MinT - Information on Result #1195624

Information on Result #1195624

Digital (87, 111, 87381)-net over F₁₆, using net defined by OOA based on linear OOA(16¹¹¹, 87381, F₁₆, 24, 24) (dual of [(87381, 24), 2097033, 25]-NRT-code), using

OA 12-folding and stacking [i] based on linear OA(16¹¹¹, 1048572, F₁₆, 24) (dual of [1048572, 1048461, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹¹¹, 1048576, F₁₆, 24) (dual of [1048576, 1048465, 25]-code), using
  - an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 16⁵âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [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 (99, 123, 87398)-net over F₁₆	[i]		(u,Â u+v)-Construction for Nets
2	Digital (100, 124, 87405)-net over F₁₆	[i]
3	Digital (101, 125, 87414)-net over F₁₆	[i]
4	Digital (102, 126, 87419)-net over F₁₆	[i]
5	Digital (103, 127, 87426)-net over F₁₆	[i]
6	Digital (104, 128, 87430)-net over F₁₆	[i]
7	Digital (105, 129, 87446)-net over F₁₆	[i]