Information on Result #3267779
Digital (43, 70, 1452)-net over F128, using 1281 times duplication based on digital (42, 69, 1452)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (3, 16, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- digital (26, 53, 1260)-net over F128, using
- net defined by OOA [i] based on linear OOA(12853, 1260, F128, 27, 27) (dual of [(1260, 27), 33967, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(12853, 16381, F128, 27) (dual of [16381, 16328, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(12853, 16381, F128, 27) (dual of [16381, 16328, 28]-code), using
- net defined by OOA [i] based on linear OOA(12853, 1260, F128, 27, 27) (dual of [(1260, 27), 33967, 28]-NRT-code), using
- digital (3, 16, 192)-net over F128, 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.