MinT - Information on Result #1195738

Information on Result #1195738

Digital (85, 114, 9362)-net over F₁₆, using net defined by OOA based on linear OOA(16¹¹⁴, 9362, F₁₆, 29, 29) (dual of [(9362, 29), 271384, 30]-NRT-code), using

OOA 14-folding and stacking with additional row [i] based on linear OA(16¹¹⁴, 131069, F₁₆, 29) (dual of [131069, 130955, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹¹⁴, 131074, F₁₆, 29) (dual of [131074, 130960, 30]-code), using
  - trace code [i] based on linear OA(256⁵⁷, 65537, F₂₅₆, 29) (dual of [65537, 65480, 30]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,14], and minimum distance dÂ â‰¥ |{−14,−13,…,14}|+1Â =Â 30 (BCH-bound) [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 (86, 115, 9362)-net over F₁₆	[i]	Net Duplication
2	Digital (99, 128, 9379)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (100, 129, 9386)-net over F₁₆	[i]
4	Digital (101, 130, 9395)-net over F₁₆	[i]