Information on Result #1652181
Linear OOA(3245, 12198, F3, 5, 38) (dual of [(12198, 5), 60745, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3245, 12198, F3, 38) (dual of [12198, 11953, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3245, 19703, F3, 38) (dual of [19703, 19458, 39]-code), using
- (u, u+v)-construction [i] based on
- linear OA(319, 20, F3, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,3)), using
- dual of repetition code with length 20 [i]
- linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(319, 20, F3, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,3)), using
- (u, u+v)-construction [i] based on
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(3245, 3049, F3, 45, 38) (dual of [(3049, 45), 136960, 39]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |