MinT - Information on Result #1015965

Information on Result #1015965

Linear OOA(9⁶³, 1594404, F₉, 3, 9) (dual of [(1594404, 3), 4783149, 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(9⁵⁶, 1594322, F₉, 3, 9) (dual of [(1594322, 3), 4782910, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9⁵⁶, 4782966, F₉, 9) (dual of [4782966, 4782910, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(9⁵⁶, 4782968, F₉, 9) (dual of [4782968, 4782912, 10]-code), using
    - 1 times truncation [i] based on linear OA(9⁵⁷, 4782969, F₉, 10) (dual of [4782969, 4782912, 11]-code), using
      - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’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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