MinT - Information on Result #1199476

Information on Result #1199476

Digital (60, 76, 1048575)-net over F₃₂, using net defined by OOA based on linear OOA(32⁷⁶, 1048575, F₃₂, 16, 16) (dual of [(1048575, 16), 16777124, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(32⁷⁶, 8388600, F₃₂, 16) (dual of [8388600, 8388524, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁷⁶, large, F₃₂, 16) (dual of [large, large−76, 17]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (61, 77, 1048575)-net over F₃₂	[i]	Net Duplication
2	Digital (62, 78, 1048575)-net over F₃₂	[i]
3	Digital (63, 79, 1048575)-net over F₃₂	[i]
4	Digital (68, 84, 1048608)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
5	Digital (69, 85, 1048619)-net over F₃₂	[i]
6	Digital (71, 87, 1048639)-net over F₃₂	[i]
7	Digital (72, 88, 1048641)-net over F₃₂	[i]
8	Digital (73, 89, 1048652)-net over F₃₂	[i]
9	Digital (74, 90, 1048663)-net over F₃₂	[i]
10	Digital (75, 91, 1048831)-net over F₃₂	[i]
11	Digital (76, 92, 1048832)-net over F₃₂	[i]
12	Digital (77, 93, 1048833)-net over F₃₂	[i]
13	Digital (78, 94, 1048834)-net over F₃₂	[i]
14	Digital (79, 95, 1048864)-net over F₃₂	[i]
15	Digital (80, 96, 1049102)-net over F₃₂	[i]
16	Digital (81, 97, 1049108)-net over F₃₂	[i]
17	Digital (82, 98, 1056767)-net over F₃₂	[i]
18	Digital (83, 99, 1056768)-net over F₃₂	[i]
19	Digital (84, 100, 1056769)-net over F₃₂	[i]
20	Digital (85, 101, 1056770)-net over F₃₂	[i]
21	Digital (86, 102, 1056800)-net over F₃₂	[i]
22	Digital (87, 103, 1056811)-net over F₃₂	[i]
23	Digital (88, 104, 1057263)-net over F₃₂	[i]
24	Digital (89, 105, 1310720)-net over F₃₂	[i]
25	Digital (90, 106, 1310721)-net over F₃₂	[i]
26	Digital (91, 107, 1310722)-net over F₃₂	[i]
27	Digital (92, 108, 1310723)-net over F₃₂	[i]
28	Digital (93, 109, 1310753)-net over F₃₂	[i]
29	Digital (94, 110, 1310764)-net over F₃₂	[i]
30	Digital (74, 90, 1048674)-net over F₃₂	[i]
31	Digital (80, 96, 1049631)-net over F₃₂	[i]
32	Digital (81, 97, 1049642)-net over F₃₂	[i]