MinT - Information on Result #1195644

Information on Result #1195644

Digital (73, 98, 10922)-net over F₁₆, using net defined by OOA based on linear OOA(16⁹⁸, 10922, F₁₆, 25, 25) (dual of [(10922, 25), 272952, 26]-NRT-code), using

OOA 12-folding and stacking with additional row [i] based on linear OA(16⁹⁸, 131065, F₁₆, 25) (dual of [131065, 130967, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(16⁹⁸, 131074, F₁₆, 25) (dual of [131074, 130976, 26]-code), using
  - trace code [i] based on linear OA(256⁴⁹, 65537, F₂₅₆, 25) (dual of [65537, 65488, 26]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (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 (85, 110, 10939)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (86, 111, 10946)-net over F₁₆	[i]
3	Digital (87, 112, 10955)-net over F₁₆	[i]
4	Digital (88, 113, 10960)-net over F₁₆	[i]
5	Digital (89, 114, 10967)-net over F₁₆	[i]
6	Digital (90, 115, 10971)-net over F₁₆	[i]