MinT - Information on Result #1201420

Information on Result #1201420

Digital (42, 57, 1198371)-net over F₆₄, using net defined by OOA based on linear OOA(64⁵⁷, 1198371, F₆₄, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OA(64⁵⁷, 8388598, F₆₄, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁵⁷, large, F₆₄, 15) (dual of [large, large−57, 16]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (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 (43, 57, 1198371)-net over F₆₄	[i]	t-Expansion
2	Digital (43, 58, 1198371)-net over F₆₄	[i]	Net Duplication
3	Digital (44, 59, 1198371)-net over F₆₄	[i]
4	Digital (45, 60, 1198371)-net over F₆₄	[i]
5	Digital (46, 61, 1198371)-net over F₆₄	[i]
6	Digital (47, 62, 1198371)-net over F₆₄	[i]
7	Digital (48, 63, 1198371)-net over F₆₄	[i]
8	Digital (42, 56, 1198371)-net over F₆₄	[i]	m-Reduction
9	Digital (156, 171, 3595113)-net over F₄	[i]	Trace Code for Nets
10	Digital (99, 114, 2396742)-net over F₈	[i]	Trace Code for Nets
11	Digital (49, 64, 1198436)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
12	Digital (50, 65, 1198451)-net over F₆₄	[i]
13	Digital (52, 67, 1198501)-net over F₆₄	[i]
14	Digital (53, 68, 1198516)-net over F₆₄	[i]
15	Digital (54, 69, 1198565)-net over F₆₄	[i]
16	Digital (55, 70, 1199736)-net over F₆₄	[i]
17	Digital (56, 71, 1199738)-net over F₆₄	[i]
18	Digital (58, 73, 1202530)-net over F₆₄	[i]
19	Digital (59, 74, 1202545)-net over F₆₄	[i]
20	Digital (60, 75, 1202560)-net over F₆₄	[i]
21	Digital (61, 76, 1285753)-net over F₆₄	[i]
22	Digital (62, 77, 1285755)-net over F₆₄	[i]
23	Digital (64, 79, 1285818)-net over F₆₄	[i]
24	Digital (65, 80, 1289850)-net over F₆₄	[i]
25	Digital (66, 81, 1294018)-net over F₆₄	[i]
26	Digital (67, 82, 2396742)-net over F₆₄	[i]
27	Digital (54, 69, 1198566)-net over F₆₄	[i]
28	Digital (58, 73, 1202531)-net over F₆₄	[i]
29	Digital (59, 74, 1202546)-net over F₆₄	[i]
30	Digital (60, 75, 1202561)-net over F₆₄	[i]
31	(51, 66, 1198500)-net in base 64	[i]
32	(52, 67, 1198628)-net in base 64	[i]
33	(54, 69, 1198630)-net in base 64	[i]
34	(58, 73, 1203832)-net in base 64	[i]
35	(59, 74, 1203834)-net in base 64	[i]
36	(60, 75, 1220216)-net in base 64	[i]
37	(65, 80, 1897422)-net in base 64	[i]
38	(66, 81, 1897424)-net in base 64	[i]
39	Digital (72, 87, 2396807)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
40	Digital (73, 88, 2396822)-net over F₆₄	[i]
41	Digital (74, 89, 2398758)-net over F₆₄	[i]
42	Digital (76, 91, 2398823)-net over F₆₄	[i]