MinT - Information on Result #1197946

Information on Result #1197946

Digital (60, 76, 1048575)-net over F₂₇, using net defined by OOA based on linear OOA(27⁷⁶, 1048575, F₂₇, 16, 16) (dual of [(1048575, 16), 16777124, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(27⁷⁶, 8388600, F₂₇, 16) (dual of [8388600, 8388524, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁷⁶, large, F₂₇, 16) (dual of [large, large−76, 17]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’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 F₂₇	[i]	Net Duplication
2	Digital (62, 78, 1048575)-net over F₂₇	[i]
3	Digital (63, 79, 1048575)-net over F₂₇	[i]
4	Digital (212, 228, 3145725)-net over F₃	[i]	Trace Code for Nets
5	Digital (68, 84, 1048603)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
6	Digital (69, 85, 1048613)-net over F₂₇	[i]
7	Digital (70, 86, 1048623)-net over F₂₇	[i]
8	Digital (71, 87, 1048627)-net over F₂₇	[i]
9	Digital (72, 88, 1048639)-net over F₂₇	[i]
10	Digital (73, 89, 1048643)-net over F₂₇	[i]
11	Digital (74, 90, 1048651)-net over F₂₇	[i]
12	Digital (75, 91, 1048758)-net over F₂₇	[i]
13	Digital (77, 93, 1048759)-net over F₂₇	[i]
14	Digital (78, 94, 1048760)-net over F₂₇	[i]
15	Digital (79, 95, 1048786)-net over F₂₇	[i]
16	Digital (80, 96, 1048952)-net over F₂₇	[i]
17	Digital (81, 97, 1048957)-net over F₂₇	[i]
18	Digital (82, 98, 1053496)-net over F₂₇	[i]
19	Digital (83, 99, 1053497)-net over F₂₇	[i]
20	Digital (84, 100, 1053498)-net over F₂₇	[i]
21	Digital (85, 101, 1053499)-net over F₂₇	[i]
22	Digital (86, 102, 1053524)-net over F₂₇	[i]
23	Digital (87, 103, 1053534)-net over F₂₇	[i]
24	Digital (88, 104, 1053847)-net over F₂₇	[i]
25	Digital (89, 105, 1181436)-net over F₂₇	[i]
26	Digital (90, 106, 1181437)-net over F₂₇	[i]
27	Digital (91, 107, 1181438)-net over F₂₇	[i]
28	Digital (92, 108, 1181440)-net over F₂₇	[i]
29	Digital (93, 109, 1181464)-net over F₂₇	[i]
30	Digital (94, 110, 1181474)-net over F₂₇	[i]
31	Digital (74, 90, 1048659)-net over F₂₇	[i]
32	Digital (80, 96, 1049331)-net over F₂₇	[i]
33	Digital (81, 97, 1049341)-net over F₂₇	[i]
34	(71, 87, 1048657)-net in base 27	[i]
35	(72, 88, 1048675)-net in base 27	[i]
36	(74, 90, 1048691)-net in base 27	[i]
37	(78, 94, 1048775)-net in base 27	[i]
38	(80, 96, 1050215)-net in base 27	[i]
39	(81, 97, 1050216)-net in base 27	[i]
40	(88, 104, 1055235)-net in base 27	[i]