Information on Result #3266835
Digital (37, 55, 29128)-net over F64, using 641 times duplication based on digital (36, 54, 29128)-net over F64, using
- net defined by OOA [i] based on linear OOA(6454, 29128, F64, 18, 18) (dual of [(29128, 18), 524250, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(6454, 262152, F64, 18) (dual of [262152, 262098, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6454, 262155, F64, 18) (dual of [262155, 262101, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(14) [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(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to Ce(17) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(6454, 262155, F64, 18) (dual of [262155, 262101, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(6454, 262152, F64, 18) (dual of [262152, 262098, 19]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (48, 66, 29128)-net in base 32 | [i] | Base Change | |