MinT - Information on Result #1208546

Information on Result #1208546

Digital (201, 220, 932395)-net over F₃, using (u,Â u+v)-construction based on

digital (27, 36, 328)-net over F₃, using
- trace code for nets [i] based on digital (0, 9, 82)-net over F₈₁, using
  - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
      - the rational function field F₈₁(x) [i]
    - Niederreiter sequence [i]
digital (165, 184, 932067)-net over F₃, using
- net defined by OOA [i] based on linear OOA(3¹⁸⁴, 932067, F₃, 21, 19) (dual of [(932067, 21), 19573223, 20]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁸⁴, 2796202, F₃, 3, 19) (dual of [(2796202, 3), 8388422, 20]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁸¹, 2796201, F₃, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (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 (201, 219, 932395)-net over F₃	[i]		m-Reduction