MinT - Information on Result #1721369

Information on Result #1721369

Linear OOA(4²⁶⁰, 9075, F₄, 45, 40) (dual of [(9075, 45), 408115, 41]-NRT-code), using OOA 7-folding and stacking with additional row based on linear OOA(4²⁶⁰, 63526, F₄, 3, 40) (dual of [(63526, 3), 190318, 41]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²⁶⁰, 63531, F₄, 3, 40) (dual of [(63531, 3), 190333, 41]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(4²⁶⁰, 63531, F₄, 40) (dual of [63531, 63271, 41]-code), using
  - discarding factors / shortening the dual code based on linear OA(4²⁶⁰, 65557, F₄, 40) (dual of [65557, 65297, 41]-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OA(4²⁰, 21, F₄, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,4)), using
        dual of repetition code with length 21 [i]
      2. linear OA(4²⁴⁰, 65536, F₄, 40) (dual of [65536, 65296, 41]-code), using
        1 times truncation [i] based on linear OA(4²⁴¹, 65537, F₄, 41) (dual of [65537, 65296, 42]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 65537Â | 4¹⁶âˆ’1, defining interval IÂ =Â [0,20], and minimum distance dÂ â‰¥ |{−20,−19,…,20}|+1Â =Â 42 (BCH-bound) [i]

Mode: Linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (220, 260, 9075)-net over F₄	[i]		Net Defined by OOA