MinT - Information on Result #1714978

Information on Result #1714978

Digital (205, 227, 932071)-net over F₃, using net defined by OOA based on linear OOA(3²²⁷, 932071, F₃, 28, 22) (dual of [(932071, 28), 26097761, 23]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²²⁷, 2796214, F₃, 4, 22) (dual of [(2796214, 4), 11184629, 23]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²²⁷, 2796214, F₃, 3, 22) (dual of [(2796214, 3), 8388415, 23]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3¹⁶, 13, F₃, 3, 11) (dual of [(13, 3), 23, 12]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 16, 13)-net over F₃, using
        net from sequence [i] based on digital (5, 12)-sequence over F₃, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
    2. linear OOA(3²¹¹, 2796201, F₃, 3, 22) (dual of [(2796201, 3), 8388392, 23]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3²¹¹, large, F₃, 22) (dual of [large, large−211, 23]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: 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.