MinT - Information on Result #2786837

Information on Result #2786837

Linear OOA(3²⁴⁷, 2391524, F₃, 4, 18) (dual of [(2391524, 4), 9565849, 19]-NRT-code), using 1 step truncation based on linear OOA(3²⁴⁸, 2391525, F₃, 4, 19) (dual of [(2391525, 4), 9565852, 20]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²², 40, F₃, 4, 9) (dual of [(40, 4), 138, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (13, 22, 40)-net over F₃, using
    - trace code for nets [i] based on digital (2, 11, 20)-net over F₉, using
      - net from sequence [i] based on digital (2, 19)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, 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.