MinT - Information on Result #2786836

Information on Result #2786836

Linear OOA(3²⁴⁵, 2391516, F₃, 4, 18) (dual of [(2391516, 4), 9565819, 19]-NRT-code), using 1 step truncation based on linear OOA(3²⁴⁶, 2391517, F₃, 4, 19) (dual of [(2391517, 4), 9565822, 20]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²⁰, 32, F₃, 4, 9) (dual of [(32, 4), 108, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (11, 20, 32)-net over F₃, using
    - trace code for nets [i] based on digital (1, 10, 16)-net over F₉, using
      - net from sequence [i] based on digital (1, 15)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [i]
2. linear OOA(3²²⁶, 2391485, F₃, 4, 19) (dual of [(2391485, 4), 9565714, 20]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(3²²⁶, 4782970, F₃, 2, 19) (dual of [(4782970, 2), 9565714, 20]-NRT-code), using
    - trace code [i] based on linear OOA(9¹¹³, 2391485, F₉, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(9¹¹³, 4782970, F₉, 19) (dual of [4782970, 4782857, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 9¹⁴âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.