MinT - Information on Result #1187602

Information on Result #1187602

Digital (161, 189, 18724)-net over F₄, using net defined by OOA based on linear OOA(4¹⁸⁹, 18724, F₄, 28, 28) (dual of [(18724, 28), 524083, 29]-NRT-code), using

OA 14-folding and stacking [i] based on linear OA(4¹⁸⁹, 262136, F₄, 28) (dual of [262136, 261947, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁸⁹, 262143, F₄, 28) (dual of [262143, 261954, 29]-code), using
  - 1 times truncation [i] based on linear OA(4¹⁹⁰, 262144, F₄, 29) (dual of [262144, 261954, 30]-code), using
    - an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 4⁹âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [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 (176, 204, 18733)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
2	Digital (177, 205, 18734)-net over F₄	[i]
3	Digital (178, 206, 18738)-net over F₄	[i]
4	Digital (179, 207, 18739)-net over F₄	[i]
5	Digital (180, 208, 18741)-net over F₄	[i]