Information on Result #1744176
Digital (39, 57, 75455)-net over F64, using net defined by OOA based on linear OOA(6457, 75455, F64, 21, 18) (dual of [(75455, 21), 1584498, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6457, 226366, F64, 3, 18) (dual of [(226366, 3), 679041, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6457, 226368, F64, 3, 18) (dual of [(226368, 3), 679047, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6457, 226368, F64, 18) (dual of [226368, 226311, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, 262167, F64, 18) (dual of [262167, 262110, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [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(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(6457, 262167, F64, 18) (dual of [262167, 262110, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6457, 226368, F64, 18) (dual of [226368, 226311, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(6457, 226368, F64, 3, 18) (dual of [(226368, 3), 679047, 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.