Information on Result #1744874
Digital (58, 85, 37848)-net over F64, using net defined by OOA based on linear OOA(6485, 37848, F64, 33, 27) (dual of [(37848, 33), 1248899, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6485, 189241, F64, 3, 27) (dual of [(189241, 3), 567638, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6485, 189244, F64, 3, 27) (dual of [(189244, 3), 567647, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6485, 189244, F64, 27) (dual of [189244, 189159, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(6485, 262171, F64, 27) (dual of [262171, 262086, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(19) [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(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- construction X applied to Ce(26) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(6485, 262171, F64, 27) (dual of [262171, 262086, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6485, 189244, F64, 27) (dual of [189244, 189159, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(6485, 189244, F64, 3, 27) (dual of [(189244, 3), 567647, 28]-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.