Information on Result #1210891
Digital (208, 228, 1677725)-net over F4, using (u, u+v)-construction based on
- digital (0, 10, 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 (198, 218, 1677720)-net over F4, using
- net defined by OOA [i] based on linear OOA(4218, 1677720, F4, 22, 20) (dual of [(1677720, 22), 36909622, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4218, 8388601, F4, 2, 20) (dual of [(8388601, 2), 16776984, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4218, 8388602, F4, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using
- trace code [i] based on linear OOA(16109, 4194301, F16, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16109, 8388602, F16, 20) (dual of [8388602, 8388493, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
- OOA 2-folding [i] based on linear OA(16109, 8388602, F16, 20) (dual of [8388602, 8388493, 21]-code), using
- trace code [i] based on linear OOA(16109, 4194301, F16, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4218, 8388602, F4, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4218, 8388601, F4, 2, 20) (dual of [(8388601, 2), 16776984, 21]-NRT-code), using
- net defined by OOA [i] based on linear OOA(4218, 1677720, F4, 22, 20) (dual of [(1677720, 22), 36909622, 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.