Information on Result #1225148
Digital (45, 64, 3674)-net over F32, using (u, u+v)-construction based on
- digital (0, 9, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- digital (36, 55, 3641)-net over F32, using
- net defined by OOA [i] based on linear OOA(3255, 3641, F32, 19, 19) (dual of [(3641, 19), 69124, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3255, 32770, F32, 19) (dual of [32770, 32715, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3255, 32771, F32, 19) (dual of [32771, 32716, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(3255, 32768, F32, 19) (dual of [32768, 32713, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(3255, 32771, F32, 19) (dual of [32771, 32716, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3255, 32770, F32, 19) (dual of [32770, 32715, 20]-code), using
- net defined by OOA [i] based on linear OOA(3255, 3641, F32, 19, 19) (dual of [(3641, 19), 69124, 20]-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.