Information on Result #1744870
Digital (56, 83, 27136)-net over F64, using net defined by OOA based on linear OOA(6483, 27136, F64, 33, 27) (dual of [(27136, 33), 895405, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6483, 135681, F64, 3, 27) (dual of [(135681, 3), 406960, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6483, 135681, F64, 27) (dual of [135681, 135598, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(6483, 262163, F64, 27) (dual of [262163, 262080, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(6479, 262144, F64, 27) (dual of [262144, 262065, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(6483, 262163, F64, 27) (dual of [262163, 262080, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6483, 135681, F64, 27) (dual of [135681, 135598, 28]-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.