MinT - Information on Result #1015959

Information on Result #1015959

Linear OOA(9⁴⁷, 19764, F₉, 3, 9) (dual of [(19764, 3), 59245, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9⁷, 82, F₉, 3, 4) (dual of [(82, 3), 239, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 82)-net over F₉, using
  - base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets [i] based on digital (0, 4, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
      - Niederreiter sequence [i]
linear OOA(9⁴⁰, 19682, F₉, 3, 9) (dual of [(19682, 3), 59006, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9⁴⁰, 59046, F₉, 9) (dual of [59046, 59006, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(9⁴⁰, 59048, F₉, 9) (dual of [59048, 59008, 10]-code), using
    - 1 times truncation [i] based on linear OA(9⁴¹, 59049, F₉, 10) (dual of [59049, 59008, 11]-code), using
      - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

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