Information on Result #2807410
Linear OOA(12875, 2097152, F128, 4, 18) (dual of [(2097152, 4), 8388533, 19]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(12871, 2097151, F128, 4, 18) (dual of [(2097151, 4), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(12871, 4194302, F128, 2, 18) (dual of [(4194302, 2), 8388533, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12869, 4194301, F128, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12869, 8388602, F128, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12869, large, F128, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(12869, large, F128, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(12869, 8388602, F128, 18) (dual of [8388602, 8388533, 19]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12869, 4194301, F128, 2, 18) (dual of [(4194301, 2), 8388533, 19]-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(12876, 2097152, F128, 4, 18) (dual of [(2097152, 4), 8388532, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12877, 2097152, F128, 4, 18) (dual of [(2097152, 4), 8388531, 19]-NRT-code) | [i] | ||