Information on Result #1225258
Digital (54, 76, 3023)-net over F32, using (u, u+v)-construction 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 (42, 64, 2979)-net over F32, using
- net defined by OOA [i] based on linear OOA(3264, 2979, F32, 22, 22) (dual of [(2979, 22), 65474, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(3264, 32769, F32, 22) (dual of [32769, 32705, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3264, 32771, F32, 22) (dual of [32771, 32707, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- 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(3261, 32768, F32, 21) (dual of [32768, 32707, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(3264, 32771, F32, 22) (dual of [32771, 32707, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(3264, 32769, F32, 22) (dual of [32769, 32705, 23]-code), using
- net defined by OOA [i] based on linear OOA(3264, 2979, F32, 22, 22) (dual of [(2979, 22), 65474, 23]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (55, 77, 3023)-net over F32 | [i] | Net Duplication | |