Information on Result #3266935
Digital (51, 76, 21846)-net over F64, using 641 times duplication based on digital (50, 75, 21846)-net over F64, using
- net defined by OOA [i] based on linear OOA(6475, 21846, F64, 25, 25) (dual of [(21846, 25), 546075, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(6475, 262153, F64, 25) (dual of [262153, 262078, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(6475, 262155, F64, 25) (dual of [262155, 262080, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(6473, 262144, F64, 25) (dual of [262144, 262071, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(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(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(6475, 262155, F64, 25) (dual of [262155, 262080, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(6475, 262153, F64, 25) (dual of [262153, 262078, 26]-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 | (89, 114, 21846)-net in base 16 | [i] | Base Change | |