Information on Result #3266228
Digital (57, 80, 3023)-net over F32, using 321 times duplication based on digital (56, 79, 3023)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (1, 12, 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 (44, 67, 2979)-net over F32, using
- net defined by OOA [i] based on linear OOA(3267, 2979, F32, 23, 23) (dual of [(2979, 23), 68450, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(3267, 32770, F32, 23) (dual of [32770, 32703, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3267, 32771, F32, 23) (dual of [32771, 32704, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3267, 32771, F32, 23) (dual of [32771, 32704, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(3267, 32770, F32, 23) (dual of [32770, 32703, 24]-code), using
- net defined by OOA [i] based on linear OOA(3267, 2979, F32, 23, 23) (dual of [(2979, 23), 68450, 24]-NRT-code), using
- digital (1, 12, 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.