MinT - Information on Result #1197040

Information on Result #1197040

Digital (51, 79, 1116)-net over F₂₅, using net defined by OOA based on linear OOA(25⁷⁹, 1116, F₂₅, 28, 28) (dual of [(1116, 28), 31169, 29]-NRT-code), using

OA 14-folding and stacking [i] based on linear OA(25⁷⁹, 15624, F₂₅, 28) (dual of [15624, 15545, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁷⁹, 15625, F₂₅, 28) (dual of [15625, 15546, 29]-code), using
  - an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [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 (52, 80, 1116)-net over F₂₅	[i]		Net Duplication
2	Digital (65, 93, 1142)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets
3	Digital (66, 94, 1143)-net over F₂₅	[i]
4	Digital (67, 95, 1144)-net over F₂₅	[i]
5	Digital (68, 96, 1168)-net over F₂₅	[i]
6	Digital (69, 97, 1182)-net over F₂₅	[i]
7	Digital (74, 102, 1220)-net over F₂₅	[i]
8	Digital (75, 103, 1242)-net over F₂₅	[i]