MinT - Information on Result #1195424

Information on Result #1195424

Digital (67, 86, 116508)-net over F₁₆, using net defined by OOA based on linear OOA(16⁸⁶, 116508, F₁₆, 19, 19) (dual of [(116508, 19), 2213566, 20]-NRT-code), using

OOA 9-folding and stacking with additional row [i] based on linear OA(16⁸⁶, 1048573, F₁₆, 19) (dual of [1048573, 1048487, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(16⁸⁶, 1048576, F₁₆, 19) (dual of [1048576, 1048490, 20]-code), using
  - an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 16⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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 (76, 95, 116525)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (77, 96, 116532)-net over F₁₆	[i]
3	Digital (78, 97, 116541)-net over F₁₆	[i]
4	Digital (79, 98, 116546)-net over F₁₆	[i]
5	Digital (80, 99, 116553)-net over F₁₆	[i]
6	Digital (81, 100, 116557)-net over F₁₆	[i]
7	Digital (82, 101, 116573)-net over F₁₆	[i]