MinT - Information on Result #1778354

Information on Result #1778354

Digital (154, 179, 143450)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹⁷⁹, 143450, F₄, 25) (dual of [143450, 143271, 26]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁷⁹, 262165, F₄, 25) (dual of [262165, 261986, 26]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4¹⁶, 20, F₄, 12) (dual of [20, 4, 13]-code), using
    - 3 times truncation [i] based on linear OA(4¹⁹, 23, F₄, 15) (dual of [23, 4, 16]-code), using
      - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [17,1,16]-code [i] based on
        linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using projective code from ovoid in PG(3,Â 4) [i]
        linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
        hyperoval in PG(2,Â 4) [i]
        the Hexacode [i]
  2. linear OA(4¹⁶³, 262145, F₄, 25) (dual of [262145, 261982, 26]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 262145Â | 4¹⁸âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [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.