Information on Result #1646601
Linear OOA(3180, 7610, F3, 5, 30) (dual of [(7610, 5), 37870, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3180, 7610, F3, 2, 30) (dual of [(7610, 2), 15040, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3180, 9841, F3, 2, 30) (dual of [(9841, 2), 19502, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3180, 19682, F3, 30) (dual of [19682, 19502, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, 19683, F3, 30) (dual of [19683, 19503, 31]-code), using
- 1 times truncation [i] based on linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, 19683, F3, 30) (dual of [19683, 19503, 31]-code), using
- OOA 2-folding [i] based on linear OA(3180, 19682, F3, 30) (dual of [19682, 19502, 31]-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(3180, 2536, F3, 35, 30) (dual of [(2536, 35), 88580, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |