Information on Result #1744174
Digital (38, 56, 58183)-net over F64, using net defined by OOA based on linear OOA(6456, 58183, F64, 21, 18) (dual of [(58183, 21), 1221787, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6456, 174550, F64, 3, 18) (dual of [(174550, 3), 523594, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6456, 174552, F64, 3, 18) (dual of [(174552, 3), 523600, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6456, 174552, F64, 18) (dual of [174552, 174496, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6456, 262163, F64, 18) (dual of [262163, 262107, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(6456, 262163, F64, 18) (dual of [262163, 262107, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6456, 174552, F64, 18) (dual of [174552, 174496, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(6456, 174552, F64, 3, 18) (dual of [(174552, 3), 523600, 19]-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.