Information on Result #1746746
Digital (44, 78, 1247)-net over F81, using net defined by OOA based on linear OOA(8178, 1247, F81, 44, 34) (dual of [(1247, 44), 54790, 35]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8178, 6236, F81, 4, 34) (dual of [(6236, 4), 24866, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8178, 6238, F81, 4, 34) (dual of [(6238, 4), 24874, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8178, 6238, F81, 34) (dual of [6238, 6160, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8178, 6596, F81, 34) (dual of [6596, 6518, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(21) [i] based on
- linear OA(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8111, 35, F81, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,81)), using
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using
- Reed–Solomon code RS(70,81) [i]
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using
- construction X applied to Ce(33) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8178, 6596, F81, 34) (dual of [6596, 6518, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8178, 6238, F81, 34) (dual of [6238, 6160, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(8178, 6238, F81, 4, 34) (dual of [(6238, 4), 24874, 35]-NRT-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.