MinT - Information on Result #1187706

Information on Result #1187706

Digital (228, 257, 599186)-net over F₄, using net defined by OOA based on linear OOA(4²⁵⁷, 599186, F₄, 30, 29) (dual of [(599186, 30), 17975323, 30]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OOA(4²⁵⁷, 4194303, F₄, 2, 29) (dual of [(4194303, 2), 8388349, 30]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4²⁵³, 4194301, F₄, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(4²⁵³, 8388602, F₄, 29) (dual of [8388602, 8388349, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(4²⁵³, large, F₄, 29) (dual of [large, large−253, 30]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [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 (229, 257, 599186)-net over F₄	[i]	t-Expansion
2	Digital (229, 258, 599186)-net over F₄	[i]	Net Duplication
3	Digital (230, 259, 599186)-net over F₄	[i]
4	Digital (231, 260, 599186)-net over F₄	[i]