MinT - Information on Result #1179696

Information on Result #1179696

Digital (12, 17, 4194301)-net over F₈₁, using net defined by OOA based on linear OOA(81¹⁷, 4194301, F₈₁, 5, 5) (dual of [(4194301, 5), 20971488, 6]-NRT-code), using

appending kth column [i] based on linear OOA(81¹⁷, 4194301, F₈₁, 4, 5) (dual of [(4194301, 4), 16777187, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(81¹⁷, large, F₈₁, 5) (dual of [large, large−17, 6]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (BCH-bound) [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 (13, 18, 4194301)-net over F₈₁	[i]	Net Duplication
2	Digital (29, 34, 8388602)-net over F₉	[i]	Trace Code for Nets
3	Digital (44, 54, 3355440)-net over F₈₁	[i]	(u,Â u+v)-Construction for Nets
4	Digital (49, 59, 3355604)-net over F₈₁	[i]
5	Digital (60, 70, 4431444)-net over F₈₁	[i]
6	Digital (61, 71, 6710880)-net over F₈₁	[i]
7	Digital (66, 76, 6711208)-net over F₈₁	[i]
8	Digital (67, 77, 8388602)-net over F₈₁	[i]
9	Digital (72, 82, large)-net over F₈₁	[i]
10	Digital (47, 58, 3355440)-net over F₈₁	[i]
11	Digital (52, 63, 3355604)-net over F₈₁	[i]
12	Digital (63, 74, 4431444)-net over F₈₁	[i]
13	Digital (64, 75, 6710880)-net over F₈₁	[i]
14	Digital (69, 80, 6711208)-net over F₈₁	[i]
15	Digital (70, 81, 8388602)-net over F₈₁	[i]
16	Digital (50, 61, 3355522)-net over F₈₁	[i]	Generalized (u,Â u+v)-Construction for Nets
17	Digital (51, 62, 3362002)-net over F₈₁	[i]
18	Digital (52, 63, 3371758)-net over F₈₁	[i]
19	Digital (47, 57, 3355522)-net over F₈₁	[i]
20	Digital (48, 58, 3362002)-net over F₈₁	[i]
21	Digital (49, 59, 3371758)-net over F₈₁	[i]