Information on Result #1747020
Digital (16, 29, 4464)-net over F128, using net defined by OOA based on linear OOA(12829, 4464, F128, 15, 13) (dual of [(4464, 15), 66931, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12829, 8929, F128, 3, 13) (dual of [(8929, 3), 26758, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12829, 8929, F128, 13) (dual of [8929, 8900, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, 16398, F128, 13) (dual of [16398, 16369, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(12829, 16398, F128, 13) (dual of [16398, 16369, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12829, 8929, F128, 13) (dual of [8929, 8900, 14]-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.