Information on Result #2874493
Linear OOA(3186, 1677721, F3, 5, 19) (dual of [(1677721, 5), 8388419, 20]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3181, 1677720, F3, 5, 19) (dual of [(1677720, 5), 8388419, 20]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(3181, large, F3, 19) (dual of [large, large−181, 20]-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(3187, 1677721, F3, 5, 19) (dual of [(1677721, 5), 8388418, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3188, 1677721, F3, 5, 19) (dual of [(1677721, 5), 8388417, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3189, 1677721, F3, 5, 19) (dual of [(1677721, 5), 8388416, 20]-NRT-code) | [i] | ||