MinT - Information on Result #3194696

Information on Result #3194696

Digital (83, 87, large)-net over F₃, using t-expansion based on digital (81, 87, large)-net over F₃, using

net defined by OOA [i] based on linear OOA(3⁸⁷, large, F₃, 6, 6), using
- appending kth column [i] based on linear OOA(3⁸⁷, large, F₃, 5, 6), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3³, 4, F₃, 5, 3) (dual of [(4, 5), 17, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(5;17,3) [i]
    2. linear OOA(3⁸⁴, 8388602, F₃, 5, 6) (dual of [(8388602, 5), 41942926, 7]-NRT-code), using
      - OOA stacking with additional row [i] based on linear OOA(3⁸⁴, large, F₃, 3, 6), using
        trace code [i] based on linear OOA(81²¹, 2796201, F₈₁, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
        OOA 3-folding [i] based on linear OA(81²¹, large, F₈₁, 6) (dual of [large, large−21, 7]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (84, 88, large)-net over F₃	[i]		Net Duplication
2	Digital (85, 89, large)-net over F₃	[i]
3	Digital (86, 90, large)-net over F₃	[i]
4	Digital (87, 91, large)-net over F₃	[i]
5	Digital (88, 92, large)-net over F₃	[i]