Information on Result #1221624
Digital (84, 110, 30074)-net over F25, using (u, u+v)-construction based on
- digital (0, 13, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- digital (71, 97, 30048)-net over F25, using
- net defined by OOA [i] based on linear OOA(2597, 30048, F25, 26, 26) (dual of [(30048, 26), 781151, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(2597, 390624, F25, 26) (dual of [390624, 390527, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- discarding factors / shortening the dual code based on linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(2597, 390624, F25, 26) (dual of [390624, 390527, 27]-code), using
- net defined by OOA [i] based on linear OOA(2597, 30048, F25, 26, 26) (dual of [(30048, 26), 781151, 27]-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.