Information on Result #3177240
Digital (70, 104, 1159)-net over F27, using 1 times m-reduction based on digital (70, 105, 1159)-net over F27, using
- net defined by OOA [i] based on linear OOA(27105, 1159, F27, 35, 35) (dual of [(1159, 35), 40460, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(27105, 19704, F27, 35) (dual of [19704, 19599, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(27105, 19706, F27, 35) (dual of [19706, 19601, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(27100, 19683, F27, 35) (dual of [19683, 19583, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(275, 23, F27, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(27105, 19706, F27, 35) (dual of [19706, 19601, 36]-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(27105, 19704, F27, 35) (dual of [19704, 19599, 36]-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.