MinT - Information on Result #1179542

Information on Result #1179542

Digital (21, 25, 4194301)-net over F₈, using net defined by OOA based on linear OOA(8²⁵, 4194301, F₈, 4, 4) (dual of [(4194301, 4), 16777179, 5]-NRT-code), using

appending kth column [i] based on linear OOA(8²⁵, 4194301, F₈, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(8²⁵, 8388602, F₈, 4) (dual of [8388602, 8388577, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(8²⁵, large, F₈, 4) (dual of [large, large−25, 5]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 8⁸âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (75, 83, 8388600)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (77, 85, 8388602)-net over F₈	[i]
3	Digital (79, 87, large)-net over F₈	[i]
4	Digital (82, 91, 8388600)-net over F₈	[i]
5	Digital (84, 93, 8388602)-net over F₈	[i]
6	Digital (86, 95, large)-net over F₈	[i]
7	Digital (158, 171, large)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
8	Digital (151, 163, large)-net over F₈	[i]
9	Digital (156, 169, large)-net over F₈	[i]
10	Digital (149, 161, large)-net over F₈	[i]
11	Digital (154, 167, large)-net over F₈	[i]
12	Digital (147, 159, large)-net over F₈	[i]
13	Digital (151, 164, 8388600)-net over F₈	[i]
14	Digital (144, 156, 8388600)-net over F₈	[i]
15	Digital (85, 94, large)-net over F₈	[i]
16	Digital (77, 85, large)-net over F₈	[i]