MinT - Information on Result #1841772

Information on Result #1841772

OOA(128³⁴, 2097406, S₁₂₈, 12, 9), using OOA stacking with additional row based on OOA(128³⁴, 2097407, S₁₂₈, 4, 9), using

(u,Â u+v)-construction [i] based on
1. OOA(128⁵, 257, S₁₂₈, 4, 4), using
  - appending kth column [i] based on OOA(128⁵, 257, S₁₂₈, 3, 4), using
    - extracting embedded OOA [i] based on (1, 5, 257)-net in base 128, using
      - 3 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
        base change [i] based on digital (0, 7, 257)-net over F₂₅₆, using
        net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
2. OOA(128²⁹, 2097150, S₁₂₈, 4, 9), using
  - OOA 4-folding [i] based on OA(128²⁹, 8388600, S₁₂₈, 9), using
    - discarding factors based on OA(128²⁹, large, S₁₂₈, 9), using
      - discarding parts of the base [i] based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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	(25, 34, 2097406)-net in base 128	[i]		Net Defined by OOA