MinT - Information on Result #1202346

Information on Result #1202346

Digital (12, 25, 1093)-net over F₈₁, using net defined by OOA based on linear OOA(81²⁵, 1093, F₈₁, 13, 13) (dual of [(1093, 13), 14184, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(81²⁵, 6559, F₈₁, 13) (dual of [6559, 6534, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(81²⁵, 6561, F₈₁, 13) (dual of [6561, 6536, 14]-code), using
  - an extension C_e(12) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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		This result only	Method
1	Digital (18, 31, 1175)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
2	Digital (19, 32, 1193)-net over F₈₁	[i]
3	Digital (20, 33, 1209)-net over F₈₁	[i]
4	Digital (21, 34, 1257)-net over F₈₁	[i]
5	Digital (22, 35, 1275)-net over F₈₁	[i]
6	Digital (41, 67, 740)-net over F₈₁	[i]
7	Digital (41, 68, 740)-net over F₈₁	[i]