MinT - Information on Result #1195352

Information on Result #1195352

Digital (59, 76, 131071)-net over F₁₆, using net defined by OOA based on linear OOA(16⁷⁶, 131071, F₁₆, 17, 17) (dual of [(131071, 17), 2228131, 18]-NRT-code), using

OOA 8-folding and stacking with additional row [i] based on linear OA(16⁷⁶, 1048569, F₁₆, 17) (dual of [1048569, 1048493, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(16⁷⁶, 1048576, F₁₆, 17) (dual of [1048576, 1048500, 18]-code), using
  - an extension C_e(16) of the primitive narrow-sense BCH-code C(I) with length 1048575Â = 16⁵âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (67, 84, 131088)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (68, 85, 131095)-net over F₁₆	[i]
3	Digital (69, 86, 131104)-net over F₁₆	[i]
4	Digital (70, 87, 131109)-net over F₁₆	[i]
5	Digital (71, 88, 131116)-net over F₁₆	[i]
6	Digital (72, 89, 131120)-net over F₁₆	[i]
7	Digital (73, 90, 131136)-net over F₁₆	[i]