MinT - Information on Result #1199254

Information on Result #1199254

Digital (48, 61, 1398100)-net over F₃₂, using net defined by OOA based on linear OOA(32⁶¹, 1398100, F₃₂, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(32⁶¹, 8388601, F₃₂, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(32⁶¹, large, F₃₂, 13) (dual of [large, large−61, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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 (49, 61, 1398100)-net over F₃₂	[i]	t-Expansion
2	Digital (49, 62, 1398100)-net over F₃₂	[i]	Net Duplication
3	Digital (50, 63, 1398100)-net over F₃₂	[i]
4	Digital (51, 64, 1398100)-net over F₃₂	[i]
5	Digital (52, 65, 1398100)-net over F₃₂	[i]
6	Digital (53, 66, 1398100)-net over F₃₂	[i]
7	Digital (48, 60, 1398100)-net over F₃₂	[i]	m-Reduction
8	Digital (54, 67, 1398133)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
9	Digital (55, 68, 1398144)-net over F₃₂	[i]
10	Digital (57, 70, 1398166)-net over F₃₂	[i]
11	Digital (58, 71, 1398177)-net over F₃₂	[i]
12	Digital (59, 72, 1398442)-net over F₃₂	[i]
13	Digital (60, 73, 1398443)-net over F₃₂	[i]
14	Digital (61, 74, 1398444)-net over F₃₂	[i]
15	Digital (62, 75, 1398627)-net over F₃₂	[i]
16	Digital (63, 76, 1398784)-net over F₃₂	[i]
17	Digital (64, 77, 1409023)-net over F₃₂	[i]
18	Digital (65, 78, 1409025)-net over F₃₂	[i]
19	Digital (66, 79, 1409026)-net over F₃₂	[i]
20	Digital (67, 80, 1409056)-net over F₃₂	[i]
21	Digital (68, 81, 1410048)-net over F₃₂	[i]
22	Digital (69, 82, 1747626)-net over F₃₂	[i]
23	Digital (70, 83, 1747628)-net over F₃₂	[i]
24	Digital (71, 84, 1747630)-net over F₃₂	[i]
25	Digital (72, 85, 1747659)-net over F₃₂	[i]
26	Digital (73, 86, 1748651)-net over F₃₂	[i]
27	Digital (62, 75, 1399156)-net over F₃₂	[i]
28	Digital (63, 76, 1399167)-net over F₃₂	[i]
29	Digital (88, 101, 2797258)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
30	Digital (89, 102, 2797721)-net over F₃₂	[i]
31	Digital (86, 99, 2797225)-net over F₃₂	[i]
32	Digital (87, 100, 2797688)-net over F₃₂	[i]
33	Digital (88, 101, 2797739)-net over F₃₂	[i]
34	Digital (88, 101, 2798314)-net over F₃₂	[i]
35	Digital (89, 102, 2799306)-net over F₃₂	[i]
36	Digital (89, 102, 2812651)-net over F₃₂	[i]
37	Digital (93, 106, 2818857)-net over F₃₂	[i]
38	Digital (92, 105, 2829003)-net over F₃₂	[i]
39	Digital (93, 106, 2830027)-net over F₃₂	[i]
40	Digital (92, 105, 3320556)-net over F₃₂	[i]
41	Digital (93, 106, 3321548)-net over F₃₂	[i]
42	Digital (83, 96, 2796729)-net over F₃₂	[i]
43	Digital (84, 97, 2797192)-net over F₃₂	[i]
44	Digital (85, 98, 2797226)-net over F₃₂	[i]
45	Digital (85, 98, 2797289)-net over F₃₂	[i]
46	Digital (86, 99, 2798281)-net over F₃₂	[i]
47	Digital (87, 100, 2798312)-net over F₃₂	[i]
48	Digital (88, 101, 2798334)-net over F₃₂	[i]
49	Digital (87, 100, 2812618)-net over F₃₂	[i]
50	Digital (88, 101, 2813610)-net over F₃₂	[i]
51	Digital (89, 102, 2815721)-net over F₃₂	[i]
52	Digital (90, 103, 2828970)-net over F₃₂	[i]
53	Digital (91, 104, 2828976)-net over F₃₂	[i]
54	Digital (90, 103, 3320523)-net over F₃₂	[i]
55	Digital (91, 104, 3321515)-net over F₃₂	[i]
56	Digital (92, 105, 3323626)-net over F₃₂	[i]
57	Digital (93, 106, 3355340)-net over F₃₂	[i]
58	Digital (93, 106, 4194333)-net over F₃₂	[i]
59	Digital (78, 91, 2796233)-net over F₃₂	[i]
60	Digital (79, 92, 2796244)-net over F₃₂	[i]
61	Digital (80, 93, 2796696)-net over F₃₂	[i]
62	Digital (81, 94, 2796713)-net over F₃₂	[i]
63	Digital (82, 95, 2797256)-net over F₃₂	[i]
64	Digital (83, 96, 2797267)-net over F₃₂	[i]
65	Digital (84, 97, 2812585)-net over F₃₂	[i]
66	Digital (85, 98, 2812588)-net over F₃₂	[i]
67	Digital (86, 99, 2812632)-net over F₃₂	[i]
68	Digital (87, 100, 3320490)-net over F₃₂	[i]
69	Digital (88, 101, 3320493)-net over F₃₂	[i]
70	Digital (89, 102, 3320523)-net over F₃₂	[i]
71	Digital (90, 103, 4194300)-net over F₃₂	[i]