MinT - Information on Result #1213430

Information on Result #1213430

Digital (96, 107, 3355446)-net over F₅, using (u,Â u+v)-construction based on

digital (0, 5, 6)-net over F₅, using
- net from sequence [i] based on digital (0, 5)-sequence over F₅, using
  - Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 0 and N(F) ≥ 6, using
    - the rational function field F₅(x) [i]
  - Niederreiter sequence [i]
digital (91, 102, 3355440)-net over F₅, using
- trace code for nets [i] based on digital (40, 51, 1677720)-net over F₂₅, using
  - net defined by OOA [i] based on linear OOA(25⁵¹, 1677720, F₂₅, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(25⁵¹, 8388601, F₂₅, 11) (dual of [8388601, 8388550, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁵¹, large, F₂₅, 11) (dual of [large, large−51, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

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 (136, 147, 6710892)-net over F₅	[i]		(u,Â u+v)-Construction for Nets