MinT - Information on Result #1199040

Information on Result #1199040

Digital (36, 46, 1677720)-net over F₃₂, using net defined by OOA based on linear OOA(32⁴⁶, 1677720, F₃₂, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using

OA 5-folding and stacking [i] based on linear OA(32⁴⁶, 8388600, F₃₂, 10) (dual of [8388600, 8388554, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁴⁶, large, F₃₂, 10) (dual of [large, large−46, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’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 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		Method
1	Digital (37, 47, 1677720)-net over F₃₂	[i]	Net Duplication
2	Digital (38, 48, 1677720)-net over F₃₂	[i]
3	Digital (39, 49, 1677720)-net over F₃₂	[i]
4	Digital (41, 51, 1677753)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
5	Digital (42, 52, 1677764)-net over F₃₂	[i]
6	Digital (43, 53, 1678216)-net over F₃₂	[i]
7	Digital (45, 55, 1678249)-net over F₃₂	[i]
8	Digital (46, 56, 1678775)-net over F₃₂	[i]
9	Digital (47, 57, 1679209)-net over F₃₂	[i]
10	Digital (48, 58, 1679705)-net over F₃₂	[i]
11	Digital (49, 59, 1694105)-net over F₃₂	[i]
12	Digital (50, 60, 1694108)-net over F₃₂	[i]
13	Digital (51, 61, 1694647)-net over F₃₂	[i]
14	Digital (52, 62, 1711511)-net over F₃₂	[i]
15	Digital (53, 63, 2202009)-net over F₃₂	[i]
16	Digital (54, 64, 2202013)-net over F₃₂	[i]
17	Digital (55, 65, 2202042)-net over F₃₂	[i]
18	Digital (56, 66, 2203066)-net over F₃₂	[i]
19	Digital (57, 67, 3355440)-net over F₃₂	[i]
20	Digital (46, 56, 1678776)-net over F₃₂	[i]
21	Digital (51, 61, 1694648)-net over F₃₂	[i]
22	Digital (52, 62, 1711512)-net over F₃₂	[i]
23	Digital (75, 85, large)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
24	Digital (65, 75, 3356531)-net over F₃₂	[i]
25	Digital (63, 73, 3356498)-net over F₃₂	[i]
26	Digital (64, 74, 3357490)-net over F₃₂	[i]
27	Digital (64, 74, 3358609)-net over F₃₂	[i]
28	Digital (65, 75, 3359633)-net over F₃₂	[i]
29	Digital (65, 75, 3390323)-net over F₃₂	[i]
30	Digital (60, 70, 3355473)-net over F₃₂	[i]
31	Digital (61, 71, 3356465)-net over F₃₂	[i]
32	Digital (62, 72, 3358576)-net over F₃₂	[i]
33	Digital (63, 73, 3390290)-net over F₃₂	[i]
34	Digital (64, 74, 4406064)-net over F₃₂	[i]
35	Digital (65, 75, 5033160)-net over F₃₂	[i]