Information on Result #1215651
Digital (114, 134, 209740)-net over F8, using (u, u+v)-construction based on
- digital (4, 14, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- digital (100, 120, 209715)-net over F8, using
- net defined by OOA [i] based on linear OOA(8120, 209715, F8, 20, 20) (dual of [(209715, 20), 4194180, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8120, 2097150, F8, 20) (dual of [2097150, 2097030, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(8120, 2097150, F8, 20) (dual of [2097150, 2097030, 21]-code), using
- net defined by OOA [i] based on linear OOA(8120, 209715, F8, 20, 20) (dual of [(209715, 20), 4194180, 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.