MinT - Information on Result #3195136

Information on Result #3195136

Digital (97, 100, large)-net over F₃, using t-expansion based on digital (93, 100, large)-net over F₃, using

trace code for nets [i] based on digital (43, 50, 5592401)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁵⁰, 5592401, F₉, 9, 7) (dual of [(5592401, 9), 50331559, 8]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(9⁵⁰, 5592402, F₉, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
    - trace code [i] based on linear OOA(81²⁵, 2796201, F₈₁, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(81²⁵, large, F₈₁, 7) (dual of [large, large−25, 8]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [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 (98, 101, large)-net over F₃	[i]		Net Duplication
2	Digital (99, 102, large)-net over F₃	[i]
3	Digital (100, 103, large)-net over F₃	[i]
4	Digital (101, 104, large)-net over F₃	[i]
5	Digital (102, 105, large)-net over F₃	[i]
6	Digital (103, 106, large)-net over F₃	[i]
7	Digital (104, 107, large)-net over F₃	[i]
8	Digital (105, 108, large)-net over F₃	[i]
9	Digital (106, 109, large)-net over F₃	[i]
10	Digital (107, 110, large)-net over F₃	[i]
11	Digital (108, 111, large)-net over F₃	[i]
12	Digital (109, 112, large)-net over F₃	[i]
13	Digital (110, 113, large)-net over F₃	[i]
14	Digital (111, 114, large)-net over F₃	[i]