Information on Result #1215607
Digital (119, 138, 932075)-net over F8, using (u, u+v)-construction based on
- digital (0, 9, 9)-net over F8, using
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 0 and N(F) ≥ 9, using
- the rational function field F8(x) [i]
- Niederreiter sequence [i]
- a shift-net [i]
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- digital (110, 129, 932066)-net over F8, using
- net defined by OOA [i] based on linear OOA(8129, 932066, F8, 19, 19) (dual of [(932066, 19), 17709125, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(8129, 8388595, F8, 19) (dual of [8388595, 8388466, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(8129, 8388595, F8, 19) (dual of [8388595, 8388466, 20]-code), using
- net defined by OOA [i] based on linear OOA(8129, 932066, F8, 19, 19) (dual of [(932066, 19), 17709125, 20]-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.