Information on Result #1647268
Linear OOA(3189, 2648731, F3, 5, 19) (dual of [(2648731, 5), 13243466, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3189, 2648731, F3, 3, 19) (dual of [(2648731, 3), 7946004, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3189, 2796203, F3, 3, 19) (dual of [(2796203, 3), 8388420, 20]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3187, 2796203, F3, 3, 19) (dual of [(2796203, 3), 8388422, 20]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- 32 times duplication [i] based on linear OOA(3187, 2796203, F3, 3, 19) (dual of [(2796203, 3), 8388422, 20]-NRT-code), using
Mode: 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(3189, 1324365, F3, 25, 19) (dual of [(1324365, 25), 33108936, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |