Information on Result #2508637
Linear OOA(8124, large, F8, 2, 14), using 9 times NRT-code embedding in larger space based on linear OOA(8106, 8388602, F8, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
- trace code [i] based on linear OOA(6453, 4194301, F64, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-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(8125, large, F8, 2, 14) | [i] | OOA Duplication | |