MinT - Information on Result #1187984

Information on Result #1187984

Digital (200, 238, 3452)-net over F₄, using net defined by OOA based on linear OOA(4²³⁸, 3452, F₄, 38, 38) (dual of [(3452, 38), 130938, 39]-NRT-code), using

OA 19-folding and stacking [i] based on linear OA(4²³⁸, 65588, F₄, 38) (dual of [65588, 65350, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4²³⁸, 65589, F₄, 38) (dual of [65589, 65351, 39]-code), using
  - constructionÂ X applied to C_e(37) âŠ‚ C_e(30) [i] based on
    1. linear OA(4²²⁵, 65536, F₄, 38) (dual of [65536, 65311, 39]-code), using an extension C_e(37) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,37], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 38 [i]
    2. linear OA(4¹⁸⁵, 65536, F₄, 31) (dual of [65536, 65351, 32]-code), using an extension C_e(30) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,30], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 31 [i]
    3. linear OA(4¹³, 53, F₄, 6) (dual of [53, 40, 7]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹³, 63, F₄, 6) (dual of [63, 50, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 63Â = 4³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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 (201, 239, 3452)-net over F₄	[i]	Net Duplication
2	Digital (202, 240, 3452)-net over F₄	[i]
3	Digital (203, 241, 3452)-net over F₄	[i]
4	Digital (204, 242, 3452)-net over F₄	[i]
5	Digital (205, 243, 3452)-net over F₄	[i]