Information on Result #1201082
Digital (18, 28, 52429)-net over F64, using net defined by OOA based on linear OOA(6428, 52429, F64, 10, 10) (dual of [(52429, 10), 524262, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(6428, 262145, F64, 10) (dual of [262145, 262117, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6428, 262147, F64, 10) (dual of [262147, 262119, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6425, 262144, F64, 9) (dual of [262144, 262119, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(6428, 262147, F64, 10) (dual of [262147, 262119, 11]-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 | Digital (23, 33, 52494)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (24, 34, 52509)-net over F64 | [i] | ||
| 3 | Digital (25, 35, 54445)-net over F64 | [i] | ||
| 4 | (32, 42, 52429)-net in base 16 | [i] | Base Change | |