MinT - Information on Result #1201610

Information on Result #1201610

Digital (51, 69, 932067)-net over F₆₄, using net defined by OOA based on linear OOA(64⁶⁹, 932067, F₆₄, 18, 18) (dual of [(932067, 18), 16777137, 19]-NRT-code), using

OA 9-folding and stacking [i] based on linear OA(64⁶⁹, large, F₆₄, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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 (52, 70, 932067)-net over F₆₄	[i]	Net Duplication
2	Digital (53, 71, 932067)-net over F₆₄	[i]
3	Digital (54, 72, 932067)-net over F₆₄	[i]
4	Digital (55, 73, 932067)-net over F₆₄	[i]
5	Digital (56, 74, 932067)-net over F₆₄	[i]
6	Digital (189, 207, 2796201)-net over F₄	[i]	Trace Code for Nets
7	Digital (120, 138, 1864134)-net over F₈	[i]	Trace Code for Nets
8	Digital (60, 78, 932132)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
9	Digital (61, 79, 932147)-net over F₆₄	[i]
10	Digital (63, 81, 932171)-net over F₆₄	[i]
11	Digital (64, 82, 932197)-net over F₆₄	[i]
12	Digital (65, 83, 932212)-net over F₆₄	[i]
13	Digital (66, 84, 932227)-net over F₆₄	[i]
14	Digital (67, 85, 932244)-net over F₆₄	[i]
15	Digital (68, 86, 933091)-net over F₆₄	[i]
16	Digital (69, 87, 933092)-net over F₆₄	[i]
17	Digital (71, 89, 933093)-net over F₆₄	[i]
18	Digital (72, 90, 933156)-net over F₆₄	[i]
19	Digital (73, 91, 933171)-net over F₆₄	[i]
20	Digital (67, 85, 932262)-net over F₆₄	[i]
21	(62, 80, 932196)-net in base 64	[i]
22	(63, 81, 932324)-net in base 64	[i]
23	(65, 83, 932325)-net in base 64	[i]
24	(67, 85, 932389)-net in base 64	[i]
25	(71, 89, 936163)-net in base 64	[i]
26	(72, 90, 936164)-net in base 64	[i]