MinT - Information on Result #1774728

Information on Result #1774728

Digital (98, 116, 48152)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4¹¹⁶, 48152, F₄, 18) (dual of [48152, 48036, 19]-code), using

discarding factors / shortening the dual code based on linear OA(4¹¹⁶, 65551, F₄, 18) (dual of [65551, 65435, 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(4¹⁰⁵, 65536, F₄, 18) (dual of [65536, 65431, 19]-code), using
    - an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’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.