MinT - Information on Result #1197892

Information on Result #1197892

Digital (56, 71, 1198371)-net over F₂₇, using net defined by OOA based on linear OOA(27⁷¹, 1198371, F₂₇, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OA(27⁷¹, 8388598, F₂₇, 15) (dual of [8388598, 8388527, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁷¹, large, F₂₇, 15) (dual of [large, large−71, 16]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (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 (57, 71, 1198371)-net over F₂₇	[i]	t-Expansion
2	Digital (57, 72, 1198371)-net over F₂₇	[i]	Net Duplication
3	Digital (58, 73, 1198371)-net over F₂₇	[i]
4	Digital (59, 74, 1198371)-net over F₂₇	[i]
5	Digital (60, 75, 1198371)-net over F₂₇	[i]
6	Digital (61, 76, 1198371)-net over F₂₇	[i]
7	Digital (62, 77, 1198371)-net over F₂₇	[i]
8	Digital (56, 70, 1198371)-net over F₂₇	[i]	m-Reduction
9	Digital (198, 213, 3595113)-net over F₃	[i]	Trace Code for Nets
10	Digital (63, 78, 1198399)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
11	Digital (64, 79, 1198409)-net over F₂₇	[i]
12	Digital (65, 80, 1198419)-net over F₂₇	[i]
13	Digital (66, 81, 1198427)-net over F₂₇	[i]
14	Digital (67, 82, 1198437)-net over F₂₇	[i]
15	Digital (68, 83, 1198447)-net over F₂₇	[i]
16	Digital (69, 84, 1198614)-net over F₂₇	[i]
17	Digital (70, 85, 1198615)-net over F₂₇	[i]
18	Digital (71, 86, 1198616)-net over F₂₇	[i]
19	Digital (72, 87, 1198748)-net over F₂₇	[i]
20	Digital (73, 88, 1198858)-net over F₂₇	[i]
21	Digital (74, 89, 1198875)-net over F₂₇	[i]
22	Digital (75, 90, 1204932)-net over F₂₇	[i]
23	Digital (76, 91, 1204934)-net over F₂₇	[i]
24	Digital (77, 92, 1204935)-net over F₂₇	[i]
25	Digital (78, 93, 1204960)-net over F₂₇	[i]
26	Digital (79, 94, 1205662)-net over F₂₇	[i]
27	Digital (80, 95, 1206640)-net over F₂₇	[i]
28	Digital (81, 96, 1375519)-net over F₂₇	[i]
29	Digital (82, 97, 1375521)-net over F₂₇	[i]
30	Digital (83, 98, 1375522)-net over F₂₇	[i]
31	Digital (84, 99, 1375547)-net over F₂₇	[i]
32	Digital (85, 100, 1376249)-net over F₂₇	[i]
33	Digital (86, 101, 1377227)-net over F₂₇	[i]
34	Digital (87, 102, 2396742)-net over F₂₇	[i]
35	Digital (68, 83, 1198455)-net over F₂₇	[i]
36	Digital (72, 87, 1199127)-net over F₂₇	[i]
37	Digital (73, 88, 1199137)-net over F₂₇	[i]
38	Digital (74, 89, 1199147)-net over F₂₇	[i]
39	(66, 81, 1198453)-net in base 27	[i]
40	(67, 82, 1198471)-net in base 27	[i]
41	(68, 83, 1198487)-net in base 27	[i]
42	(74, 89, 1200558)-net in base 27	[i]
43	Digital (92, 107, 2396770)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
44	Digital (93, 108, 2396780)-net over F₂₇	[i]
45	Digital (94, 109, 2397093)-net over F₂₇	[i]