Information on Result #1211452
Digital (162, 192, 4374)-net over F4, using (u, u+v)-construction based on
- digital (0, 15, 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 (147, 177, 4369)-net over F4, using
- net defined by OOA [i] based on linear OOA(4177, 4369, F4, 30, 30) (dual of [(4369, 30), 130893, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(4177, 65535, F4, 30) (dual of [65535, 65358, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using
- OA 15-folding and stacking [i] based on linear OA(4177, 65535, F4, 30) (dual of [65535, 65358, 31]-code), using
- net defined by OOA [i] based on linear OOA(4177, 4369, F4, 30, 30) (dual of [(4369, 30), 130893, 31]-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.