MinT - Information on Result #1198888

Information on Result #1198888

Digital (28, 36, 2097150)-net over F₃₂, using net defined by OOA based on linear OOA(32³⁶, 2097150, F₃₂, 8, 8) (dual of [(2097150, 8), 16777164, 9]-NRT-code), using

OA 4-folding and stacking [i] based on linear OA(32³⁶, 8388600, F₃₂, 8) (dual of [8388600, 8388564, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(32³⁶, large, F₃₂, 8) (dual of [large, large−36, 9]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’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 (29, 37, 2097150)-net over F₃₂	[i]		Net Duplication
2	Digital (30, 38, 2097150)-net over F₃₂	[i]
3	Digital (31, 39, 2097150)-net over F₃₂	[i]
4	Digital (32, 40, 2097183)-net over F₃₂	[i]		(u,Â u+v)-Construction for Nets
5	Digital (33, 41, 2097194)-net over F₃₂	[i]
6	Digital (34, 42, 2097646)-net over F₃₂	[i]
7	Digital (35, 43, 2097663)-net over F₃₂	[i]
8	Digital (36, 44, 2098205)-net over F₃₂	[i]
9	Digital (37, 45, 2098216)-net over F₃₂	[i]
10	Digital (38, 46, 2113535)-net over F₃₂	[i]
11	Digital (39, 47, 2113538)-net over F₃₂	[i]
12	Digital (40, 48, 2113582)-net over F₃₂	[i]
13	Digital (41, 49, 2621440)-net over F₃₂	[i]
14	Digital (42, 50, 2621443)-net over F₃₂	[i]
15	Digital (43, 51, 2621473)-net over F₃₂	[i]
16	Digital (36, 44, 2098206)-net over F₃₂	[i]
17	Digital (37, 45, 2098217)-net over F₃₂	[i]
18	Digital (46, 54, 4194333)-net over F₃₂	[i]		Generalized (u,Â u+v)-Construction for Nets
19	Digital (47, 55, 4195357)-net over F₃₂	[i]		Generalized (u,Â u+v)-Construction for Nets