Information on Result #1228552
Digital (45, 75, 1242)-net over F128, using (u, u+v)-construction based on
- digital (1, 16, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- digital (29, 59, 1092)-net over F128, using
- net defined by OOA [i] based on linear OOA(12859, 1092, F128, 30, 30) (dual of [(1092, 30), 32701, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(12859, 16380, F128, 30) (dual of [16380, 16321, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using
- OA 15-folding and stacking [i] based on linear OA(12859, 16380, F128, 30) (dual of [16380, 16321, 31]-code), using
- net defined by OOA [i] based on linear OOA(12859, 1092, F128, 30, 30) (dual of [(1092, 30), 32701, 31]-NRT-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
None.