MinT - Information on Result #1202878

Information on Result #1202878

Digital (21, 43, 596)-net over F₈₁, using net defined by OOA based on linear OOA(81⁴³, 596, F₈₁, 22, 22) (dual of [(596, 22), 13069, 23]-NRT-code), using

OA 11-folding and stacking [i] based on linear OA(81⁴³, 6556, F₈₁, 22) (dual of [6556, 6513, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(81⁴³, 6561, F₈₁, 22) (dual of [6561, 6518, 23]-code), using
  - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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 (32, 54, 678)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
2	Digital (33, 55, 696)-net over F₈₁	[i]
3	Digital (34, 56, 712)-net over F₈₁	[i]
4	Digital (36, 58, 746)-net over F₈₁	[i]
5	Digital (37, 59, 760)-net over F₈₁	[i]
6	Digital (38, 60, 778)-net over F₈₁	[i]
7	Digital (39, 61, 796)-net over F₈₁	[i]
8	Digital (40, 62, 812)-net over F₈₁	[i]
9	Digital (40, 62, 842)-net over F₈₁	[i]