Information on Result #1210596
Digital (112, 129, 131077)-net over F4, using (u, u+v)-construction based on
- digital (0, 8, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (104, 121, 131072)-net over F4, using
- net defined by OOA [i] based on linear OOA(4121, 131072, F4, 17, 17) (dual of [(131072, 17), 2228103, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 8-folding and stacking with additional row [i] based on linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using
- net defined by OOA [i] based on linear OOA(4121, 131072, F4, 17, 17) (dual of [(131072, 17), 2228103, 18]-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.