Information on Result #1228479
Digital (38, 64, 1389)-net over F128, using (u, u+v)-construction based on
- digital (0, 13, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- digital (25, 51, 1260)-net over F128, using
- net defined by OOA [i] based on linear OOA(12851, 1260, F128, 26, 26) (dual of [(1260, 26), 32709, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(12851, 16380, F128, 26) (dual of [16380, 16329, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- discarding factors / shortening the dual code based on linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(12851, 16380, F128, 26) (dual of [16380, 16329, 27]-code), using
- net defined by OOA [i] based on linear OOA(12851, 1260, F128, 26, 26) (dual of [(1260, 26), 32709, 27]-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.