MinT - Information on Result #1201096

Information on Result #1201096

Digital (27, 37, 1677720)-net over F₆₄, using net defined by OOA based on linear OOA(64³⁷, 1677720, F₆₄, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using

OA 5-folding and stacking [i] based on linear OA(64³⁷, 8388600, F₆₄, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (28, 38, 1677720)-net over F₆₄	[i]	Net Duplication
2	Digital (29, 39, 1677720)-net over F₆₄	[i]	Net Duplication
3	Digital (212, 222, large)-net over F₂	[i]	Trace Code for Nets
4	Digital (101, 111, 5033160)-net over F₄	[i]
5	Digital (64, 74, 3355440)-net over F₈	[i]
6	Digital (32, 42, 1677785)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
7	Digital (33, 43, 1677800)-net over F₆₄	[i]
8	Digital (34, 44, 1679736)-net over F₆₄	[i]
9	Digital (36, 46, 1679801)-net over F₆₄	[i]
10	Digital (37, 47, 1681879)-net over F₆₄	[i]
11	Digital (38, 48, 1683769)-net over F₆₄	[i]
12	Digital (39, 49, 1685785)-net over F₆₄	[i]
13	Digital (40, 50, 1808793)-net over F₆₄	[i]
14	Digital (41, 51, 1808796)-net over F₆₄	[i]
15	Digital (42, 52, 1810903)-net over F₆₄	[i]
16	Digital (43, 53, 1943959)-net over F₆₄	[i]
17	Digital (44, 54, 3355440)-net over F₆₄	[i]
18	Digital (37, 47, 1681880)-net over F₆₄	[i]
19	Digital (42, 52, 1810904)-net over F₆₄	[i]
20	Digital (43, 53, 1943960)-net over F₆₄	[i]
21	(33, 43, 1677849)-net in base 64	[i]
22	(36, 46, 1685848)-net in base 64	[i]
23	(37, 47, 1710360)-net in base 64	[i]
24	(39, 49, 1710617)-net in base 64	[i]
25	(43, 53, 2726297)-net in base 64	[i]
26	Digital (59, 69, large)-net over F₆₄	[i]	Generalized (u,Â u+v)-Construction for Nets
27	Digital (58, 68, 5033485)-net over F₆₄	[i]
28	Digital (57, 67, 5033420)-net over F₆₄	[i]
29	Digital (58, 68, 5037516)-net over F₆₄	[i]
30	Digital (56, 66, 5033355)-net over F₆₄	[i]
31	Digital (57, 67, 5037451)-net over F₆₄	[i]
32	Digital (58, 68, 5045643)-net over F₆₄	[i]
33	Digital (58, 68, 5299595)-net over F₆₄	[i]
34	Digital (55, 65, 5033290)-net over F₆₄	[i]
35	Digital (56, 66, 5037386)-net over F₆₄	[i]
36	Digital (57, 67, 5041482)-net over F₆₄	[i]
37	Digital (57, 67, 5299530)-net over F₆₄	[i]
38	Digital (58, 68, 5303626)-net over F₆₄	[i]
39	Digital (58, 68, 6710945)-net over F₆₄	[i]
40	Digital (50, 60, 3359602)-net over F₆₄	[i]
41	Digital (53, 63, 5033225)-net over F₆₄	[i]
42	Digital (54, 64, 5037321)-net over F₆₄	[i]
43	Digital (55, 65, 5299465)-net over F₆₄	[i]
44	Digital (56, 66, 6710880)-net over F₆₄	[i]
45	Digital (47, 57, 3355505)-net over F₆₄	[i]
46	Digital (48, 58, 3359537)-net over F₆₄	[i]
47	Digital (49, 59, 3363705)-net over F₆₄	[i]
48	Digital (50, 60, 3625842)-net over F₆₄	[i]
49	Digital (51, 61, 5033160)-net over F₆₄	[i]