MinT - Information on Result #1195678

Information on Result #1195678

Digital (76, 102, 10082)-net over F₁₆, using net defined by OOA based on linear OOA(16¹⁰², 10082, F₁₆, 26, 26) (dual of [(10082, 26), 262030, 27]-NRT-code), using

OA 13-folding and stacking [i] based on linear OA(16¹⁰², 131066, F₁₆, 26) (dual of [131066, 130964, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹⁰², 131072, F₁₆, 26) (dual of [131072, 130970, 27]-code), using
  - trace code [i] based on linear OA(256⁵¹, 65536, F₂₅₆, 26) (dual of [65536, 65485, 27]-code), using
    - an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [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 (77, 103, 10082)-net over F₁₆	[i]	Net Duplication
2	Digital (89, 115, 10099)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (90, 116, 10106)-net over F₁₆	[i]
4	Digital (91, 117, 10115)-net over F₁₆	[i]
5	Digital (92, 118, 10120)-net over F₁₆	[i]
6	Digital (93, 119, 10127)-net over F₁₆	[i]
7	Digital (94, 120, 10131)-net over F₁₆	[i]