MinT - Information on Result #1179620

Information on Result #1179620

Digital (1, 4, 1025)-net over F₃₂, using net defined by OOA based on linear OOA(32⁴, 1025, F₃₂, 3, 3) (dual of [(1025, 3), 3071, 4]-NRT-code), using

appending kth column [i] based on linear OOA(32⁴, 1025, F₃₂, 2, 3) (dual of [(1025, 2), 2046, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁴, 1025, F₃₂, 3) (dual of [1025, 1021, 4]-code or 1025-cap in PG(3,32)), using
  - ovoid in PG(3,Â 32) [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 (14, 20, 11948)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (19, 25, 350551)-net over F₃₂	[i]
3	Digital (24, 30, 2797226)-net over F₃₂	[i]
4	Digital (5, 12, 88)-net over F₃₂	[i]
5	Digital (10, 17, 684)-net over F₃₂	[i]
6	Digital (11, 18, 686)-net over F₃₂	[i]
7	Digital (16, 23, 11948)-net over F₃₂	[i]
8	Digital (22, 29, 350551)-net over F₃₂	[i]
9	Digital (28, 35, 2797225)-net over F₃₂	[i]
10	(27, 34, 2797225)-net in base 32	[i]
11	Digital (88, 101, 2797258)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
12	Digital (89, 102, 2797721)-net over F₃₂	[i]
13	Digital (84, 96, 2797258)-net over F₃₂	[i]
14	Digital (85, 97, 2797721)-net over F₃₂	[i]
15	Digital (95, 109, 2397767)-net over F₃₂	[i]
16	Digital (96, 110, 2398230)-net over F₃₂	[i]
17	Digital (86, 99, 2797225)-net over F₃₂	[i]
18	Digital (87, 100, 2797688)-net over F₃₂	[i]
19	Digital (88, 101, 2797739)-net over F₃₂	[i]
20	Digital (88, 101, 2798314)-net over F₃₂	[i]
21	Digital (89, 102, 2799306)-net over F₃₂	[i]
22	Digital (93, 106, 3321548)-net over F₃₂	[i]
23	Digital (82, 94, 2797225)-net over F₃₂	[i]
24	Digital (83, 95, 2797688)-net over F₃₂	[i]
25	Digital (84, 96, 2797739)-net over F₃₂	[i]
26	Digital (84, 96, 2798314)-net over F₃₂	[i]
27	Digital (85, 97, 2799306)-net over F₃₂	[i]
28	Digital (89, 101, 3321548)-net over F₃₂	[i]
29	Digital (69, 80, 3356531)-net over F₃₂	[i]
30	Digital (65, 75, 3356531)-net over F₃₂	[i]
31	Digital (93, 107, 2397734)-net over F₃₂	[i]
32	Digital (94, 108, 2397768)-net over F₃₂	[i]
33	Digital (95, 109, 2398823)-net over F₃₂	[i]
34	Digital (84, 97, 2797192)-net over F₃₂	[i]
35	Digital (85, 98, 2797226)-net over F₃₂	[i]
36	Digital (86, 99, 2798281)-net over F₃₂	[i]
37	Digital (88, 101, 2813610)-net over F₃₂	[i]
38	Digital (91, 104, 3321515)-net over F₃₂	[i]
39	Digital (80, 92, 2797192)-net over F₃₂	[i]
40	Digital (81, 93, 2797226)-net over F₃₂	[i]
41	Digital (82, 94, 2798281)-net over F₃₂	[i]
42	Digital (84, 96, 2813610)-net over F₃₂	[i]
43	Digital (87, 99, 3321515)-net over F₃₂	[i]
44	Digital (67, 78, 3356498)-net over F₃₂	[i]
45	Digital (68, 79, 3357490)-net over F₃₂	[i]
46	Digital (63, 73, 3356498)-net over F₃₂	[i]
47	Digital (64, 74, 3357490)-net over F₃₂	[i]
48	Digital (65, 76, 3356465)-net over F₃₂	[i]
49	Digital (61, 71, 3356465)-net over F₃₂	[i]
50	Digital (52, 61, 4195325)-net over F₃₂	[i]
51	(2, 5, 1025)-net in base 16	[i]	Base Change