Information on Result #1744766
Digital (33, 59, 718)-net over F64, using net defined by OOA based on linear OOA(6459, 718, F64, 33, 26) (dual of [(718, 33), 23635, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6459, 3591, F64, 3, 26) (dual of [(3591, 3), 10714, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6459, 3594, F64, 3, 26) (dual of [(3594, 3), 10723, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6459, 3594, F64, 26) (dual of [3594, 3535, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(6459, 4122, F64, 26) (dual of [4122, 4063, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(16) [i] based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6433, 4096, F64, 17) (dual of [4096, 4063, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(648, 26, F64, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- construction X applied to Ce(25) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(6459, 4122, F64, 26) (dual of [4122, 4063, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6459, 3594, F64, 26) (dual of [3594, 3535, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(6459, 3594, F64, 3, 26) (dual of [(3594, 3), 10723, 27]-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.