MinT - Information on Result #3221679

Information on Result #3221679

Digital (229, 257, 599186)-net over F₄, using t-expansion based on digital (228, 257, 599186)-net over F₄, using

net defined by OOA [i] 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		This result only	Method
1	Digital (230, 258, 599186)-net over F₄	[i]		Net Duplication
2	Digital (231, 259, 599186)-net over F₄	[i]
3	Digital (232, 260, 599186)-net over F₄	[i]