MinT - Information on Result #1081093

Information on Result #1081093

Linear OOA(3¹⁴⁷, 2097479, F₃, 4, 13) (dual of [(2097479, 4), 8389769, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁴, 328, F₃, 4, 6) (dual of [(328, 4), 1288, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 24, 328)-net over F₃, using
  - trace code for nets [i] based on digital (0, 6, 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(3¹²³, 2097151, F₃, 4, 13) (dual of [(2097151, 4), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3¹²³, 4194302, F₃, 2, 13) (dual of [(4194302, 2), 8388481, 14]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(3¹²¹, 4194301, F₃, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹²¹, 8388602, F₃, 13) (dual of [8388602, 8388481, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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.