MinT - Information on Result #1187662

Information on Result #1187662

Digital (150, 179, 4684)-net over F₄, using net defined by OOA based on linear OOA(4¹⁷⁹, 4684, F₄, 29, 29) (dual of [(4684, 29), 135657, 30]-NRT-code), using

OOA 14-folding and stacking with additional row [i] based on linear OA(4¹⁷⁹, 65577, F₄, 29) (dual of [65577, 65398, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁷⁹, 65578, F₄, 29) (dual of [65578, 65399, 30]-code), using
  - constructionÂ X applied to C_e(28) âŠ‚ C_e(22) [i] based on
    1. linear OA(4¹⁶⁹, 65536, F₄, 29) (dual of [65536, 65367, 30]-code), using an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
    2. linear OA(4¹³⁷, 65536, F₄, 23) (dual of [65536, 65399, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
    3. linear OA(4¹⁰, 42, F₄, 5) (dual of [42, 32, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹⁰, 63, F₄, 5) (dual of [63, 53, 6]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 63Â = 4³âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [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 (151, 179, 4684)-net over F₄	[i]	t-Expansion
2	Digital (151, 180, 4684)-net over F₄	[i]	Net Duplication
3	Digital (152, 181, 4684)-net over F₄	[i]
4	Digital (153, 182, 4684)-net over F₄	[i]
5	Digital (150, 178, 4684)-net over F₄	[i]	m-Reduction