MinT - Information on Result #3257099

Information on Result #3257099

Digital (134, 148, 1198885)-net over F₄, using 4¹ times duplication based on digital (133, 147, 1198885)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (19, 26, 514)-net over F₄, using
  - trace code for nets [i] based on digital (6, 13, 257)-net over F₁₆, using
    - base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) for nets [i] based on digital (0, 7, 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 (107, 121, 1198371)-net over F₄, using
  - net defined by OOA [i] based on linear OOA(4¹²¹, 1198371, F₄, 14, 14) (dual of [(1198371, 14), 16777073, 15]-NRT-code), using
    - OA 7-folding and stacking [i] based on linear OA(4¹²¹, 8388597, F₄, 14) (dual of [8388597, 8388476, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹²¹, large, F₄, 14) (dual of [large, large−121, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.