Information on Result #1211314
Digital (187, 214, 80665)-net over F4, using (u, u+v)-construction based on
- digital (0, 13, 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 (174, 201, 80660)-net over F4, using
- net defined by OOA [i] based on linear OOA(4201, 80660, F4, 27, 27) (dual of [(80660, 27), 2177619, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4201, 1048581, F4, 27) (dual of [1048581, 1048380, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4201, 1048586, F4, 27) (dual of [1048586, 1048385, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4191, 1048576, F4, 26) (dual of [1048576, 1048385, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4201, 1048586, F4, 27) (dual of [1048586, 1048385, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4201, 1048581, F4, 27) (dual of [1048581, 1048380, 28]-code), using
- net defined by OOA [i] based on linear OOA(4201, 80660, F4, 27, 27) (dual of [(80660, 27), 2177619, 28]-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.