Information on Result #1521003
Linear OOA(372, 9841, F3, 3, 12) (dual of [(9841, 3), 29451, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(372, 9841, F3, 2, 12) (dual of [(9841, 2), 19610, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(372, 19682, F3, 12) (dual of [19682, 19610, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(372, 19683, F3, 12) (dual of [19683, 19611, 13]-code), using
- 1 times truncation [i] based on linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(372, 19683, F3, 12) (dual of [19683, 19611, 13]-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(372, 4920, F3, 5, 12) (dual of [(4920, 5), 24528, 13]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(372, 4920, F3, 15, 12) (dual of [(4920, 15), 73728, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |