MinT - Information on Result #3231668

Information on Result #3231668

Digital (25, 28, large)-net over F₉, using t-expansion based on digital (24, 28, large)-net over F₉, using

net defined by OOA [i] based on linear OOA(9²⁸, large, F₉, 4, 4), using
- appending kth column [i] based on linear OOA(9²⁸, large, F₉, 3, 4), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(9², 10, F₉, 3, 2) (dual of [(10, 3), 28, 3]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;28,9) [i]
    2. linear OOA(9²⁶, 8388602, F₉, 3, 4) (dual of [(8388602, 3), 25165780, 5]-NRT-code), using
      - trace code [i] based on linear OOA(81¹³, 4194301, F₈₁, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
        OA 2-folding and stacking [i] based on linear OA(81¹³, 8388602, F₈₁, 4) (dual of [8388602, 8388589, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(81¹³, large, F₈₁, 4) (dual of [large, large−13, 5]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (26, 29, large)-net over F₉	[i]		Net Duplication
2	Digital (27, 30, large)-net over F₉	[i]
3	Digital (28, 31, large)-net over F₉	[i]
4	Digital (29, 32, large)-net over F₉	[i]
5	Digital (30, 33, large)-net over F₉	[i]