MinT - Information on Result #1775340

Information on Result #1775340

Digital (111, 129, 148546)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹²⁹, 148546, F₄, 18) (dual of [148546, 148417, 19]-code), using

discarding factors / shortening the dual code based on linear OA(4¹²⁹, 262159, F₄, 18) (dual of [262159, 262030, 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(4¹¹⁸, 262144, F₄, 18) (dual of [262144, 262026, 19]-code), using
    - an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 4⁹âˆ’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.