MinT - Information on Result #1196854

Information on Result #1196854

Digital (44, 67, 1420)-net over F₂₅, using net defined by OOA based on linear OOA(25⁶⁷, 1420, F₂₅, 23, 23) (dual of [(1420, 23), 32593, 24]-NRT-code), using

OOA 11-folding and stacking with additional row [i] based on linear OA(25⁶⁷, 15621, F₂₅, 23) (dual of [15621, 15554, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁶⁷, 15625, F₂₅, 23) (dual of [15625, 15558, 24]-code), using
  - an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [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 (55, 78, 1446)-net over F₂₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (56, 79, 1447)-net over F₂₅	[i]
3	Digital (57, 80, 1448)-net over F₂₅	[i]
4	Digital (58, 81, 1472)-net over F₂₅	[i]
5	Digital (59, 82, 1486)-net over F₂₅	[i]
6	Digital (63, 86, 1498)-net over F₂₅	[i]
7	Digital (64, 87, 1524)-net over F₂₅	[i]
8	Digital (65, 88, 1546)-net over F₂₅	[i]