MinT - Information on Result #3257705

Information on Result #3257705

Digital (214, 236, 763114)-net over F₄, using 4¹ times duplication based on digital (213, 235, 763114)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (31, 42, 514)-net over F₄, using
  - trace code for nets [i] based on digital (10, 21, 257)-net over F₁₆, using
    - base reduction for projective spaces (embedding PG(10,256) in PG(20,16)) for nets [i] based on digital (0, 11, 257)-net over F₂₅₆, using
      - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
2. digital (171, 193, 762600)-net over F₄, using
  - net defined by OOA [i] based on linear OOA(4¹⁹³, 762600, F₄, 22, 22) (dual of [(762600, 22), 16777007, 23]-NRT-code), using
    - OA 11-folding and stacking [i] based on linear OA(4¹⁹³, 8388600, F₄, 22) (dual of [8388600, 8388407, 23]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹⁹³, large, F₄, 22) (dual of [large, large−193, 23]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.