MinT - Information on Result #1081326

Information on Result #1081326

Linear OOA(3²⁴⁶, 2391524, F₃, 4, 18) (dual of [(2391524, 4), 9565850, 19]-NRT-code), using (u,Â u+v)-construction based on

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]
linear OOA(3²²⁴, 2391484, F₃, 4, 18) (dual of [(2391484, 4), 9565712, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3²²⁴, 4782968, F₃, 2, 18) (dual of [(4782968, 2), 9565712, 19]-NRT-code), using
  - trace code [i] based on linear OOA(9¹¹², 2391484, F₉, 2, 18) (dual of [(2391484, 2), 4782856, 19]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(9¹¹², 4782968, F₉, 18) (dual of [4782968, 4782856, 19]-code), using
      - discarding factors / shortening the dual code based on linear OA(9¹¹², 4782969, F₉, 18) (dual of [4782969, 4782857, 19]-code), using
        1 times truncation [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.