MinT - Information on Result #1179622

Information on Result #1179622

Digital (2, 5, 3136)-net over F₃₂, using net defined by OOA based on linear OOA(32⁵, 3136, F₃₂, 3, 3) (dual of [(3136, 3), 9403, 4]-NRT-code), using

appending kth column [i] based on linear OOA(32⁵, 3136, F₃₂, 2, 3) (dual of [(3136, 2), 6267, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁵, 3136, F₃₂, 3) (dual of [3136, 3131, 4]-code or 3136-cap in PG(4,32)), using
  - caps completed using a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (25, 31, 2799337)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (17, 24, 14059)-net over F₃₂	[i]
3	Digital (23, 30, 352662)-net over F₃₂	[i]
4	Digital (29, 36, 2799336)-net over F₃₂	[i]
5	Digital (93, 106, 2818857)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
6	Digital (89, 101, 2818857)-net over F₃₂	[i]
7	Digital (96, 110, 2398854)-net over F₃₂	[i]
8	Digital (87, 100, 2798312)-net over F₃₂	[i]
9	Digital (88, 101, 2798334)-net over F₃₂	[i]
10	Digital (89, 102, 2815721)-net over F₃₂	[i]
11	Digital (92, 105, 3323626)-net over F₃₂	[i]
12	Digital (83, 95, 2798312)-net over F₃₂	[i]
13	Digital (84, 96, 2798334)-net over F₃₂	[i]
14	Digital (85, 97, 2815721)-net over F₃₂	[i]
15	Digital (88, 100, 3323626)-net over F₃₂	[i]
16	Digital (68, 79, 3358609)-net over F₃₂	[i]
17	Digital (69, 80, 3359633)-net over F₃₂	[i]
18	Digital (64, 74, 3358609)-net over F₃₂	[i]
19	Digital (65, 75, 3359633)-net over F₃₂	[i]
20	Digital (66, 77, 3358576)-net over F₃₂	[i]
21	Digital (62, 72, 3358576)-net over F₃₂	[i]
22	Digital (53, 62, 4197436)-net over F₃₂	[i]