MinT - Information on Result #1202200

Information on Result #1202200

Digital (27, 37, 1677720)-net over F₈₁, using net defined by OOA based on linear OOA(81³⁷, 1677720, F₈₁, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using

OA 5-folding and stacking [i] based on linear OA(81³⁷, 8388600, F₈₁, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(81³⁷, large, F₈₁, 10) (dual of [large, large−37, 11]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (28, 38, 1677720)-net over F₈₁	[i]		Net Duplication
2	Digital (29, 39, 1677720)-net over F₈₁	[i]		Net Duplication
3	Digital (138, 148, 6710880)-net over F₃	[i]		Trace Code for Nets
4	Digital (64, 74, 3355440)-net over F₉	[i]		Trace Code for Nets
5	Digital (32, 42, 1677802)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
6	Digital (33, 43, 1677820)-net over F₈₁	[i]
7	Digital (34, 44, 1680960)-net over F₈₁	[i]
8	Digital (36, 46, 1681042)-net over F₈₁	[i]
9	Digital (37, 47, 1684362)-net over F₈₁	[i]
10	Digital (38, 48, 1687441)-net over F₈₁	[i]
11	Digital (39, 49, 1690681)-net over F₈₁	[i]
12	Digital (40, 50, 1943441)-net over F₈₁	[i]
13	Digital (41, 51, 1943444)-net over F₈₁	[i]
14	Digital (42, 52, 1946802)-net over F₈₁	[i]
15	Digital (43, 53, 2215722)-net over F₈₁	[i]
16	Digital (44, 54, 3355440)-net over F₈₁	[i]
17	Digital (47, 57, 3355522)-net over F₈₁	[i]		Generalized (u,Â u+v)-Construction for Nets
18	Digital (48, 58, 3362002)-net over F₈₁	[i]
19	Digital (49, 59, 3371758)-net over F₈₁	[i]