MinT - Information on Result #1179612

Information on Result #1179612

Digital (3, 6, 20496)-net over F₂₇, using net defined by OOA based on linear OOA(27⁶, 20496, F₂₇, 3, 3) (dual of [(20496, 3), 61482, 4]-NRT-code), using

appending kth column [i] based on linear OOA(27⁶, 20496, F₂₇, 2, 3) (dual of [(20496, 2), 40986, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(27⁶, 20496, F₂₇, 3) (dual of [20496, 20490, 4]-code or 20496-cap in PG(5,27)), using
  - large caps in PG(5,Â b) [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 (26, 32, 2816697)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (30, 37, 2816696)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (72, 82, 3376608)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (76, 87, 3376132)-net over F₂₇	[i]
5	Digital (75, 86, 3376104)-net over F₂₇	[i]
6	Digital (76, 87, 3376833)-net over F₂₇	[i]
7	Digital (71, 81, 3376104)-net over F₂₇	[i]
8	Digital (72, 82, 3376833)-net over F₂₇	[i]
9	Digital (74, 85, 3376076)-net over F₂₇	[i]
10	Digital (75, 86, 3376805)-net over F₂₇	[i]
11	Digital (70, 80, 3376076)-net over F₂₇	[i]
12	Digital (71, 81, 3376805)-net over F₂₇	[i]
13	Digital (60, 69, 4214936)-net over F₂₇	[i]
14	Digital (73, 84, 3376048)-net over F₂₇	[i]
15	Digital (74, 85, 3376777)-net over F₂₇	[i]
16	Digital (69, 79, 3376048)-net over F₂₇	[i]
17	Digital (70, 80, 3376777)-net over F₂₇	[i]
18	Digital (59, 68, 4214908)-net over F₂₇	[i]
19	Digital (60, 69, 4217824)-net over F₂₇	[i]
20	Digital (94, 107, 2815942)-net over F₂₇	[i]
21	Digital (90, 102, 2815942)-net over F₂₇	[i]
22	Digital (72, 83, 3376020)-net over F₂₇	[i]
23	Digital (73, 84, 3376749)-net over F₂₇	[i]
24	Digital (68, 78, 3376020)-net over F₂₇	[i]
25	Digital (69, 79, 3376749)-net over F₂₇	[i]
26	Digital (58, 67, 4214880)-net over F₂₇	[i]
27	Digital (59, 68, 4217067)-net over F₂₇	[i]
28	Digital (92, 105, 2815914)-net over F₂₇	[i]
29	Digital (93, 106, 2816643)-net over F₂₇	[i]
30	Digital (88, 100, 2815914)-net over F₂₇	[i]
31	Digital (89, 101, 2816643)-net over F₂₇	[i]
32	Digital (94, 106, 4214824)-net over F₂₇	[i]
33	Digital (95, 107, 4215553)-net over F₂₇	[i]
34	Digital (71, 82, 3375992)-net over F₂₇	[i]
35	Digital (72, 83, 3376721)-net over F₂₇	[i]
36	Digital (67, 77, 3375992)-net over F₂₇	[i]
37	Digital (68, 78, 3376721)-net over F₂₇	[i]
38	Digital (57, 66, 4214852)-net over F₂₇	[i]
39	Digital (58, 67, 4216310)-net over F₂₇	[i]
40	Digital (90, 103, 2815886)-net over F₂₇	[i]
41	Digital (91, 104, 2815890)-net over F₂₇	[i]
42	Digital (93, 106, 3082418)-net over F₂₇	[i]
43	Digital (96, 109, 4214796)-net over F₂₇	[i]
44	Digital (86, 98, 2815886)-net over F₂₇	[i]
45	Digital (87, 99, 2815890)-net over F₂₇	[i]
46	Digital (89, 101, 3082418)-net over F₂₇	[i]
47	Digital (92, 104, 4214796)-net over F₂₇	[i]
48	Digital (69, 80, 3375964)-net over F₂₇	[i]
49	Digital (70, 81, 3376693)-net over F₂₇	[i]
50	Digital (71, 82, 3396376)-net over F₂₇	[i]
51	Digital (65, 75, 3375964)-net over F₂₇	[i]
52	Digital (66, 76, 3376693)-net over F₂₇	[i]
53	Digital (67, 77, 3396376)-net over F₂₇	[i]
54	Digital (56, 65, 4214824)-net over F₂₇	[i]
55	Digital (57, 66, 4215553)-net over F₂₇	[i]
56	Digital (67, 78, 3375936)-net over F₂₇	[i]
57	Digital (63, 73, 3375936)-net over F₂₇	[i]
58	Digital (54, 63, 4214796)-net over F₂₇	[i]