MinT - Information on Result #1202078

Information on Result #1202078

Digital (21, 29, 2097150)-net over F₈₁, using net defined by OOA based on linear OOA(81²⁹, 2097150, F₈₁, 8, 8) (dual of [(2097150, 8), 16777171, 9]-NRT-code), using

OA 4-folding and stacking [i] based on linear OA(81²⁹, 8388600, F₈₁, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(81²⁹, large, F₈₁, 8) (dual of [large, large−29, 9]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,7], 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 (22, 30, 2097150)-net over F₈₁	[i]		Net Duplication
2	Digital (23, 31, 2097150)-net over F₈₁	[i]		Net Duplication
3	Digital (25, 33, 2097232)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
4	Digital (26, 34, 2097250)-net over F₈₁	[i]
5	Digital (27, 35, 2100390)-net over F₈₁	[i]
6	Digital (28, 36, 2100431)-net over F₈₁	[i]
7	Digital (29, 37, 2103792)-net over F₈₁	[i]
8	Digital (30, 38, 2103810)-net over F₈₁	[i]
9	Digital (31, 39, 2362872)-net over F₈₁	[i]
10	Digital (32, 40, 2362874)-net over F₈₁	[i]
11	Digital (33, 41, 2362954)-net over F₈₁	[i]