MinT - Information on Result #1185946

Information on Result #1185946

Digital (64, 72, 2097150)-net over F₄, using net defined by OOA based on linear OOA(4⁷², 2097150, F₄, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code), using

OA 4-folding and stacking [i] based on linear OA(4⁷², 8388600, F₄, 8) (dual of [8388600, 8388528, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁷², large, F₄, 8) (dual of [large, large−72, 9]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (68, 76, 2097155)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (69, 77, 2097160)-net over F₄	[i]
3	Digital (70, 78, 2097171)-net over F₄	[i]
4	Digital (71, 79, 2097193)-net over F₄	[i]
5	Digital (72, 80, 2097235)-net over F₄	[i]
6	Digital (73, 81, 2097321)-net over F₄	[i]
7	Digital (74, 82, 2097491)-net over F₄	[i]
8	Digital (75, 83, 2097833)-net over F₄	[i]
9	Digital (76, 84, 2098515)-net over F₄	[i]
10	Digital (77, 85, 2099881)-net over F₄	[i]
11	Digital (239, 255, 5242875)-net over F₄	[i]
12	Digital (240, 256, 6291450)-net over F₄	[i]