Information on Result #1197806
Digital (36, 50, 2820)-net over F27, using net defined by OOA based on linear OOA(2750, 2820, F27, 14, 14) (dual of [(2820, 14), 39430, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2750, 19740, F27, 14) (dual of [19740, 19690, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2750, 19742, F27, 14) (dual of [19742, 19692, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2710, 56, F27, 7) (dual of [56, 46, 8]-code), using
- linear OA(2740, 19686, F27, 14) (dual of [19686, 19646, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2750, 19742, F27, 14) (dual of [19742, 19692, 15]-code), using
Mode: Constructive and 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.