MinT - Information on Result #2276027

Information on Result #2276027

Linear OA(4²⁵⁹, 313, F₄, 136) (dual of [313, 54, 137]-code), using 4 times code embedding in larger space based on linear OA(4²⁵⁵, 309, F₄, 136) (dual of [309, 54, 137]-code), using

3 times truncation [i] based on linear OA(4²⁵⁸, 312, F₄, 139) (dual of [312, 54, 140]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁴, 52, F₆₄, 34) (dual of [52, 18, 35]-code or 52-arc in PG(33,64)), using
    - discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
      - Reedâ€“Solomon code RS(30,64) [i]
  2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
    - hyperoval in PG(2,Â 4) [i]
    - the Hexacode [i]

Mode: Constructive and 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.