MinT - Information on Result #1838752

Information on Result #1838752

OOA(128⁷⁵, 2097536, S₁₂₈, 4, 18), using (u,Â u+v)-construction based on

OOA(128¹⁵, 386, S₁₂₈, 4, 9), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁴, 129, F₁₂₈, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;512,128) [i]
  2. OOA(128¹¹, 257, S₁₂₈, 4, 9), using
    - extracting embedded OOA [i] based on (2, 11, 257)-net in base 128, using
      - 5 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
        base change [i] based on digital (0, 14, 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]
OOA(128⁶⁰, 2097150, S₁₂₈, 4, 18), using
- OOA 4-folding [i] based on OA(128⁶⁰, 8388600, S₁₂₈, 18), using
  - discarding factors based on OA(128⁶⁰, large, S₁₂₈, 18), using
    - discarding parts of the base [i] based on linear OA(256⁵², large, F₂₅₆, 18) (dual of [large, large−52, 19]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

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