Information on Result #2806785
Linear OOA(8179, 2097152, F81, 4, 19) (dual of [(2097152, 4), 8388529, 20]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8175, 2097151, F81, 4, 19) (dual of [(2097151, 4), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8175, 4194302, F81, 2, 19) (dual of [(4194302, 2), 8388529, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8173, 4194301, F81, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8173, 8388602, F81, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- OOA 2-folding [i] based on linear OA(8173, 8388602, F81, 19) (dual of [8388602, 8388529, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8173, 4194301, F81, 2, 19) (dual of [(4194301, 2), 8388529, 20]-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(8180, 2097152, F81, 4, 19) (dual of [(2097152, 4), 8388528, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8181, 2097152, F81, 4, 19) (dual of [(2097152, 4), 8388527, 20]-NRT-code) | [i] | ||