MinT - Information on Result #3190134

Information on Result #3190134

Digital (227, 231, large)-net over F₂, using t-expansion based on digital (221, 231, large)-net over F₂, using

trace code for nets [i] based on digital (67, 77, 2796201)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8⁷⁷, 2796201, F₈, 15, 10) (dual of [(2796201, 15), 41942938, 11]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(8⁷⁷, 5592403, F₈, 3, 10) (dual of [(5592403, 3), 16777132, 11]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(8⁷⁴, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
      - trace code [i] based on linear OOA(64³⁷, 2796201, F₆₄, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (228, 232, large)-net over F₂	[i]		Net Duplication
2	Digital (229, 233, large)-net over F₂	[i]
3	Digital (230, 234, large)-net over F₂	[i]
4	Digital (231, 235, large)-net over F₂	[i]
5	Digital (232, 236, large)-net over F₂	[i]
6	Digital (233, 237, large)-net over F₂	[i]
7	Digital (234, 238, large)-net over F₂	[i]