MinT - Information on Result #1841006

Information on Result #1841006

OOA(32⁸⁸, 1048591, S₃₂, 18, 17), using OOA 4-folding and stacking with additional row based on OOA(32⁸⁸, 4194365, S₃₂, 2, 17), using

discarding factors based on OOA(32⁸⁸, 4194366, S₃₂, 2, 17), using
- (u,Â u+v)-construction [i] based on
  1. OOA(32¹⁰, 65, S₃₂, 2, 8), using
    - extracting embedded OOA [i] based on (2, 10, 65)-net in base 32, using
      - 2 times m-reduction [i] based on (2, 12, 65)-net in base 32, using
        base change [i] based on digital (0, 10, 65)-net over F₆₄, using
        net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
        Niederreiter sequence [i]
  2. OOA(32⁷⁸, 4194301, S₃₂, 2, 17), using
    - OOA 2-folding [i] based on OA(32⁷⁸, 8388602, S₃₂, 17), using
      - discarding factors based on OA(32⁷⁸, large, S₃₂, 17), using
        discarding parts of the base [i] based on linear OA(64⁶⁵, large, F₆₄, 17) (dual of [large, large−65, 18]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (BCH-bound) [i]

Mode: Constructive.

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	(71, 88, 1048591)-net in base 32	[i]		Net Defined by OOA