dual of [(4194301, 2), 8388521, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(981, 8388602, F9, 12) (dual of [8388602, 8388521, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- OOA 2-folding [i] based on linear OA(981, 8388602, F9, 12) (dual of [8388602, 8388521, 13]-code), using
- trace code [i] based on linear OOA(981, 4194301, F9, 2, 12) (dual of [(4194301, 2), 8388521, 13]-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(3167, 4194302, F3, 4, 12) (dual of [(4194302, 4), 16777041, 13]-NRT-code) | [i] | OOA Duplication | |