MinT - Information on Result #1199582

Information on Result #1199582

Digital (64, 81, 1048575)-net over F₃₂, using net defined by OOA based on linear OOA(32⁸¹, 1048575, F₃₂, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code), using

OOA 8-folding and stacking with additional row [i] based on linear OA(32⁸¹, 8388601, F₃₂, 17) (dual of [8388601, 8388520, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁸¹, large, F₃₂, 17) (dual of [large, large−81, 18]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [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 (65, 81, 1048575)-net over F₃₂	[i]	t-Expansion
2	Digital (65, 82, 1048575)-net over F₃₂	[i]	Net Duplication
3	Digital (66, 83, 1048575)-net over F₃₂	[i]
4	Digital (67, 84, 1048575)-net over F₃₂	[i]
5	Digital (68, 85, 1048575)-net over F₃₂	[i]
6	Digital (69, 86, 1048575)-net over F₃₂	[i]
7	Digital (70, 87, 1048575)-net over F₃₂	[i]
8	Digital (71, 88, 1048575)-net over F₃₂	[i]
9	Digital (64, 80, 1048575)-net over F₃₂	[i]	m-Reduction
10	Digital (72, 89, 1048608)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
11	Digital (73, 90, 1048619)-net over F₃₂	[i]
12	Digital (75, 92, 1048639)-net over F₃₂	[i]
13	Digital (76, 93, 1048641)-net over F₃₂	[i]
14	Digital (77, 94, 1048652)-net over F₃₂	[i]
15	Digital (78, 95, 1048663)-net over F₃₂	[i]
16	Digital (79, 96, 1048831)-net over F₃₂	[i]
17	Digital (80, 97, 1048832)-net over F₃₂	[i]
18	Digital (81, 98, 1048833)-net over F₃₂	[i]
19	Digital (82, 99, 1048834)-net over F₃₂	[i]
20	Digital (83, 100, 1048864)-net over F₃₂	[i]
21	Digital (84, 101, 1049102)-net over F₃₂	[i]
22	Digital (85, 102, 1049108)-net over F₃₂	[i]
23	Digital (86, 103, 1056767)-net over F₃₂	[i]
24	Digital (87, 104, 1056768)-net over F₃₂	[i]
25	Digital (88, 105, 1056769)-net over F₃₂	[i]
26	Digital (89, 106, 1056770)-net over F₃₂	[i]
27	Digital (90, 107, 1056800)-net over F₃₂	[i]
28	Digital (91, 108, 1056811)-net over F₃₂	[i]
29	Digital (92, 109, 1057263)-net over F₃₂	[i]
30	Digital (93, 110, 1310720)-net over F₃₂	[i]
31	Digital (78, 95, 1048674)-net over F₃₂	[i]
32	Digital (84, 101, 1049631)-net over F₃₂	[i]
33	Digital (85, 102, 1049642)-net over F₃₂	[i]