Information on Result #1228369
Digital (36, 56, 1938)-net over F128, using (u, u+v)-construction based on
- digital (7, 17, 300)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (1, 6, 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 (1, 11, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128 (see above)
- digital (1, 6, 150)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (19, 39, 1638)-net over F128, using
- net defined by OOA [i] based on linear OOA(12839, 1638, F128, 20, 20) (dual of [(1638, 20), 32721, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(12839, 16380, F128, 20) (dual of [16380, 16341, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(12839, 16380, F128, 20) (dual of [16380, 16341, 21]-code), using
- net defined by OOA [i] based on linear OOA(12839, 1638, F128, 20, 20) (dual of [(1638, 20), 32721, 21]-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.