MinT - Information on Result #1780712

Information on Result #1780712

Digital (181, 210, 166579)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²¹⁰, 166579, F₄, 29) (dual of [166579, 166369, 30]-code), using

discarding factors / shortening the dual code based on linear OA(4²¹⁰, 262170, F₄, 29) (dual of [262170, 261960, 30]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4²⁰, 26, F₄, 14) (dual of [26, 6, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(4²⁰, 27, F₄, 14) (dual of [27, 7, 15]-code), using
      - 1 times truncation [i] based on linear OA(4²¹, 28, F₄, 15) (dual of [28, 7, 16]-code), using
        a quasi-cyclic code by Gulliver and Bhargava [i]
  2. linear OA(4¹⁹⁰, 262144, F₄, 29) (dual of [262144, 261954, 30]-code), using
    - an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 4⁹âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [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.