Information on Result #3266168
Digital (69, 89, 104902)-net over F32, using 321 times duplication based on digital (68, 88, 104902)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (1, 11, 44)-net over F32, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- digital (57, 77, 104858)-net over F32, using
- net defined by OOA [i] based on linear OOA(3277, 104858, F32, 20, 20) (dual of [(104858, 20), 2097083, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3277, 1048580, F32, 20) (dual of [1048580, 1048503, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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(19) ⊂ Ce(18) [i] based on
- OA 10-folding and stacking [i] based on linear OA(3277, 1048580, F32, 20) (dual of [1048580, 1048503, 21]-code), using
- net defined by OOA [i] based on linear OOA(3277, 104858, F32, 20, 20) (dual of [(104858, 20), 2097083, 21]-NRT-code), using
- digital (1, 11, 44)-net over F32, 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.