MinT - Information on Result #1201192

Information on Result #1201192

Digital (33, 45, 1398100)-net over F₆₄, using net defined by OOA based on linear OOA(64⁴⁵, 1398100, F₆₄, 12, 12) (dual of [(1398100, 12), 16777155, 13]-NRT-code), using

OA 6-folding and stacking [i] based on linear OA(64⁴⁵, 8388600, F₆₄, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁴⁵, large, F₆₄, 12) (dual of [large, large−45, 13]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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 (34, 46, 1398100)-net over F₆₄	[i]	Net Duplication
2	Digital (35, 47, 1398100)-net over F₆₄	[i]	Net Duplication
3	Digital (39, 51, 1398165)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
4	Digital (40, 52, 1398180)-net over F₆₄	[i]
5	Digital (42, 54, 1398230)-net over F₆₄	[i]
6	Digital (43, 55, 1398245)-net over F₆₄	[i]
7	Digital (44, 56, 1399466)-net over F₆₄	[i]
8	Digital (45, 57, 1399467)-net over F₆₄	[i]
9	Digital (46, 58, 1399468)-net over F₆₄	[i]
10	Digital (47, 59, 1402259)-net over F₆₄	[i]
11	Digital (48, 60, 1402274)-net over F₆₄	[i]
12	Digital (49, 61, 1485482)-net over F₆₄	[i]
13	Digital (50, 62, 1485484)-net over F₆₄	[i]
14	Digital (51, 63, 1485485)-net over F₆₄	[i]
15	Digital (52, 64, 1485547)-net over F₆₄	[i]
16	Digital (53, 65, 1489579)-net over F₆₄	[i]
17	Digital (47, 59, 1402260)-net over F₆₄	[i]
18	Digital (48, 60, 1402275)-net over F₆₄	[i]
19	(40, 52, 1398229)-net in base 64	[i]
20	(41, 53, 1398357)-net in base 64	[i]
21	(43, 55, 1398358)-net in base 64	[i]
22	(46, 58, 1403562)-net in base 64	[i]
23	(47, 59, 1403563)-net in base 64	[i]
24	(52, 64, 2097151)-net in base 64	[i]
25	(53, 65, 2097153)-net in base 64	[i]
26	Digital (79, 91, 6903166)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
27	Digital (74, 86, 4194495)-net over F₆₄	[i]
28	Digital (78, 90, 5592530)-net over F₆₄	[i]
29	Digital (72, 84, 4194430)-net over F₆₄	[i]
30	Digital (73, 85, 4198462)-net over F₆₄	[i]
31	Digital (74, 86, 4202494)-net over F₆₄	[i]
32	Digital (74, 86, 4202630)-net over F₆₄	[i]
33	Digital (76, 88, 5592465)-net over F₆₄	[i]
34	Digital (77, 89, 5596561)-net over F₆₄	[i]
35	Digital (78, 90, 5858705)-net over F₆₄	[i]
36	Digital (79, 91, 6990500)-net over F₆₄	[i]
37	Digital (70, 82, 4194365)-net over F₆₄	[i]
38	Digital (71, 83, 4198397)-net over F₆₄	[i]
39	Digital (72, 84, 4202565)-net over F₆₄	[i]
40	Digital (73, 85, 4464702)-net over F₆₄	[i]
41	Digital (74, 86, 5592400)-net over F₆₄	[i]
42	Digital (58, 70, 2796265)-net over F₆₄	[i]
43	Digital (59, 71, 2796280)-net over F₆₄	[i]
44	Digital (60, 72, 2798216)-net over F₆₄	[i]
45	Digital (61, 73, 2798249)-net over F₆₄	[i]
46	Digital (62, 74, 2800360)-net over F₆₄	[i]
47	Digital (63, 75, 2800375)-net over F₆₄	[i]
48	Digital (64, 76, 2927273)-net over F₆₄	[i]
49	Digital (65, 77, 2927276)-net over F₆₄	[i]
50	Digital (66, 78, 2927338)-net over F₆₄	[i]
51	(42, 54, 1398100)-net in base 32	[i]	Base Change