Information on Result #2509045
Linear OOA(8148, large, F8, 2, 19), using 1 times NRT-code embedding in larger space based on linear OOA(8146, 8388602, F8, 2, 19) (dual of [(8388602, 2), 16777058, 20]-NRT-code), using
- trace code [i] based on linear OOA(6473, 4194301, F64, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- OOA 2-folding [i] based on linear OA(6473, 8388602, F64, 19) (dual of [8388602, 8388529, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(8149, large, F8, 2, 19) | [i] | OOA Duplication | |