Information on Result #1201908
Digital (50, 76, 20165)-net over F64, using net defined by OOA based on linear OOA(6476, 20165, F64, 26, 26) (dual of [(20165, 26), 524214, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(6476, 262145, F64, 26) (dual of [262145, 262069, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(6476, 262147, F64, 26) (dual of [262147, 262071, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(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(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(6476, 262147, F64, 26) (dual of [262147, 262071, 27]-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 (51, 77, 20165)-net over F64 | [i] | Net Duplication | |
| 2 | Digital (63, 89, 20230)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (64, 90, 20245)-net over F64 | [i] | ||
| 4 | (88, 114, 20165)-net in base 16 | [i] | Base Change | |