MinT - Information on Result #3205649

Information on Result #3205649

Digital (70, 76, large)-net over F₄, using t-expansion based on digital (69, 76, large)-net over F₄, using

trace code for nets [i] based on digital (12, 19, 2796200)-net over F₂₅₆, using
- net defined by OOA [i] based on linear OOA(256¹⁹, 2796200, F₂₅₆, 7, 7) (dual of [(2796200, 7), 19573381, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(256¹⁹, 2796200, F₂₅₆, 6, 7) (dual of [(2796200, 6), 16777181, 8]-NRT-code), using
    - OOA 3-folding and stacking with additional row [i] based on linear OA(256¹⁹, 8388601, F₂₅₆, 7) (dual of [8388601, 8388582, 8]-code), using
      - discarding factors / shortening the dual code based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [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 (71, 77, large)-net over F₄	[i]		Net Duplication
2	Digital (72, 78, large)-net over F₄	[i]
3	Digital (73, 79, large)-net over F₄	[i]
4	Digital (74, 80, large)-net over F₄	[i]
5	Digital (75, 81, large)-net over F₄	[i]
6	Digital (76, 82, large)-net over F₄	[i]