MinT - Information on Result #1179626

Information on Result #1179626

Digital (4, 7, 1050624)-net over F₃₂, using net defined by OOA based on linear OOA(32⁷, 1050624, F₃₂, 3, 3) (dual of [(1050624, 3), 3151865, 4]-NRT-code), using

appending kth column [i] based on linear OOA(32⁷, 1050624, F₃₂, 2, 3) (dual of [(1050624, 2), 2101241, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁷, 1050624, F₃₂, 3) (dual of [1050624, 1050617, 4]-code or 1050624-cap in PG(6,32)), using
  - product of two caps with tangent hyperplane [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 (27, 33, 3846825)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (31, 38, 3846824)-net over F₃₂	[i]
3	(30, 37, 3846824)-net in base 32	[i]
4	Digital (94, 107, 5592416)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
5	Digital (95, 108, 5592448)-net over F₃₂	[i]
6	Digital (97, 110, 5592480)-net over F₃₂	[i]
7	Digital (90, 102, 5592416)-net over F₃₂	[i]
8	Digital (91, 103, 5592448)-net over F₃₂	[i]
9	Digital (92, 104, 5592480)-net over F₃₂	[i]
10	Digital (94, 106, 5592512)-net over F₃₂	[i]
11	Digital (95, 107, 5592544)-net over F₃₂	[i]
12	Digital (96, 108, 5593472)-net over F₃₂	[i]
13	Digital (97, 109, 5593824)-net over F₃₂	[i]
14	Digital (98, 110, 5593856)-net over F₃₂	[i]
15	Digital (70, 81, 6710880)-net over F₃₂	[i]
16	Digital (71, 82, 6710944)-net over F₃₂	[i]
17	Digital (73, 84, 6711008)-net over F₃₂	[i]
18	Digital (75, 86, 6711936)-net over F₃₂	[i]
19	Digital (76, 87, 6712288)-net over F₃₂	[i]
20	Digital (77, 88, 6726752)-net over F₃₂	[i]
21	Digital (78, 89, 6726816)-net over F₃₂	[i]
22	Digital (79, 90, 6727808)-net over F₃₂	[i]
23	Digital (80, 91, large)-net over F₃₂	[i]
24	Digital (66, 76, 6710912)-net over F₃₂	[i]
25	Digital (67, 77, 6710944)-net over F₃₂	[i]
26	Digital (68, 78, 6710976)-net over F₃₂	[i]
27	Digital (69, 79, 6711008)-net over F₃₂	[i]
28	Digital (70, 80, 6711040)-net over F₃₂	[i]
29	Digital (71, 81, 6711968)-net over F₃₂	[i]
30	Digital (72, 82, 6712320)-net over F₃₂	[i]
31	Digital (73, 83, 6726784)-net over F₃₂	[i]
32	Digital (74, 84, 6726816)-net over F₃₂	[i]
33	Digital (75, 85, large)-net over F₃₂	[i]
34	Digital (54, 63, large)-net over F₃₂	[i]
35	Digital (34, 41, large)-net over F₃₂	[i]
36	Digital (30, 36, large)-net over F₃₂	[i]
37	Digital (79, 90, 7557936)-net over F₃₂	[i]
38	Digital (98, 110, 6295548)-net over F₃₂	[i]
39	Digital (68, 79, 4406064)-net over F₃₂	[i]
40	Digital (64, 74, 4406064)-net over F₃₂	[i]