MinT - Information on Result #1707723

Information on Result #1707723

Linear OOA(2¹⁰³, 2731713, F₂, 9, 9) (dual of [(2731713, 9), 24585314, 10]-NRT-code), using appending kth column based on linear OOA(2¹⁰³, 2731713, F₂, 8, 9) (dual of [(2731713, 8), 21853601, 10]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(2¹⁰³, 2731713, F₂, 3, 9) (dual of [(2731713, 3), 8195036, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁰³, 2796233, F₂, 3, 9) (dual of [(2796233, 3), 8388596, 10]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (6, 10, 32)-net over F₂, using
        linear code embedding found in a computer search [i]
    2. linear OOA(2⁹³, 2796201, F₂, 3, 9) (dual of [(2796201, 3), 8388510, 10]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(2⁹³, large, F₂, 9) (dual of [large, large−93, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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 (94, 103, 2731713)-net over F₂	[i]		Net Defined by OOA