Information on Result #1192328
Digital (96, 116, 52429)-net over F8, using net defined by OOA based on linear OOA(8116, 52429, F8, 20, 20) (dual of [(52429, 20), 1048464, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8116, 524290, F8, 20) (dual of [524290, 524174, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8116, 524294, F8, 20) (dual of [524294, 524178, 21]-code), using
- trace code [i] based on linear OA(6458, 262147, F64, 20) (dual of [262147, 262089, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- trace code [i] based on linear OA(6458, 262147, F64, 20) (dual of [262147, 262089, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8116, 524294, F8, 20) (dual of [524294, 524178, 21]-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 (97, 117, 52429)-net over F8 | [i] | Net Duplication | |