MinT - Information on Result #1197680

Information on Result #1197680

Digital (12, 25, 121)-net over F₂₇, using net defined by OOA based on linear OOA(27²⁵, 121, F₂₇, 13, 13) (dual of [(121, 13), 1548, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(27²⁵, 727, F₂₇, 13) (dual of [727, 702, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(27²⁵, 728, F₂₇, 13) (dual of [728, 703, 14]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 728Â = 27²âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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 (43, 69, 216)-net over F₂₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (44, 70, 224)-net over F₂₇	[i]
3	Digital (45, 71, 232)-net over F₂₇	[i]
4	Digital (46, 72, 249)-net over F₂₇	[i]
5	Digital (47, 73, 253)-net over F₂₇	[i]
6	Digital (48, 74, 261)-net over F₂₇	[i]
7	Digital (43, 70, 216)-net over F₂₇	[i]
8	Digital (44, 71, 224)-net over F₂₇	[i]
9	Digital (45, 72, 232)-net over F₂₇	[i]
10	Digital (46, 73, 249)-net over F₂₇	[i]
11	Digital (47, 74, 253)-net over F₂₇	[i]
12	Digital (48, 75, 261)-net over F₂₇	[i]
13	Digital (49, 76, 267)-net over F₂₇	[i]
14	Digital (76, 103, 1634)-net over F₂₇	[i]