MinT - Information on Result #1179628

Information on Result #1179628

Digital (5, 8, 3214400)-net over F₃₂, using net defined by OOA based on linear OOA(32⁸, 3214400, F₃₂, 3, 3) (dual of [(3214400, 3), 9643192, 4]-NRT-code), using

appending kth column [i] based on linear OOA(32⁸, 3214400, F₃₂, 2, 3) (dual of [(3214400, 2), 6428792, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁸, 3214400, F₃₂, 3) (dual of [3214400, 3214392, 4]-code or 3214400-cap in PG(7,32)), using
  - product of projective cap with cap in AG(4,Â 32) [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 (28, 34, 5592402)-net over F₃₂	[i]	(u,Â u+v)-Construction for Nets
2	Digital (31, 37, 5592468)-net over F₃₂	[i]
3	Digital (32, 38, 5594452)-net over F₃₂	[i]
4	Digital (33, 39, 5598674)-net over F₃₂	[i]
5	Digital (34, 40, 5662102)-net over F₃₂	[i]
6	Digital (35, 41, 7061225)-net over F₃₂	[i]
7	Digital (36, 42, large)-net over F₃₂	[i]
8	Digital (32, 39, 5592400)-net over F₃₂	[i]
9	Digital (35, 42, 5592466)-net over F₃₂	[i]
10	Digital (36, 43, 5594450)-net over F₃₂	[i]
11	Digital (37, 44, 5598672)-net over F₃₂	[i]
12	Digital (38, 45, 5662100)-net over F₃₂	[i]
13	Digital (39, 46, 7061224)-net over F₃₂	[i]
14	Digital (40, 47, large)-net over F₃₂	[i]
15	(31, 38, 5592400)-net in base 32	[i]
16	Digital (69, 80, 5033160)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets
17	Digital (65, 75, 5033160)-net over F₃₂	[i]	Generalized (u,Â u+v)-Construction for Nets