Information on Result #1744436
Digital (25, 47, 513)-net over F64, using net defined by OOA based on linear OOA(6447, 513, F64, 27, 22) (dual of [(513, 27), 13804, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6447, 2053, F64, 3, 22) (dual of [(2053, 3), 6112, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6447, 2055, F64, 3, 22) (dual of [(2055, 3), 6118, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6447, 2055, F64, 2, 22) (dual of [(2055, 2), 4063, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6447, 4110, F64, 22) (dual of [4110, 4063, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(644, 14, F64, 4) (dual of [14, 10, 5]-code or 14-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(21) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(6447, 4110, F64, 22) (dual of [4110, 4063, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6447, 2055, F64, 2, 22) (dual of [(2055, 2), 4063, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6447, 2055, F64, 3, 22) (dual of [(2055, 3), 6118, 23]-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.