Information on Result #1192668
Digital (121, 146, 43691)-net over F8, using net defined by OOA based on linear OOA(8146, 43691, F8, 25, 25) (dual of [(43691, 25), 1092129, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8146, 524293, F8, 25) (dual of [524293, 524147, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8146, 524294, F8, 25) (dual of [524294, 524148, 26]-code), using
- trace code [i] based on linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [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(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8146, 524294, F8, 25) (dual of [524294, 524148, 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 | Digital (122, 147, 43691)-net over F8 | [i] | Net Duplication | |