MinT - Information on Result #1195698

Information on Result #1195698

Digital (79, 106, 10082)-net over F₁₆, using net defined by OOA based on linear OOA(16¹⁰⁶, 10082, F₁₆, 27, 27) (dual of [(10082, 27), 272108, 28]-NRT-code), using

OOA 13-folding and stacking with additional row [i] based on linear OA(16¹⁰⁶, 131067, F₁₆, 27) (dual of [131067, 130961, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹⁰⁶, 131074, F₁₆, 27) (dual of [131074, 130968, 28]-code), using
  - trace code [i] based on linear OA(256⁵³, 65537, F₂₅₆, 27) (dual of [65537, 65484, 28]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,13], and minimum distance dÂ â‰¥ |{−13,−12,…,13}|+1Â =Â 28 (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 (80, 107, 10082)-net over F₁₆	[i]	Net Duplication
2	Digital (92, 119, 10099)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (93, 120, 10106)-net over F₁₆	[i]
4	Digital (94, 121, 10115)-net over F₁₆	[i]
5	Digital (95, 122, 10120)-net over F₁₆	[i]
6	Digital (96, 123, 10127)-net over F₁₆	[i]
7	Digital (97, 124, 10131)-net over F₁₆	[i]
8	Digital (98, 125, 10147)-net over F₁₆	[i]