MinT - Information on Result #1197328

Information on Result #1197328

Digital (24, 31, 2796200)-net over F₂₇, using net defined by OOA based on linear OOA(27³¹, 2796200, F₂₇, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OA(27³¹, 8388601, F₂₇, 7) (dual of [8388601, 8388570, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(27³¹, large, F₂₇, 7) (dual of [large, large−31, 8]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (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 (25, 32, 2796200)-net over F₂₇	[i]	Net Duplication
2	Digital (26, 33, 2796200)-net over F₂₇	[i]	Net Duplication
3	Digital (86, 93, 8388600)-net over F₃	[i]	Trace Code for Nets
4	Digital (27, 34, 2796228)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
5	Digital (28, 35, 2796930)-net over F₂₇	[i]
6	Digital (29, 36, 2797908)-net over F₂₇	[i]
7	Digital (30, 37, 2816696)-net over F₂₇	[i]
8	Digital (31, 38, 3329099)-net over F₂₇	[i]
9	Digital (32, 39, 4041333)-net over F₂₇	[i]
10	Digital (33, 40, 5592400)-net over F₂₇	[i]
11	Digital (83, 97, 2396742)-net over F₂₇	[i]
12	Digital (90, 104, 2396798)-net over F₂₇	[i]
13	Digital (91, 105, 2396818)-net over F₂₇	[i]
14	Digital (92, 106, 2396838)-net over F₂₇	[i]
15	Digital (93, 107, 2396854)-net over F₂₇	[i]
16	Digital (94, 108, 2396874)-net over F₂₇	[i]
17	Digital (95, 109, 2396894)-net over F₂₇	[i]
18	Digital (96, 110, 2397228)-net over F₂₇	[i]
19	Digital (87, 102, 2396742)-net over F₂₇	[i]
20	Digital (94, 109, 2396798)-net over F₂₇	[i]
21	Digital (95, 110, 2396818)-net over F₂₇	[i]
22	Digital (40, 47, large)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
23	Digital (94, 108, 2397149)-net over F₂₇	[i]
24	Digital (95, 109, 2397472)-net over F₂₇	[i]
25	Digital (96, 110, 2397795)-net over F₂₇	[i]
26	Digital (39, 46, 5696976)-net over F₂₇	[i]
27	Digital (92, 106, 2397121)-net over F₂₇	[i]
28	Digital (93, 107, 2397444)-net over F₂₇	[i]
29	Digital (94, 108, 2397474)-net over F₂₇	[i]
30	Digital (94, 108, 2397526)-net over F₂₇	[i]
31	Digital (95, 109, 2398228)-net over F₂₇	[i]
32	Digital (96, 110, 2398254)-net over F₂₇	[i]
33	Digital (96, 110, 2406613)-net over F₂₇	[i]
34	Digital (39, 46, 6531599)-net over F₂₇	[i]
35	Digital (37, 44, 5593914)-net over F₂₇	[i]
36	Digital (38, 45, 5633280)-net over F₂₇	[i]
37	Digital (39, 46, 6696162)-net over F₂₇	[i]
38	Digital (92, 107, 2396770)-net over F₂₇	[i]
39	Digital (93, 108, 2396780)-net over F₂₇	[i]
40	Digital (94, 109, 2397093)-net over F₂₇	[i]
41	Digital (87, 101, 2396770)-net over F₂₇	[i]
42	Digital (88, 102, 2396780)-net over F₂₇	[i]
43	Digital (89, 103, 2397093)-net over F₂₇	[i]
44	Digital (90, 104, 2397108)-net over F₂₇	[i]
45	Digital (91, 105, 2397498)-net over F₂₇	[i]
46	Digital (92, 106, 2397508)-net over F₂₇	[i]
47	Digital (93, 107, 2406585)-net over F₂₇	[i]
48	Digital (94, 108, 2406587)-net over F₂₇	[i]
49	Digital (95, 109, 2406624)-net over F₂₇	[i]
50	Digital (96, 110, 2662464)-net over F₂₇	[i]
51	Digital (35, 42, 5592428)-net over F₂₇	[i]
52	Digital (36, 43, 5593157)-net over F₂₇	[i]
53	Digital (37, 44, 5612840)-net over F₂₇	[i]
54	Digital (38, 45, 6144281)-net over F₂₇	[i]
55	Digital (39, 46, 8388600)-net over F₂₇	[i]