Information on Result #1642526
Linear OOA(3108, 7544, F3, 5, 18) (dual of [(7544, 5), 37612, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3108, 7544, F3, 2, 18) (dual of [(7544, 2), 14980, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3108, 9841, F3, 2, 18) (dual of [(9841, 2), 19574, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3108, 19682, F3, 18) (dual of [19682, 19574, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3108, 19683, F3, 18) (dual of [19683, 19575, 19]-code), using
- 1 times truncation [i] based on linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3108, 19683, F3, 18) (dual of [19683, 19575, 19]-code), using
- OOA 2-folding [i] based on linear OA(3108, 19682, F3, 18) (dual of [19682, 19574, 19]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3108, 3771, F3, 25, 18) (dual of [(3771, 25), 94167, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |