Information on Result #1217767
Digital (109, 132, 48323)-net over F9, using (u, u+v)-construction based on
- digital (0, 11, 10)-net over F9, using
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 0 and N(F) ≥ 10, using
- the rational function field F9(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- digital (98, 121, 48313)-net over F9, using
- net defined by OOA [i] based on linear OOA(9121, 48313, F9, 23, 23) (dual of [(48313, 23), 1111078, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9121, 531444, F9, 23) (dual of [531444, 531323, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9121, 531447, F9, 23) (dual of [531447, 531326, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(9121, 531447, F9, 23) (dual of [531447, 531326, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9121, 531444, F9, 23) (dual of [531444, 531323, 24]-code), using
- net defined by OOA [i] based on linear OOA(9121, 48313, F9, 23, 23) (dual of [(48313, 23), 1111078, 24]-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.