MinT - Information on Result #1201462

Information on Result #1201462

Digital (45, 61, 1048575)-net over F₆₄, using net defined by OOA based on linear OOA(64⁶¹, 1048575, F₆₄, 16, 16) (dual of [(1048575, 16), 16777139, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(64⁶¹, 8388600, F₆₄, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁶¹, large, F₆₄, 16) (dual of [large, large−61, 17]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (46, 62, 1048575)-net over F₆₄	[i]	Net Duplication
2	Digital (47, 63, 1048575)-net over F₆₄	[i]	Net Duplication
3	Digital (167, 183, 3145725)-net over F₄	[i]	Trace Code for Nets
4	Digital (53, 69, 1048640)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
5	Digital (54, 70, 1048655)-net over F₆₄	[i]
6	Digital (56, 72, 1048679)-net over F₆₄	[i]
7	Digital (57, 73, 1048705)-net over F₆₄	[i]
8	Digital (58, 74, 1048720)-net over F₆₄	[i]
9	Digital (59, 75, 1048735)-net over F₆₄	[i]
10	Digital (60, 76, 1049599)-net over F₆₄	[i]
11	Digital (61, 77, 1049600)-net over F₆₄	[i]
12	Digital (62, 78, 1049601)-net over F₆₄	[i]
13	Digital (64, 80, 1049664)-net over F₆₄	[i]
14	Digital (65, 81, 1050654)-net over F₆₄	[i]
15	Digital (66, 82, 1051002)-net over F₆₄	[i]
16	Digital (67, 83, 1114111)-net over F₆₄	[i]
17	Digital (68, 84, 1114112)-net over F₆₄	[i]
18	Digital (69, 85, 1114113)-net over F₆₄	[i]
19	Digital (70, 86, 1114114)-net over F₆₄	[i]
20	Digital (71, 87, 1114176)-net over F₆₄	[i]
21	Digital (72, 88, 1114191)-net over F₆₄	[i]
22	Digital (73, 89, 1116127)-net over F₆₄	[i]
23	Digital (59, 75, 1048770)-net over F₆₄	[i]
24	Digital (65, 81, 1052735)-net over F₆₄	[i]
25	Digital (66, 82, 1052750)-net over F₆₄	[i]
26	(55, 71, 1048704)-net in base 64	[i]
27	(57, 73, 1048833)-net in base 64	[i]
28	(59, 75, 1048834)-net in base 64	[i]
29	(63, 79, 1052671)-net in base 64	[i]
30	(64, 80, 1052672)-net in base 64	[i]
31	(65, 81, 1064959)-net in base 64	[i]
32	(71, 87, 1572863)-net in base 64	[i]
33	(72, 88, 1572864)-net in base 64	[i]
34	(73, 89, 1572865)-net in base 64	[i]