MinT - Information on Result #1201282

Information on Result #1201282

Digital (36, 49, 1398100)-net over F₆₄, using net defined by OOA based on linear OOA(64⁴⁹, 1398100, F₆₄, 13, 13) (dual of [(1398100, 13), 18175251, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(64⁴⁹, 8388601, F₆₄, 13) (dual of [8388601, 8388552, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁴⁹, large, F₆₄, 13) (dual of [large, large−49, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’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 (37, 49, 1398100)-net over F₆₄	[i]	t-Expansion
2	Digital (37, 50, 1398100)-net over F₆₄	[i]	Net Duplication
3	Digital (38, 51, 1398100)-net over F₆₄	[i]
4	Digital (39, 52, 1398100)-net over F₆₄	[i]
5	Digital (40, 53, 1398100)-net over F₆₄	[i]
6	Digital (41, 54, 1398100)-net over F₆₄	[i]
7	Digital (36, 48, 1398100)-net over F₆₄	[i]	m-Reduction
8	Digital (42, 55, 1398165)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
9	Digital (43, 56, 1398180)-net over F₆₄	[i]
10	Digital (45, 58, 1398230)-net over F₆₄	[i]
11	Digital (46, 59, 1398245)-net over F₆₄	[i]
12	Digital (47, 60, 1399466)-net over F₆₄	[i]
13	Digital (48, 61, 1399467)-net over F₆₄	[i]
14	Digital (49, 62, 1399468)-net over F₆₄	[i]
15	Digital (50, 63, 1402259)-net over F₆₄	[i]
16	Digital (51, 64, 1402274)-net over F₆₄	[i]
17	Digital (52, 65, 1485482)-net over F₆₄	[i]
18	Digital (53, 66, 1485484)-net over F₆₄	[i]
19	Digital (54, 67, 1485485)-net over F₆₄	[i]
20	Digital (55, 68, 1485547)-net over F₆₄	[i]
21	Digital (56, 69, 1489579)-net over F₆₄	[i]
22	Digital (50, 63, 1402260)-net over F₆₄	[i]
23	Digital (51, 64, 1402275)-net over F₆₄	[i]
24	(43, 56, 1398229)-net in base 64	[i]
25	(44, 57, 1398357)-net in base 64	[i]
26	(46, 59, 1398358)-net in base 64	[i]
27	(49, 62, 1403562)-net in base 64	[i]
28	(50, 63, 1403563)-net in base 64	[i]
29	(55, 68, 2097151)-net in base 64	[i]
30	(56, 69, 2097153)-net in base 64	[i]
31	Digital (77, 90, 4194495)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
32	Digital (75, 88, 4194430)-net over F₆₄	[i]
33	Digital (76, 89, 4198462)-net over F₆₄	[i]
34	Digital (77, 90, 4202494)-net over F₆₄	[i]
35	Digital (77, 90, 4202630)-net over F₆₄	[i]
36	Digital (73, 86, 4194365)-net over F₆₄	[i]
37	Digital (74, 87, 4198397)-net over F₆₄	[i]
38	Digital (75, 88, 4202565)-net over F₆₄	[i]
39	Digital (76, 89, 4464702)-net over F₆₄	[i]
40	Digital (77, 90, 5592400)-net over F₆₄	[i]
41	Digital (61, 74, 2796265)-net over F₆₄	[i]
42	Digital (62, 75, 2796280)-net over F₆₄	[i]
43	Digital (63, 76, 2798216)-net over F₆₄	[i]
44	Digital (64, 77, 2798249)-net over F₆₄	[i]
45	Digital (65, 78, 2800360)-net over F₆₄	[i]
46	Digital (66, 79, 2800375)-net over F₆₄	[i]
47	Digital (67, 80, 2927273)-net over F₆₄	[i]
48	Digital (68, 81, 2927276)-net over F₆₄	[i]
49	Digital (69, 82, 2927338)-net over F₆₄	[i]