MinT - Information on Result #1196942

Information on Result #1196942

Digital (47, 72, 1301)-net over F₂₅, using net defined by OOA based on linear OOA(25⁷², 1301, F₂₅, 25, 25) (dual of [(1301, 25), 32453, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(25⁷², 15613, F₂₅, 25) (dual of [15613, 15541, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁷², 15624, F₂₅, 25) (dual of [15624, 15552, 26]-code), using
  - 1 times truncation [i] based on linear OA(25⁷³, 15625, F₂₅, 26) (dual of [15625, 15552, 27]-code), using
    - an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [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 (59, 84, 1327)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
2	Digital (60, 85, 1328)-net over F₂₅	[i]
3	Digital (61, 86, 1329)-net over F₂₅	[i]
4	Digital (62, 87, 1353)-net over F₂₅	[i]
5	Digital (63, 88, 1367)-net over F₂₅	[i]
6	Digital (68, 93, 1405)-net over F₂₅	[i]
7	Digital (69, 94, 1427)-net over F₂₅	[i]