MinT - Information on Result #1186920

Information on Result #1186920

Digital (85, 105, 1638)-net over F₄, using net defined by OOA based on linear OOA(4¹⁰⁵, 1638, F₄, 20, 20) (dual of [(1638, 20), 32655, 21]-NRT-code), using

OA 10-folding and stacking [i] based on linear OA(4¹⁰⁵, 16380, F₄, 20) (dual of [16380, 16275, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁰⁵, 16383, F₄, 20) (dual of [16383, 16278, 21]-code), using
  - 1 times truncation [i] based on linear OA(4¹⁰⁶, 16384, F₄, 21) (dual of [16384, 16278, 22]-code), using
    - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 4⁷âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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 (95, 115, 1643)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
2	Digital (96, 116, 1647)-net over F₄	[i]
3	Digital (97, 117, 1648)-net over F₄	[i]
4	Digital (98, 118, 1652)-net over F₄	[i]
5	Digital (99, 119, 1653)-net over F₄	[i]