Information on Result #1083060
Linear OOA(12868, 4194302, F128, 4, 12) (dual of [(4194302, 4), 16777140, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(12847, 2097151, F128, 4, 12) (dual of [(2097151, 4), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(12847, 4194302, F128, 2, 12) (dual of [(4194302, 2), 8388557, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12845, 4194301, F128, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12845, 8388602, F128, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(12845, 8388602, F128, 12) (dual of [8388602, 8388557, 13]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12845, 4194301, F128, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(12847, 4194302, F128, 2, 12) (dual of [(4194302, 2), 8388557, 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(12869, 4194302, F128, 4, 12) (dual of [(4194302, 4), 16777139, 13]-NRT-code) | [i] | OOA Duplication | |