MinT - Information on Result #1186374

Information on Result #1186374

Digital (134, 147, 4194301)-net over F₄, using net defined by OOA based on linear OOA(4¹⁴⁷, 4194301, F₄, 15, 13) (dual of [(4194301, 15), 62914368, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(4¹⁴⁷, large, F₄, 3, 13), using
- trace code [i] based on linear OOA(64⁴⁹, 2796201, F₆₄, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(64⁴⁹, large, F₆₄, 13) (dual of [large, large−49, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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 (183, 196, 6990502)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
2	Digital (186, 199, 6990507)-net over F₄	[i]
3	Digital (187, 200, 6990519)-net over F₄	[i]
4	Digital (188, 201, 6990543)-net over F₄	[i]
5	Digital (189, 202, 6990628)-net over F₄	[i]
6	Digital (190, 203, 6990790)-net over F₄	[i]
7	Digital (191, 204, 6991258)-net over F₄	[i]
8	Digital (192, 205, 6992612)-net over F₄	[i]
9	Digital (193, 206, 6995542)-net over F₄	[i]
10	Digital (194, 207, 7005925)-net over F₄	[i]
11	Digital (195, 208, 7025068)-net over F₄	[i]
12	Digital (196, 209, 8388602)-net over F₄	[i]