MinT - Information on Result #1774195

Information on Result #1774195

Digital (85, 103, 15603)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹⁰³, 15603, F₄, 18) (dual of [15603, 15500, 19]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁰³, 16399, F₄, 18) (dual of [16399, 16296, 19]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4¹¹, 15, F₄, 9) (dual of [15, 4, 10]-code), using
    - 2 times truncation [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]
  2. linear OA(4⁹², 16384, F₄, 18) (dual of [16384, 16292, 19]-code), using
    - an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 4⁷âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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.