MinT - Information on Result #1433257

Information on Result #1433257

Linear OOA(4²³⁹, 173427, F₄, 2, 33) (dual of [(173427, 2), 346615, 34]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²³⁹, 173427, F₄, 33) (dual of [173427, 173188, 34]-code), using

discarding factors / shortening the dual code based on linear OA(4²³⁹, 262171, F₄, 33) (dual of [262171, 261932, 34]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4²², 26, F₄, 16) (dual of [26, 4, 17]-code), using
    - juxtaposition [i] based on
      1. linear OA(4⁵, 9, F₄, 4) (dual of [9, 4, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(4⁵, 11, F₄, 4) (dual of [11, 6, 5]-code), using
        quaternary constacyclic codes with minimum distance 5 [i]
      2. 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(4²¹⁷, 262145, F₄, 33) (dual of [262145, 261928, 34]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 262145Â | 4¹⁸âˆ’1, defining interval IÂ =Â [0,16], and minimum distance dÂ â‰¥ |{−16,−15,…,16}|+1Â =Â 34 (BCH-bound) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.