Information on Result #1772413
Digital (209, 250, 9727)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3250, 9727, F3, 2, 41) (dual of [(9727, 2), 19204, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 9858, F3, 2, 41) (dual of [(9858, 2), 19466, 42]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3250, 19716, F3, 41) (dual of [19716, 19466, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(36) [i] based on
- linear OA(3244, 19683, F3, 41) (dual of [19683, 19439, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(40) ⊂ Ce(36) [i] based on
- OOA 2-folding [i] based on linear OA(3250, 19716, F3, 41) (dual of [19716, 19466, 42]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.