MinT - Information on Result #1198046

Information on Result #1198046

Digital (64, 81, 1048575)-net over F₂₇, using net defined by OOA based on linear OOA(27⁸¹, 1048575, F₂₇, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code), using

OOA 8-folding and stacking with additional row [i] based on linear OA(27⁸¹, 8388601, F₂₇, 17) (dual of [8388601, 8388520, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁸¹, large, F₂₇, 17) (dual of [large, large−81, 18]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’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 F₂₇	[i]	t-Expansion
2	Digital (65, 82, 1048575)-net over F₂₇	[i]	Net Duplication
3	Digital (66, 83, 1048575)-net over F₂₇	[i]
4	Digital (67, 84, 1048575)-net over F₂₇	[i]
5	Digital (68, 85, 1048575)-net over F₂₇	[i]
6	Digital (69, 86, 1048575)-net over F₂₇	[i]
7	Digital (70, 87, 1048575)-net over F₂₇	[i]
8	Digital (71, 88, 1048575)-net over F₂₇	[i]
9	Digital (64, 80, 1048575)-net over F₂₇	[i]	m-Reduction
10	Digital (226, 243, 3145725)-net over F₃	[i]	Trace Code for Nets
11	Digital (72, 89, 1048603)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
12	Digital (73, 90, 1048613)-net over F₂₇	[i]
13	Digital (74, 91, 1048623)-net over F₂₇	[i]
14	Digital (75, 92, 1048627)-net over F₂₇	[i]
15	Digital (76, 93, 1048639)-net over F₂₇	[i]
16	Digital (77, 94, 1048643)-net over F₂₇	[i]
17	Digital (78, 95, 1048651)-net over F₂₇	[i]
18	Digital (79, 96, 1048758)-net over F₂₇	[i]
19	Digital (81, 98, 1048759)-net over F₂₇	[i]
20	Digital (82, 99, 1048760)-net over F₂₇	[i]
21	Digital (83, 100, 1048786)-net over F₂₇	[i]
22	Digital (84, 101, 1048952)-net over F₂₇	[i]
23	Digital (85, 102, 1048957)-net over F₂₇	[i]
24	Digital (86, 103, 1053496)-net over F₂₇	[i]
25	Digital (87, 104, 1053497)-net over F₂₇	[i]
26	Digital (88, 105, 1053498)-net over F₂₇	[i]
27	Digital (89, 106, 1053499)-net over F₂₇	[i]
28	Digital (90, 107, 1053524)-net over F₂₇	[i]
29	Digital (91, 108, 1053534)-net over F₂₇	[i]
30	Digital (92, 109, 1053847)-net over F₂₇	[i]
31	Digital (93, 110, 1181436)-net over F₂₇	[i]
32	Digital (78, 95, 1048659)-net over F₂₇	[i]
33	Digital (84, 101, 1049331)-net over F₂₇	[i]
34	Digital (85, 102, 1049341)-net over F₂₇	[i]
35	(75, 92, 1048657)-net in base 27	[i]
36	(76, 93, 1048675)-net in base 27	[i]
37	(78, 95, 1048691)-net in base 27	[i]
38	(82, 99, 1048775)-net in base 27	[i]
39	(84, 101, 1050215)-net in base 27	[i]
40	(85, 102, 1050216)-net in base 27	[i]
41	(92, 109, 1055235)-net in base 27	[i]