Information on Result #1744470
Digital (42, 64, 24639)-net over F64, using net defined by OOA based on linear OOA(6464, 24639, F64, 27, 22) (dual of [(24639, 27), 665189, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6464, 98557, F64, 3, 22) (dual of [(98557, 3), 295607, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6464, 98557, F64, 2, 22) (dual of [(98557, 2), 197050, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6464, 131073, F64, 2, 22) (dual of [(131073, 2), 262082, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- OOA 2-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(6464, 131073, F64, 2, 22) (dual of [(131073, 2), 262082, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(6464, 98557, F64, 2, 22) (dual of [(98557, 2), 197050, 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.