MinT - Information on Result #1200988

Information on Result #1200988

Digital (21, 29, 2097150)-net over F₆₄, using net defined by OOA based on linear OOA(64²⁹, 2097150, F₆₄, 8, 8) (dual of [(2097150, 8), 16777171, 9]-NRT-code), using

OA 4-folding and stacking [i] based on linear OA(64²⁹, 8388600, F₆₄, 8) (dual of [8388600, 8388571, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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 (22, 30, 2097150)-net over F₆₄	[i]	Net Duplication
2	Digital (23, 31, 2097150)-net over F₆₄	[i]	Net Duplication
3	Digital (79, 87, 6291450)-net over F₄	[i]	Trace Code for Nets
4	Digital (25, 33, 2097215)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
5	Digital (26, 34, 2097230)-net over F₆₄	[i]
6	Digital (27, 35, 2099166)-net over F₆₄	[i]
7	Digital (28, 36, 2099199)-net over F₆₄	[i]
8	Digital (29, 37, 2101310)-net over F₆₄	[i]
9	Digital (30, 38, 2101325)-net over F₆₄	[i]
10	Digital (31, 39, 2228223)-net over F₆₄	[i]
11	Digital (32, 40, 2228226)-net over F₆₄	[i]
12	Digital (33, 41, 2228288)-net over F₆₄	[i]
13	(26, 34, 2097279)-net in base 64	[i]
14	(28, 36, 2105278)-net in base 64	[i]
15	(29, 37, 2129790)-net in base 64	[i]
16	(33, 41, 3145727)-net in base 64	[i]
17	Digital (43, 51, large)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
18	Digital (42, 50, 4460800)-net over F₆₄	[i]
19	Digital (40, 48, 4198591)-net over F₆₄	[i]
20	Digital (41, 49, 4206783)-net over F₆₄	[i]
21	Digital (41, 49, 4460735)-net over F₆₄	[i]
22	Digital (42, 50, 4468927)-net over F₆₄	[i]
23	Digital (42, 50, 6291580)-net over F₆₄	[i]
24	Digital (39, 47, 4198526)-net over F₆₄	[i]
25	Digital (40, 48, 4202622)-net over F₆₄	[i]
26	Digital (40, 48, 4460670)-net over F₆₄	[i]
27	Digital (41, 49, 4464766)-net over F₆₄	[i]
28	Digital (41, 49, 6291515)-net over F₆₄	[i]
29	Digital (42, 50, 6295611)-net over F₆₄	[i]
30	Digital (36, 44, 4194365)-net over F₆₄	[i]
31	Digital (37, 45, 4198461)-net over F₆₄	[i]
32	Digital (38, 46, 4460605)-net over F₆₄	[i]
33	Digital (39, 47, 6291450)-net over F₆₄	[i]